Details

sample278.0ms

Algorithm

intervals

Results

13.0ms	758×	body	80	nan
5.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (- x 1.0))
0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`sqrt-prod`
11×	`*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-cube-cbrt`
6×	`associate-r`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

2 → 55

Calls

2 calls:

5.0ms	(sqrt (- x 1.0))
11.0ms	(* (sqrt (- x 1.0)) (sqrt x))

series135.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(sqrt (- x 1.0))
91.0ms	(* (sqrt (- x 1.0)) (sqrt x))

simplify88.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	236	334
1	779	315
2	3154	304
3	5001	304

prune95.0ms

Filtered

61 candidates to 44 candidates (27.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize6.0ms

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

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

30.2b

(pow (* (- x 1.0) x) (/ 1 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`unpow-prod-down`
13×	`pow-unpow` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`times-frac`
5×	`associate-l`
4×	`pow1` `add-exp-log`
3×	`associate-r`
2×	`pow-pow` `pow-exp`
1×	`expm1-log1p-u` `pow-to-exp` `pow-prod-down` `prod-exp` `*-commutative` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

1 → 42

Calls

1 calls:

9.0ms

(pow (* (- x 1.0) x) (/ 1 2))

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

(pow (* (- x 1.0) x) (/ 1 2))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	318	265
1	1100	246
2	5002	231

prune65.0ms

Filtered

45 candidates to 34 candidates (24.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

regimes15.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample824.0ms

Algorithm

intervals

Results

366.0ms	23746×	body	80	nan
146.0ms	7993×	body	80	valid
0.0ms	7×	body	160	valid