Details

sample52.0ms

Algorithm

intervals

Results

26.0ms	773×	body	80	nan
10.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	16	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)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

6.0ms	(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)

series572.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
61.0ms	(sqrt (- 1.0 (* x x)))
99.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
130.0ms	(/ (sqrt (- 1.0 (* x x))) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	552	851
1	2221	829
2	5001	827

prune186.0ms

Filtered

57 candidates to 53 candidates (93.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 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))))))

rewrite12.0ms

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--` `frac-2neg` `pow1/2` `clear-num` `sum-log` `flip--` `div-inv`

Counts

4 → 18

Calls

4 calls:

2.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
2.0ms	(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))))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ 1.0 (sqrt (- 1.0 (* x x))))
211.0ms	(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
62.0ms	(sqrt (- 1.0 (* x x)))
263.0ms	(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify35.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	359	392
1	1287	381
2	5002	366

prune108.0ms

Filtered

30 candidates to 29 candidates (96.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	30	2	32

Merged error: 0b

Counts

32 → 2

regimes48.0ms

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

747.0ms	23979×	body	80	nan
305.0ms	8000×	body	80	valid