Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
4.0ms	273×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ a (- (acos a)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/r*`
4×	`neg-mul-1`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 55

Calls

1 calls:

4.0ms

(/ a (- (acos a)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ a (- (acos a)))

simplify102.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	164	376
1	491	364
2	1440	359
3	3702	358
4	5001	358

prune105.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (- (acos a)) a)
0.5b	(/ 1 (/ (- (acos a)) a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
146×	`*-un-lft-identity`
144×	`add-sqr-sqrt` `add-cube-cbrt`
52×	`distribute-rgt-neg-in`
51×	`distribute-lft-neg-in`
40×	`associate-/r*`
25×	`associate-/l*`
17×	`neg-mul-1`
16×	`associate-/r/`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`rec-exp` `1-exp` `add-log-exp`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `inv-pow`

Counts

2 → 235

Calls

2 calls:

5.0ms	(/ (- (acos a)) a)
11.0ms	(/ 1 (/ (- (acos a)) a))

series54.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- (acos a)) a)
22.0ms	(/ 1 (/ (- (acos a)) a))

simplify78.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	666	1967
1	3075	1746
2	5001	1554

prune245.0ms

Filtered

241 candidates to 109 candidates (45.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	235	6	241
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	240	10	250

Merged error: 0.0b

Counts

250 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- (acos a)))
0.4b	(/ (/ 1 (- (acos a))) (/ 1 a))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

1207×	`times-frac`
556×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
141×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
51×	`div-inv`
47×	`neg-mul-1`
46×	`add-exp-log`
43×	`associate-/l*`
36×	`associate-/r*`
34×	`div-exp`
16×	`add-cbrt-cube` `associate-/l/`
9×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/`
4×	`frac-2neg` `clear-num`
3×	`pow1`
2×	`add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 603

Calls

2 calls:

7.0ms	(/ 1 (- (acos a)))
21.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

series34.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (- (acos a)))
28.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

simplify111.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2565	7495
1	5001	6338

prune615.0ms

Filtered

609 candidates to 234 candidates (38.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	606	3	609
Fresh	5	2	7
Picked	1	0	1
Done	0	2	2
Total	612	7	619

Merged error: 0b

Counts

619 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos a))
1.0b	(sqrt (acos a))
1.0b	(/ 1 (sqrt (acos a)))
1.0b	(/ 1 (- (sqrt (acos a))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`associate-/r*`
12×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`associate-/l*`
4×	`neg-mul-1` `pow-flip` `div-exp` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

4 → 154

Calls

4 calls:

1.0ms	(sqrt (acos a))
1.0ms	(sqrt (acos a))
4.0ms	(/ 1 (sqrt (acos a)))
6.0ms	(/ 1 (- (sqrt (acos a))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (acos a))
9.0ms	(sqrt (acos a))
13.0ms	(/ 1 (sqrt (acos a)))
34.0ms	(/ 1 (- (sqrt (acos a))))

simplify70.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	223	1066
1	758	969
2	1580	836
3	2836	836
4	5001	836

prune196.0ms

Filtered

166 candidates to 68 candidates (41.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	166	7	173

Merged error: 0b

Counts

173 → 7

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	3

end0.0ms

sample456.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
114.0ms	7716×	body	80	nan