Details

sample46.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
12.0ms	231×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

15.0ms

(/ a (- (acos a)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/ a (- (acos a)))

simplify1.5s

Counts

61 → 61

Iterations

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

prune254.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
146×	`*-un-lft-identity`
144×	`add-sqr-sqrt` `add-cube-cbrt`
52×	`distribute-rgt-neg-in`
51×	`distribute-lft-neg-in`
40×	`associate-/r*`
25×	`associate-/l*`
17×	`neg-mul-1`
16×	`associate-/r/`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `clear-num`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `pow-flip` `inv-pow`

Counts

2 → 241

Calls

2 calls:

12.0ms	(/ (- (acos a)) a)
21.0ms	(/ 1 (/ (- (acos a)) a))

series125.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- (acos a)) a)
57.0ms	(/ 1 (/ (- (acos a)) a))

simplify3.1s

Counts

247 → 247

Iterations

Iter	Nodes
done	5063
3	4268
2	2068
1	795
0	305

prune703.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

148×	`times-frac`
127×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
92×	`add-cube-cbrt`
65×	`associate-r`
50×	`associate-l`
46×	`add-exp-log`
37×	`associate-/r*`
18×	`div-exp` `associate-*r/`
16×	`add-cbrt-cube` `prod-exp`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `unswap-sqr`
12×	`associate-/r/`
11×	`associate-/l*`
9×	`rec-exp` `1-exp`
7×	`pow1`
6×	`un-div-inv` `div-inv`
5×	`cbrt-undiv` `clear-num` `neg-mul-1` `*-commutative`
4×	`cbrt-unprod`
3×	`frac-2neg`
2×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `pow-flip` `add-log-exp`
1×	`distribute-lft-neg-out` `inv-pow`

Counts

2 → 230

Calls

2 calls:

66.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
47.0ms	(* (- (acos a)) (/ 1 a))

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
44.0ms	(* (- (acos a)) (/ 1 a))

simplify3.6s

Counts

236 → 236

Iterations

Iter	Nodes
done	5000
3	4755
2	1592
1	776
0	282

prune586.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
15×	`add-exp-log`
13×	`associate-l`
10×	`associate-r`
9×	`add-cbrt-cube` `associate-*l/`
6×	`associate-/r` `associate-/l`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`neg-mul-1` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `pow-flip` `inv-pow`

Counts

2 → 88

Calls

2 calls:

7.0ms	(/ 1 (acos a))
40.0ms	(* (/ 1 (acos a)) (- a))

series36.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (acos a))
31.0ms	(* (/ 1 (acos a)) (- a))

simplify3.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
3	2298
2	876
1	305
0	112

prune255.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

565.0ms	8000×	body	80	valid
407.0ms	7614×	body	80	nan