Details

sample330.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.626221%

Guaranteed chance to sample good point: 95.718091%

Results

12.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	27	5
2	40	5
3	47	5
4	63	5
5	75	5
6	106	5
7	112	5
8	118	5
9	122	5
10	130	5
11	402	5
12	2605	5
13	5001	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: 9.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `times-frac` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
8.0ms	(* x (+ (/ x y) 1.0))
12.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
4.0ms	(* x (+ (/ x y) 1.0))
6.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	301	391
1	1508	339
2	5001	337

prune89.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
15.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
6.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	499	1501
1	2349	1440
2	5002	1438

prune180.0ms

Filtered

105 candidates to 167 candidates (-59.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	167	5	172

Merged error: 0b

Counts

172 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
8.9b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
43×	`*-un-lft-identity`
32×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

6.0ms	(+ (/ x y) 1.0)
9.0ms	(* x (+ (/ x y) 1.0))
13.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
11.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (/ x y) 1.0)
4.0ms	(* x (+ (/ x y) 1.0))
6.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
9.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	485	1062
1	2632	926
2	5001	872

prune116.0ms

Filtered

75 candidates to 142 candidates (-89.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	142	5	147

Merged error: 0b

Counts

147 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)
13.6b	(cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

398×	`*-un-lft-identity`
367×	`times-frac`
250×	`cbrt-prod`
186×	`add-sqr-sqrt` `add-cube-cbrt`
132×	`unpow-prod-down` `cube-prod`
106×	`distribute-lft-out`
57×	`associate-/r*`
27×	`associate-/r/`
14×	`flip3-+` `flip-+` `div-inv`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`cube-mult` `unpow3` `sqr-pow`
5×	`pow1`
4×	`add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow` `div-exp`
2×	`cbrt-div` `frac-2neg` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 392

Calls

4 calls:

24.0ms	(/ x (cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)))
10.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
12.0ms	(pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)
13.0ms	(cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ x (cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)))
7.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
20.0ms	(pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3)
8.0ms	(cbrt (pow (/ (+ x 1.0) (+ (/ x y) 1.0)) 3))

simplify113.0ms

Algorithm

egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	708	4567
1	3182	3909
2	5001	3884

prune281.0ms

Filtered

149 candidates to 404 candidates (-171.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	404	0	404
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	404	5	409

Merged error: 0b

Counts

409 → 5

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample764.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.626221%

Guaranteed chance to sample good point: 95.718091%

Results

260.0ms	8000×	body	80	valid
5.0ms	170×	body	80	invalid

Details

sample330.0ms

simplify71.0ms

prune3.0ms

localize7.0ms

rewrite28.0ms

series13.0ms

simplify44.0ms

prune89.0ms

localize7.0ms

rewrite38.0ms

series16.0ms

simplify68.0ms

prune180.0ms

localize10.0ms

rewrite43.0ms

series22.0ms

simplify69.0ms

prune116.0ms

localize10.0ms

rewrite82.0ms

series47.0ms

simplify113.0ms

prune281.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample764.0ms

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