Details

sample280.0ms

Algorithm

intervals

Results

13.0ms	768×	body	80	nan
6.0ms	256×	body	80	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 (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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

10.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify75.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	181	216
1	610	206
2	2471	201
3	5002	201

prune68.0ms

Filtered

37 candidates to 25 candidates (67.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.125 (/ 1 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`add-exp-log` `*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

7.0ms

(* 0.125 (/ 1 x))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* 0.125 (/ 1 x))

simplify77.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	174	138
1	722	114
2	2570	96
3	4879	96
4	5001	96

prune58.0ms

Filtered

39 candidates to 25 candidates (64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

26.4b

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log`
3×	`pow-unpow`
2×	`add-sqr-sqrt` `add-cube-cbrt` `pow-pow` `*-un-lft-identity` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `pow-prod-down` `prod-exp` `add-cbrt-cube` `unpow1/2` `add-log-exp` `sqr-pow`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

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

simplify88.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	150	118
1	484	106
2	2456	96
3	5001	96

prune32.0ms

Filtered

21 candidates to 15 candidates (71.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	21	3	24

Merged error: 0b

Counts

24 → 3

regimes35.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample937.0ms

Algorithm

intervals

Results

409.0ms	24120×	body	80	nan
163.0ms	7987×	body	80	valid
1.0ms	13×	body	160	valid