Details

sample57.0ms

Algorithm

intervals

Results

29.0ms	70×	body	10240	exit
10.0ms	271×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	12×	body	320	valid
2.0ms	6×	body	640	valid
0.0ms	5×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (+ 1.0 (exp x)))
0.0b	(+ 1.0 (exp x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

3.0ms	(log (+ 1.0 (exp x)))
3.0ms	(+ 1.0 (exp x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(log (+ 1.0 (exp x)))
9.0ms	(+ 1.0 (exp x))

simplify96.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5001	150

prune61.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.5b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

6.0ms	(* 1/2 (pow x 2))
12.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 1/2 (pow x 2))
83.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
18.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
53.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune163.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Merged error: 0b

Counts

85 → 2

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

982.0ms	2411×	body	10240	exit
325.0ms	8367×	body	80	valid
69.0ms	139×	body	1280	valid
65.0ms	246×	body	640	valid
31.0ms	195×	body	320	valid
11.0ms	111×	body	160	valid