Details

sample60.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 25.048822%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

32.0ms	70×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	24×	body	320	valid
3.0ms	102×	body	80	valid
1.0ms	12×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	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: 36.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.0b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	128	97
1	354	87
2	1280	81
3	5001	78

prune34.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.2b

Counts

19 → 4

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
3.0b	(log (+ 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
3.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

series17.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
11.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	488	495
1	2041	469
2	5001	445

prune97.0ms

Filtered

40 candidates to 72 candidates (-80.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0.1b

Counts

76 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
0.9b	(pow (log (+ 1.0 x)) (sqrt 3))
1.3b	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
3.0b	(log (+ 1.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `pow-unpow`
9×	`pow1`
8×	`add-exp-log`
6×	`sqrt-prod`
5×	`pow-exp` `sqr-pow`
4×	`log-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
3.0ms	(pow (log (+ 1.0 x)) (sqrt 3))
4.0ms	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
3.0ms	(log (+ 1.0 x))

series87.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
14.0ms	(pow (log (+ 1.0 x)) (sqrt 3))
27.0ms	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
3.0ms	(log (+ 1.0 x))

simplify96.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	897	1405
1	4438	1298
2	5003	1296

prune299.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	94	6	100

Merged error: 0.1b

Counts

100 → 6

regimes186.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 25.048822%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

1.0s	2243×	body	1280	valid
374.0ms	1682×	body	640	valid
97.0ms	842×	body	320	valid
73.0ms	2808×	body	80	valid
29.0ms	425×	body	160	valid

Details

sample60.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify38.0ms

prune34.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune6.0ms

localize6.0ms

rewrite10.0ms

series17.0ms

simplify52.0ms

prune97.0ms

localize11.0ms

rewrite16.0ms

series87.0ms

simplify96.0ms

prune299.0ms

regimes186.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling