Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
4.0ms	249×	body	80	nan

simplify2.0ms

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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 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)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ a (- (acos a)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

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

prune106.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	10	59

Merged error: 0.0b

Counts

59 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

10.0ms	(/ 1 (/ (- (acos a)) a))
5.0ms	(/ (- (acos a)) a)

series63.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (/ (- (acos a)) a))
39.0ms	(/ (- (acos a)) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	659	1916
1	3060	1699
2	5002	1507

prune252.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	218	5	223
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	224	9	233

Merged error: 0.0b

Counts

233 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
65×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
37×	`associate-/r*`
30×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
16×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`neg-mul-1`
7×	`cbrt-undiv` `div-exp`
4×	`div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/r/`

Counts

2 → 145

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
35.0ms	(/ (- (acos a)) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	523	1285
1	2715	1217
2	5002	1001

prune303.0ms

Filtered

151 candidates to 121 candidates (80.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	151	9	160

Merged error: 0.0b

Counts

160 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-exp-log`
40×	`times-frac` `div-exp`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`prod-exp` `associate-/r*`
12×	`cbrt-undiv`
10×	`rec-exp` `1-exp`
4×	`cbrt-unprod` `div-inv` `associate-/l*`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `mul-1-neg` `associate-*r/` `distribute-frac-neg` `associate-/r/` `un-div-inv` `inv-pow`

Counts

2 → 98

Calls

2 calls:

3.0ms	(/ 1 (acos a))
9.0ms	(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series34.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (acos a))
29.0ms	(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	475	616
1	2430	473
2	5001	428

prune105.0ms

Filtered

104 candidates to 45 candidates (43.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	104	9	113

Merged error: 0b

Counts

113 → 9

regimes58.0ms

Accuracy

0% (0.2b 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	4	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

166.0ms	8000×	body	80	valid
121.0ms	8139×	body	80	nan