Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	250×	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)))

rewrite10.0ms

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:

8.0ms

(/ a (- (acos a)))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ a (- (acos a)))

simplify95.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (33.0ms)

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

prune97.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	9	61

Merged error: 0.0b

Counts

61 → 9

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

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

series29.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	188	323
1	933	296
2	5002	271

prune97.0ms

Filtered

69 candidates to 49 candidates (71.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

5.0ms	(/ (- (acos a)) a)
12.0ms	(/ 1 (/ (- (acos a)) a))

series61.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- (acos a)) a)
23.0ms	(/ 1 (/ (- (acos a)) a))

simplify71.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (53.0ms)

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

prune218.0ms

Filtered

227 candidates to 111 candidates (48.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	5	5
Picked	1	0	1
Done	1	1	2
Total	228	7	235

Merged error: 0b

Counts

235 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(* (- (acos a)) (/ 1 a))
7.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- (acos a)) (/ 1 a))
26.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	355	529
1	1634	425
2	5001	401

prune89.0ms

Filtered

94 candidates to 50 candidates (53.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Merged error: 0b

Counts

101 → 7

regimes49.0ms

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

sample513.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
143.0ms	7921×	body	80	nan