Details

sample88.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.024414%

Guaranteed chance to sample good point: 99.987787%

Results

46.0ms	99×	body	1280	valid
22.0ms	90×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	9×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune6.0ms

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: 57.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.9b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

7.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify136.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	623
2	4497	605
3	5001	605

prune149.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.2b

Counts

90 → 6

localize10.0ms

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

prune13.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.2b

Counts

6 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
0.0b	(/ 1 (+ 1.0 eps))
5.0b	(log (- 1.0 eps))
5.0b	(log (/ 1 (+ 1.0 eps)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
46×	`log-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
12×	`pow1`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 130

Calls

4 calls:

11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
6.0ms	(/ 1 (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))
5.0ms	(log (/ 1 (+ 1.0 eps)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
2.0ms	(/ 1 (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))
4.0ms	(log (/ 1 (+ 1.0 eps)))

simplify46.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	485	866
1	1633	769
2	5001	675

prune177.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	142	6	148

Merged error: 0.2b

Counts

148 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.0b	(log (- 1.0 eps))
5.0b	(log (+ 1.0 eps))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

8.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))
3.0ms	(log (+ 1.0 eps))

series17.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
3.0ms	(log (- 1.0 eps))
3.0ms	(log (+ 1.0 eps))

simplify84.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	323	439
1	887	414
2	3343	392
3	5002	392

prune100.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	74	2	76

Merged error: 0b

Counts

76 → 2

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.024414%

Guaranteed chance to sample good point: 99.987787%

Results

1.5s	3338×	body	1280	valid
634.0ms	2551×	body	640	valid
185.0ms	1234×	body	320	valid
62.0ms	670×	body	160	valid
9.0ms	207×	body	80	valid

Details

sample88.0ms

simplify6.0ms

prune6.0ms

localize5.0ms

rewrite18.0ms

series9.0ms

simplify136.0ms

prune149.0ms

localize10.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune13.0ms

localize8.0ms

rewrite31.0ms

series17.0ms

simplify46.0ms

prune177.0ms

localize7.0ms

rewrite17.0ms

series17.0ms

simplify84.0ms

prune100.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

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