Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	217×	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

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 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:

22.0ms

(/ a (neg (acos a)))

simplify92.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (33.0ms)

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

prune90.0ms

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

rewrite28.0ms

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 (/ (neg (acos a)) a))
7.0ms	(/ (neg (acos a)) a)

series60.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1 (/ (neg (acos a)) a))
33.0ms	(/ (neg (acos a)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	659	1893
1	2953	1699
2	5003	1507

prune217.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	221	11	232

Merged error: 0.0b

Counts

232 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 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))

series58.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (* (neg (acos a)) (/ 1 a)))
35.0ms	(* (neg (acos a)) (/ 1 a))

simplify39.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	351	507
1	1623	400
2	5001	379

prune101.0ms

Filtered

90 candidates to 47 candidates (52.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	90	11	101

Merged error: 0.0b

Counts

101 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (acos a))
0.4b	(/ (* -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 (46.0ms)

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

prune85.0ms

Filtered

104 candidates to 45 candidates (43.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	4	3	7
Picked	0	1	1
Done	1	2	3
Total	108	7	115

Merged error: 0b

Counts

115 → 7

regimes45.0ms

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

sample512.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
146.0ms	7974×	body	80	nan

Details

sample18.0ms

simplify3.0ms

prune2.0ms

localize7.0ms

rewrite6.0ms

series23.0ms

simplify92.0ms

prune90.0ms

localize5.0ms

rewrite28.0ms

series60.0ms

simplify70.0ms

prune217.0ms

localize6.0ms

rewrite19.0ms

series58.0ms

simplify39.0ms

prune101.0ms

localize7.0ms

rewrite16.0ms

series28.0ms

simplify54.0ms

prune85.0ms

regimes45.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample512.0ms

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