Details

sample162.0ms

Algorithm

intervals

Results

25.0ms	407×	body	80	valid
13.0ms	407×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2003
4	362
3	92
2	35
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1 m)) v) 1)
0.0b	(* m (- 1 m))
0.1b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
23.0ms	(* m (- 1 m))
25.0ms	(/ (* m (- 1 m)) v)
96.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series210.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1 m)) v) 1)
78.0ms	(* m (- 1 m))
61.0ms	(/ (* m (- 1 m)) v)
40.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.3s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
3	4831
2	1306
1	539
0	227

prune546.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
0.1b	(* (* m m) m)
0.2b	(/ m (/ v m))
8.3b	(/ (* (* m m) m) v)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

324×	`times-frac`
297×	`add-sqr-sqrt`
251×	`*-un-lft-identity`
222×	`add-cube-cbrt`
188×	`prod-diff`
134×	`associate--l+`
26×	`div-inv`
25×	`difference-of-squares`
23×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
12×	`associate-/r/`
11×	`distribute-lft-out--`
9×	`add-log-exp`
8×	`distribute-rgt-out--` `fma-neg`
6×	`cbrt-undiv` `pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`diff-log` `associate-r` `pow-prod-down`
2×	`pow2` `clear-num` `sub-neg` `frac-2neg` `flip3--` `pow-sqr` `frac-sub` `flip--`
1×	`associate--l-` `associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 350

Calls

4 calls:

133.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
17.0ms	(* (* m m) m)
6.0ms	(/ m (/ v m))
33.0ms	(/ (* (* m m) m) v)

series122.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
41.0ms	(* (* m m) m)
20.0ms	(/ m (/ v m))
30.0ms	(/ (* (* m m) m) v)

simplify2.4s

Counts

362 → 362

Iterations

Iter	Nodes
done	5003
2	3093
1	926
0	348

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (- (/ m (/ v m)) m) (/ (pow m 3) v))
0.2b	(/ m (/ v m))
8.3b	(/ (pow m 3) v)

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

1012×	`add-sqr-sqrt`
991×	`times-frac`
752×	`*-un-lft-identity`
621×	`add-cube-cbrt`
584×	`prod-diff`
134×	`associate--l+`
131×	`difference-of-squares`
85×	`unpow-prod-down` `cube-prod`
52×	`fma-neg`
50×	`associate-/r/`
45×	`distribute-lft-out--`
42×	`distribute-rgt-out--` `div-inv`
29×	`sqr-pow`
28×	`cube-mult` `unpow3`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
6×	`div-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`clear-num` `frac-2neg` `frac-sub`
1×	`associate--l-` `pow-to-exp` `pow-exp`

Counts

4 → 825

Calls

4 calls:

33.0ms	(- (/ m (/ v m)) m)
153.0ms	(- (- (/ m (/ v m)) m) (/ (pow m 3) v))
7.0ms	(/ m (/ v m))
7.0ms	(/ (pow m 3) v)

series147.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ m (/ v m)) m)
46.0ms	(- (- (/ m (/ v m)) m) (/ (pow m 3) v))
37.0ms	(/ m (/ v m))
38.0ms	(/ (pow m 3) v)

simplify1.9s

Counts

837 → 837

Iterations

Iter	Nodes
done	5000
1	1852
0	780

prune4.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ m (/ v m)) m) (/ m (/ v (* m m))))
0.1b	(/ m (/ v (* m m)))
0.2b	(/ m (/ v m))
11.0b	(/ v (* m m))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

633×	`times-frac`
603×	`add-sqr-sqrt`
439×	`*-un-lft-identity`
352×	`add-cube-cbrt`
340×	`prod-diff`
134×	`associate--l+`
84×	`difference-of-squares`
56×	`div-inv`
41×	`associate-/r/`
31×	`distribute-lft-out--`
28×	`distribute-rgt-out--`
23×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*` `add-log-exp`
8×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `diff-log`
2×	`sub-neg` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `flip--`
1×	`associate--l-`

Counts

4 → 523

Calls

4 calls:

199.0ms	(- (- (/ m (/ v m)) m) (/ m (/ v (* m m))))
16.0ms	(/ m (/ v (* m m)))
6.0ms	(/ m (/ v m))
7.0ms	(/ v (* m m))

series111.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (- (/ m (/ v m)) m) (/ m (/ v (* m m))))
23.0ms	(/ m (/ v (* m m)))
27.0ms	(/ m (/ v m))
32.0ms	(/ v (* m m))

simplify2.3s

Counts

535 → 535

Iterations

Iter	Nodes
done	5000
1	1518
0	582

prune3.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes90.0ms

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	9
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13528×	body	80	valid
630.0ms	13528×	pre	80	true