Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	222×	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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 57

Calls

1 calls:

5.0ms

(/ a (- (acos a)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ a (- (acos a)))

simplify114.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	166	384
1	493	372
2	1442	367
3	3704	366
4	5002	366

prune105.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	10	61

Merged error: 0.0b

Counts

61 → 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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `associate-/r/` `inv-pow`

Counts

2 → 221

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (/ (- (acos a)) a))
39.0ms	(/ (- (acos a)) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	663	1934
1	3064	1717
2	5001	1525

prune264.0ms

Filtered

227 candidates to 110 candidates (48.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	219	8	227
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	223	14	237

Merged error: 0.0b

Counts

237 → 14

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 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×	`expm1-log1p-u` `pow-flip` `associate-*r/` `pow-prod-down` `associate-/r/` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

2 → 88

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	355	529
1	1644	425
2	5001	401

prune116.0ms

Filtered

94 candidates to 48 candidates (51.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	9	11
Picked	0	1	1
Done	1	1	2
Total	95	13	108

Merged error: 0.0b

Counts

108 → 13

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

1207×	`times-frac`
550×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
138×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
51×	`div-inv`
46×	`add-exp-log` `neg-mul-1`
37×	`associate-/l*`
34×	`div-exp`
23×	`associate-/r*`
16×	`add-cbrt-cube`
9×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`pow1`
2×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 584

Calls

2 calls:

6.0ms	(/ 1 (- (acos a)))
21.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

series29.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (- (acos a)))
24.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

simplify121.0ms

Algorithm

egg-herbie

Counts

590 → 590

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	2521	7412
1	5002	6293

prune580.0ms

Filtered

590 candidates to 230 candidates (39.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	587	3	590
Fresh	8	2	10
Picked	0	1	1
Done	0	2	2
Total	595	8	603

Merged error: 0b

Counts

603 → 8

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

sample559.0ms

Algorithm

intervals

Results

210.0ms	8000×	body	80	valid
159.0ms	8036×	body	80	nan