Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	232×	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 (neg (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 (neg (acos a)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ a (neg (acos a)))

simplify94.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	164	371
1	483	359
2	1375	359
3	3633	358
4	5001	358

prune94.0ms

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

rewrite25.0ms

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	(/ (neg (acos a)) a)
9.0ms	(/ 1 (/ (neg (acos a)) a))

series60.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (neg (acos a)) a)
27.0ms	(/ 1 (/ (neg (acos a)) a))

simplify72.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	659	1893
1	2953	1699
2	5001	1507

prune221.0ms

Filtered

223 candidates to 105 candidates (47.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	217	6	223
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	221	12	233

Merged error: 0.0b

Counts

233 → 12

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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))

series28.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (acos a))
23.0ms	(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	475	613
1	2489	473
2	5001	428

prune97.0ms

Filtered

104 candidates to 45 candidates (43.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	5	4	9
Picked	0	1	1
Done	1	1	2
Total	109	7	116

Merged error: 0b

Counts

116 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (* (neg (acos a)) (/ 1 a)))
0.3b	(* (neg (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×	`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 (* (neg (acos a)) (/ 1 a)))
9.0ms	(* (neg (acos a)) (/ 1 a))

series59.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (* (neg (acos a)) (/ 1 a)))
37.0ms	(* (neg (acos a)) (/ 1 a))

simplify40.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	351	504
1	1643	400
2	5001	379

prune85.0ms

Filtered

90 candidates to 48 candidates (53.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	90	7	97

Merged error: 0b

Counts

97 → 7

regimes48.0ms

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

sample557.0ms

Algorithm

intervals

Results

210.0ms	8000×	body	80	valid
155.0ms	8047×	body	80	nan

Details

sample20.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series23.0ms

simplify94.0ms

prune94.0ms

localize5.0ms

rewrite25.0ms

series60.0ms

simplify72.0ms

prune221.0ms

localize6.0ms

rewrite16.0ms

series28.0ms

simplify54.0ms

prune97.0ms

localize6.0ms

rewrite19.0ms

series59.0ms

simplify40.0ms

prune85.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample557.0ms

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