Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	250×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

7.0ms

(/ a (- (acos a)))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ a (- (acos a)))

simplify87.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (31.0ms)

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

prune106.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

8.0ms	(/ (- (acos a)) a)
16.0ms	(/ 1 (/ (- (acos a)) a))

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- (acos a)) a)
25.0ms	(/ 1 (/ (- (acos a)) a))

simplify65.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (49.0ms)

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

prune263.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

22.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
20.0ms	(* (- (acos a)) (/ 1 a))

series53.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
32.0ms	(* (- (acos a)) (/ 1 a))

simplify40.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (34.0ms)

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

prune128.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.0b	(sqrt (acos a))
1.0b	(sqrt (acos a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(sqrt (acos a))
2.0ms	(sqrt (acos a))

series357.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt a)
167.0ms	(cbrt a)
9.0ms	(sqrt (acos a))
12.0ms	(sqrt (acos a))

simplify127.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	61	192
1	104	184
2	218	180
3	725	180
4	4173	180
5	5001	180

prune163.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

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

sample495.0ms

Algorithm

intervals

Results

161.0ms	8000×	body	80	valid
101.0ms	8045×	body	80	nan