Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	234×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	3

prune1.0ms

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)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ a (- (acos a)))

simplify93.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (33.0ms)

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

prune95.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- (acos a)) a))
0.3b	(/ (- (acos a)) a)

rewrite24.0ms

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:

9.0ms	(/ 1 (/ (- (acos a)) a))
5.0ms	(/ (- (acos a)) a)

series58.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (/ (- (acos a)) a))
36.0ms	(/ (- (acos a)) a)

simplify68.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (50.0ms)

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

prune389.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	222	10	232

Merged error: 0.0b

Counts

232 → 10

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (acos a))
0.3b	(* a (/ -1 (acos a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

3.0ms	(/ -1 (acos a))
6.0ms	(* a (/ -1 (acos a)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ -1 (acos a))
26.0ms	(* a (/ -1 (acos a)))

simplify34.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	184	309
1	929	282
2	5001	257

prune87.0ms

Filtered

65 candidates to 45 candidates (69.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	66	9	75

Merged error: 0.0b

Counts

75 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (* (- (acos a)) (/ 1 a)))
0.3b	(* (- (acos a)) (/ 1 a))

rewrite21.0ms

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:

7.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
8.0ms	(* (- (acos a)) (/ 1 a))

series54.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
32.0ms	(* (- (acos a)) (/ 1 a))

simplify37.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	351	507
1	1640	403
2	5001	379

prune78.0ms

Filtered

90 candidates to 45 candidates (50.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	90	9	99

Merged error: 0.0b

Counts

99 → 9

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

sample424.0ms

Algorithm

intervals

Results

151.0ms	8000×	body	80	valid
112.0ms	7952×	body	80	nan