Details

analyze87.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 11.445185%

Guaranteed chance to sample good point: 97.803484%

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	10	2
2	10	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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ x (* y 3.0))

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:

5.0ms

(/ x (* y 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ x (* y 3.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	109	86
1	368	71
2	1509	71
3	4608	71
4	5002	71

prune43.0ms

Filtered

17 candidates to 24 candidates (-41.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0b

Counts

25 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (/ 1 (* y 3.0)))
0.3b	(/ 1 (* y 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

7.0ms	(* x (/ 1 (* y 3.0)))
5.0ms	(/ 1 (* y 3.0))

series5.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x (/ 1 (* y 3.0)))
2.0ms	(/ 1 (* y 3.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	211	234
1	931	187
2	4282	177
3	5001	177

prune55.0ms

Filtered

33 candidates to 66 candidates (-100.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (/ x 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

11.0ms

(* (/ 1 y) (/ x 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ 1 y) (/ x 3.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	334	297
1	1461	247
2	5002	231

prune63.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x (* y 3.0))) (cbrt (/ x (* y 3.0))))
8.7b	(cbrt (/ x (* y 3.0)))
8.7b	(cbrt (/ x (* y 3.0)))
8.7b	(cbrt (/ x (* y 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

9.0ms	(* (cbrt (/ x (* y 3.0))) (cbrt (/ x (* y 3.0))))
3.0ms	(cbrt (/ x (* y 3.0)))
3.0ms	(cbrt (/ x (* y 3.0)))
3.0ms	(cbrt (/ x (* y 3.0)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (/ x (* y 3.0))) (cbrt (/ x (* y 3.0))))
16.0ms	(cbrt (/ x (* y 3.0)))
16.0ms	(cbrt (/ x (* y 3.0)))
17.0ms	(cbrt (/ x (* y 3.0)))

simplify117.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	241	865
1	842	806
2	4400	746
3	5002	741

prune200.0ms

Filtered

89 candidates to 115 candidates (-29.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes187.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

analyze87.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 11.445185%

Guaranteed chance to sample good point: 97.803484%

sample289.0ms

Algorithm

intervals

Results

162.0ms	8000×	body	80	valid
2.0ms	98×	body	80	invalid

Details

analyze87.0ms

sample12.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series3.0ms

simplify76.0ms

prune43.0ms

localize5.0ms

rewrite14.0ms

series5.0ms

simplify81.0ms

prune55.0ms

localize5.0ms

rewrite13.0ms

series3.0ms

simplify37.0ms

prune63.0ms

localize10.0ms

rewrite22.0ms

series81.0ms

simplify117.0ms

prune200.0ms

regimes187.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze87.0ms

sample289.0ms

Profiling