Details

sample251.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 98.350049%

Results

12.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
9×	`add-log-exp`
6×	`pow1` `times-frac` `associate-r` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `associate-/r*` `frac-sub` `flip--` `div-inv` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series23.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	528	590
1	2266	548
2	5001	546

prune164.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	86	11	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	11	98

Merged error: 0.0b

Counts

98 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))
0.6b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`sqrt-prod` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/ (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (* 3.0 (sqrt x)) y)
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	621	742
1	3294	648
2	5001	611

prune158.0ms

Filtered

79 candidates to 132 candidates (-67.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Merged error: 0.0b

Counts

143 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`add-log-exp`
6×	`pow1` `associate-r` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`diff-log` `associate-l` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

20.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series23.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	752	956
1	3127	906
2	5002	906

prune229.0ms

Filtered

113 candidates to 146 candidates (-29.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	146	10	156

Merged error: 0.0b

Counts

156 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

32.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
5.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (/ y 3.0) (sqrt x))

simplify72.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	764	1441
1	2994	1367
2	5001	1367

prune179.0ms

Filtered

112 candidates to 167 candidates (-49.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	167	10	177

Merged error: 0.0b

Counts

177 → 10

regimes124.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample814.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 98.350049%

Results

374.0ms	8000×	body	80	valid
2.0ms	44×	body	80	invalid

Details

sample251.0ms

simplify16.0ms

prune3.0ms

localize12.0ms

rewrite26.0ms

series23.0ms

simplify59.0ms

prune164.0ms

localize13.0ms

rewrite24.0ms

series29.0ms

simplify80.0ms

prune158.0ms

localize10.0ms

rewrite43.0ms

series23.0ms

simplify76.0ms

prune229.0ms

localize11.0ms

rewrite51.0ms

series23.0ms

simplify72.0ms

prune179.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample814.0ms

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