Details

sample150.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 97.521838%

Results

11.0ms	256×	body	80	valid
0.0ms	1×	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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite25.0ms

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

series27.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

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

prune165.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.3b	(/ y (sqrt x))
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

7.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms	(/ y (sqrt x))
9.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	782	1162
1	3616	1041
2	5001	1033

prune203.0ms

Filtered

110 candidates to 162 candidates (-47.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	162	9	171

Merged error: 0.0b

Counts

171 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
0.2b	(/ (/ y (sqrt x)) 3.0)
0.3b	(/ y (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
109×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
96×	`add-cube-cbrt`
49×	`sqrt-prod`
28×	`associate-/l*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
9×	`add-log-exp`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `difference-of-squares`
3×	`frac-2neg` `diff-log` `clear-num` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `associate--l+` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 190

Calls

4 calls:

28.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
9.0ms	(/ (/ y (sqrt x)) 3.0)
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
8.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ y (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	793	1568
1	3072	1491
2	5001	1490

prune238.0ms

Filtered

142 candidates to 202 candidates (-42.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	203	8	211

Merged error: 0.0b

Counts

211 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y (sqrt x)) 3.0))
0.2b	(/ (/ y (sqrt x)) 3.0)
0.3b	(/ y (sqrt x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

161×	`times-frac`
106×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`add-cube-cbrt`
49×	`sqrt-prod`
25×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`div-inv`
4×	`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-` `associate-/l/`

Counts

3 → 169

Calls

3 calls:

35.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y (sqrt x)) 3.0))
8.0ms	(/ (/ y (sqrt x)) 3.0)
4.0ms	(/ y (sqrt x))

series24.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y (sqrt x)) 3.0))
8.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ y (sqrt x))

simplify71.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	711	1451
1	2633	1384
2	5001	1383

prune186.0ms

Filtered

126 candidates to 178 candidates (-41.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	178	8	186

Merged error: 0.0b

Counts

186 → 8

regimes118.0ms

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	11	6

end0.0ms

sample703.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 52.835083%

Guaranteed chance to sample good point: 97.521838%

Results

372.0ms	8000×	body	80	valid
2.0ms	39×	body	80	invalid

Details

sample150.0ms

simplify16.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series27.0ms

simplify58.0ms

prune165.0ms

localize11.0ms

rewrite37.0ms

series27.0ms

simplify88.0ms

prune203.0ms

localize9.0ms

rewrite56.0ms

series26.0ms

simplify76.0ms

prune238.0ms

localize8.0ms

rewrite55.0ms

series24.0ms

simplify71.0ms

prune186.0ms

regimes118.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample703.0ms

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