Details

sample174.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.703613%

Guaranteed chance to sample good point: 97.670143%

Results

7.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(* x (- y 1.0))
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (- y 1.0))
5.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify71.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2660	196
3	5003	196

prune52.0ms

Filtered

29 candidates to 48 candidates (-65.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (- (* (neg 1.0) x) (* y 0.5)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (* x y) (- (* (neg 1.0) x) (* y 0.5)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* x y) (- (* (neg 1.0) x) (* y 0.5)))

simplify50.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	153
1	367	127
2	1793	124
3	5002	124

prune21.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt y) (sqrt 1.0))
0.0b	(- (* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0))) (* y 0.5))
0.1b	(* x (+ (sqrt y) (sqrt 1.0)))
0.1b	(* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ (sqrt y) (sqrt 1.0))
16.0ms	(- (* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0))) (* y 0.5))
8.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
14.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (sqrt y) (sqrt 1.0))
10.0ms	(- (* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0))) (* y 0.5))
8.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
19.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0)))

simplify82.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	546	924
1	2975	734
2	5001	722

prune147.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample633.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.703613%

Guaranteed chance to sample good point: 97.670143%

Results

260.0ms	7996×	body	80	valid
10.0ms	325×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample174.0ms

simplify40.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series9.0ms

simplify71.0ms

prune52.0ms

localize9.0ms

rewrite6.0ms

series5.0ms

simplify50.0ms

prune21.0ms

localize11.0ms

rewrite46.0ms

series41.0ms

simplify82.0ms

prune147.0ms

regimes62.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample633.0ms

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