Details

sample36.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
10.0ms	231×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/r*`
4×	`neg-mul-1`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

11.0ms

(/ a (- (acos a)))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(/ a (- (acos a)))

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1207
2	438
1	174
0	97

prune258.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
140×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 223

Calls

2 calls:

11.0ms	(/ (- (acos a)) a)
16.0ms	(/ 1 (/ (- (acos a)) a))

series97.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- (acos a)) a)
44.0ms	(/ 1 (/ (- (acos a)) a))

simplify2.8s

Counts

229 → 229

Iterations

Iter	Nodes
done	5000
3	3675
2	1523
1	778
0	294

prune724.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`div-exp`
16×	`add-cbrt-cube` `prod-exp`
15×	`*-un-lft-identity`
14×	`times-frac` `add-cube-cbrt`
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-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `add-log-exp`
1×	`distribute-lft-neg-out` `clear-num` `associate-/r` `neg-mul-1` `frac-2neg` `-commutative` `inv-pow`

Counts

2 → 90

Calls

2 calls:

20.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
12.0ms	(* (- (acos a)) (/ 1 a))

series113.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
64.0ms	(* (- (acos a)) (/ 1 a))

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
3	2719
2	926
1	359
0	131

prune291.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
53×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
46×	`add-cube-cbrt`
34×	`associate-l`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
15×	`add-exp-log`
10×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`neg-mul-1`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 121

Calls

2 calls:

8.0ms	(/ 1 (- (acos a)))
18.0ms	(* (/ 1 (- (acos a))) a)

series49.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ 1 (- (acos a)))
38.0ms	(* (/ 1 (- (acos a))) a)

simplify2.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5081
4	3626
3	1403
2	737
1	338
0	146

prune408.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

605.0ms	8000×	body	80	valid
446.0ms	7614×	body	80	nan