Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
6.0ms	261×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	11	3
2	13	3
3	13	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

3.0ms

(sqrt (- 1.0 (* x x)))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(sqrt (- 1.0 (* x x)))

simplify81.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	165	131
1	568	128
2	2782	126
3	5001	123

prune36.0ms

Filtered

21 candidates to 18 candidates (85.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (sqrt (- 1.0 (* x x))))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(expm1 (log1p (sqrt (- 1.0 (* x x)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-div`
1×	`rem-sqrt-square` `log1p-udef` `expm1-log1p` `flip3--` `sqrt-pow1` `pow1/2` `log1p-expm1` `flip--` `expm1-udef` `difference-of-squares`

Counts

3 → 40

Calls

3 calls:

1.0ms	(log1p (sqrt (- 1.0 (* x x))))
3.0ms	(sqrt (- 1.0 (* x x)))
1.0ms	(expm1 (log1p (sqrt (- 1.0 (* x x)))))

series495.0ms

Counts

3 → 9

Calls

3 calls:

209.0ms	(log1p (sqrt (- 1.0 (* x x))))
60.0ms	(sqrt (- 1.0 (* x x)))
226.0ms	(expm1 (log1p (sqrt (- 1.0 (* x x)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	334	373
1	1275	344
2	5001	322

prune107.0ms

Filtered

49 candidates to 43 candidates (87.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Merged error: 0b

Counts

51 → 2

regimes39.0ms

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	5	3

end0.0ms

sample551.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
179.0ms	8277×	body	80	nan