Details

sample145.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify38.0ms

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

prune2.0ms

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

rewrite21.0ms

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:

10.0ms	(- (* x (- y 1.0)) (* y 0.5))
9.0ms	(* x (- y 1.0))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* x (- y 1.0)) (* y 0.5))
8.0ms	(* x (- y 1.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2659	196
3	5002	196

prune50.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`associate--l-` `diff-log` `distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `unsub-neg` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 16

Calls

1 calls:

6.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	113	156
1	416	141
2	2066	133
3	5001	133

prune24.0ms

Filtered

12 candidates to 19 candidates (-58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Merged error: 0b

Counts

21 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

12.0ms	(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
7.0ms	(* x (sqrt (- y 1.0)))
11.0ms	(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
11.0ms	(* x (sqrt (- y 1.0)))
9.0ms	(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	489	634
1	2167	548
2	5001	528

prune109.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Merged error: 0b

Counts

80 → 2

regimes63.0ms

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

sample455.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

228.0ms	7998×	body	80	valid
1.0ms	34×	body	80	invalid
0.0ms	2×	body	1280	valid

Details

sample145.0ms

simplify38.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series16.0ms

simplify73.0ms

prune50.0ms

localize8.0ms

rewrite6.0ms

series5.0ms

simplify63.0ms

prune24.0ms

localize9.0ms

rewrite33.0ms

series28.0ms

simplify53.0ms

prune109.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

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