Details

sample12.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

5.0ms

339×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune33.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.1b

Counts

22 → 7

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.0b	(sqrt (* (* x 3.0) x))
18.0b	(sqrt (* (* x 3.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 3.0) x)
7.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune111.0ms

Filtered

48 candidates to 120 candidates (-150.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
18.0b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.0b	(sqrt (* (* x 3.0) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
5.0ms	(sqrt (* (* x 3.0) x))

series55.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
8.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	104	242
1	211	225
2	473	165
3	1430	163
4	5002	157

prune93.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

18.0b	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
18.7b	(cbrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))
18.7b	(cbrt (* (* x 3.0) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 51

Calls

4 calls:

8.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))
4.0ms	(cbrt (* (* x 3.0) x))

series89.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
25.0ms	(cbrt (* (* x 3.0) x))
25.0ms	(cbrt (* (* x 3.0) x))
27.0ms	(cbrt (* (* x 3.0) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	123	338
1	322	306
2	1708	267
3	5002	267

prune124.0ms

Filtered

43 candidates to 63 candidates (-46.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	62	10	72

Merged error: 0.0b

Counts

72 → 10

regimes97.0ms

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	6	2
1	6	2

end0.0ms

sample332.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

171.0ms

10592×

body

valid

Details

sample12.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify51.0ms

prune33.0ms

localize5.0ms

rewrite28.0ms

series17.0ms

simplify42.0ms

prune111.0ms

localize11.0ms

rewrite19.0ms

series55.0ms

simplify43.0ms

prune93.0ms

localize11.0ms

rewrite21.0ms

series89.0ms

simplify75.0ms

prune124.0ms

regimes97.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample332.0ms

Profiling