Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
4.0ms	227×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

8.0ms

(/ a (- (acos a)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ a (- (acos a)))

simplify107.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (40.0ms)

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

prune117.0ms

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:

0.3b	(/ (- (acos a)) a)
0.4b	(/ 1 (/ (- (acos a)) a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
140×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`associate-/r*`
16×	`neg-mul-1`
15×	`add-exp-log`
13×	`associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `associate-/r/` `inv-pow`

Counts

2 → 217

Calls

2 calls:

5.0ms	(/ (- (acos a)) a)
14.0ms	(/ 1 (/ (- (acos a)) a))

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- (acos a)) a)
29.0ms	(/ 1 (/ (- (acos a)) a))

simplify88.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	659	1916
1	3060	1699
2	5001	1507

prune277.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	220	12	232

Merged error: 0.0b

Counts

232 → 12

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- (acos a)) (/ 1 a))
0.4b	(/ 1 (* (- (acos a)) (/ 1 a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`div-exp`
16×	`prod-exp` `add-cbrt-cube`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac`
13×	`associate-r`
10×	`associate-l`
9×	`rec-exp` `1-exp`
7×	`pow1`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `associate-/r/` `un-div-inv` `div-inv` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

2 → 84

Calls

2 calls:

9.0ms	(* (- (acos a)) (/ 1 a))
8.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- (acos a)) (/ 1 a))
32.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	351	507
1	1630	403
2	5001	379

prune125.0ms

Filtered

90 candidates to 45 candidates (50.0%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	89	13	102

Merged error: 0.0b

Counts

102 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.9b	(sqrt (acos a))
0.9b	(sqrt (acos a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
2.0ms	(sqrt (acos a))
2.0ms	(sqrt (acos a))

series433.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt a)
203.0ms	(cbrt a)
12.0ms	(sqrt (acos a))
13.0ms	(sqrt (acos a))

simplify150.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 5 (145.0ms)

Iter	Nodes	Cost
0	57	172
1	100	164
2	214	160
3	720	160
4	4142	160
5	5002	158

prune134.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	58	15	73

Merged error: 0b

Counts

73 → 15

regimes100.0ms

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

sample460.0ms

Algorithm

intervals

Results

166.0ms	8000×	body	80	valid
115.0ms	7846×	body	80	nan