Details

sample48.0ms

Algorithm

intervals

Results

23.0ms	773×	body	80	nan
9.0ms	256×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	18	7
3	18	7

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`frac-add`
17×	`log-div` `frac-2neg` `clear-num`
16×	`sqrt-div`
14×	`associate-/l/`
8×	`flip3--` `flip--`
6×	`div-inv`
2×	`distribute-rgt-out` `flip3-+` `flip-+`
1×	`+-commutative` `log-prod` `fma-def` `pow1/2`

Counts

4 → 46

Calls

4 calls:

9.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
2.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
3.0ms	(/ (sqrt (- 1.0 (* x x))) x)

series585.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
62.0ms	(sqrt (- 1.0 (* x x)))
102.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
129.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	583	837
1	2408	810
2	5002	806

prune189.0ms

Filtered

58 candidates to 54 candidates (93.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
0.0b	(sqrt (- 1.0 (* x x)))
0.2b	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`log-div`
4×	`flip3-+` `flip-+`
3×	`associate-+l-`
2×	`+-commutative` `associate-+r-` `sqrt-div`
1×	`associate-+l+` `log-prod` `flip3--` `fma-def` `frac-2neg` `pow1/2` `clear-num` `sum-log` `log-pow` `flip--` `div-inv` `inv-pow`

Counts

4 → 19

Calls

4 calls:

3.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
3.0ms	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
2.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series603.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
213.0ms	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
56.0ms	(sqrt (- 1.0 (* x x)))
276.0ms	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	391
1	1380	371
2	5002	352

prune113.0ms

Filtered

31 candidates to 30 candidates (96.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0b

Counts

33 → 2

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

724.0ms	23979×	body	80	nan
293.0ms	8000×	body	80	valid