Details

sample14.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

6.0ms

338×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

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: 0.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1.0 (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify91.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune36.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune78.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1.0 (* x x))
18.7b	(cbrt (/ 1.0 (* x x)))
18.7b	(cbrt (/ 1.0 (* x x)))
18.7b	(cbrt (/ 1.0 (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

4.0ms	(/ 1.0 (* x x))
3.0ms	(cbrt (/ 1.0 (* x x)))
3.0ms	(cbrt (/ 1.0 (* x x)))
3.0ms	(cbrt (/ 1.0 (* x x)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1.0 (* x x))
24.0ms	(cbrt (/ 1.0 (* x x)))
26.0ms	(cbrt (/ 1.0 (* x x)))
25.0ms	(cbrt (/ 1.0 (* x x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	167	431
1	442	392
2	1284	347
3	5001	331

prune130.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ 1.0 x))
0.1b	(sqrt (/ 1.0 x))
0.1b	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) x))
0.1b	(/ (sqrt (/ 1.0 x)) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
162×	`add-sqr-sqrt`
144×	`sqrt-prod`
116×	`add-cube-cbrt` `*-un-lft-identity`
52×	`associate-r`
16×	`associate-l` `associate-/l*`
12×	`div-inv` `unswap-sqr`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
5×	`sqrt-div`
4×	`rem-sqrt-square` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 226

Calls

4 calls:

3.0ms	(sqrt (/ 1.0 x))
3.0ms	(sqrt (/ 1.0 x))
26.0ms	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) x))
6.0ms	(/ (sqrt (/ 1.0 x)) x)

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (/ 1.0 x))
4.0ms	(sqrt (/ 1.0 x))
8.0ms	(* (sqrt (/ 1.0 x)) (/ (sqrt (/ 1.0 x)) x))
6.0ms	(/ (sqrt (/ 1.0 x)) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	637	1884
1	2692	1724
2	5002	1666

prune385.0ms

Filtered

188 candidates to 238 candidates (-26.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	238	6	244

Merged error: 0.0b

Counts

244 → 6

regimes151.0ms

Accuracy

0% (0.1b 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	4	2

end0.0ms

sample353.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results

184.0ms

10646×

body

valid

Details

sample14.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify91.0ms

prune36.0ms

localize3.0ms

rewrite9.0ms

series3.0ms

simplify33.0ms

prune78.0ms

localize7.0ms

rewrite16.0ms

series77.0ms

simplify40.0ms

prune130.0ms

localize5.0ms

rewrite50.0ms

series22.0ms

simplify81.0ms

prune385.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample353.0ms

Profiling