Details

sample205.0ms

Algorithm

intervals

Results

95.0ms	466×	body	80	valid
23.0ms	466×	pre	80	true

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
5	2000
4	362
3	92
2	35
1	19
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 101

Calls

3 calls:

34.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
103.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series214.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* m (- 1 m))
61.0ms	(/ (* m (- 1 m)) v)
62.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	2004
3	2004
2	1090
1	428
0	180

prune423.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-cube-cbrt`
10×	`associate-l`
9×	`difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `flip3--` `fma-neg` `associate-r*` `prod-diff` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`difference-of-sqr-1` `associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

5.0ms	(- m (* m m))
12.0ms	(/ (- m (* m m)) v)
140.0ms	(* (- (/ (- m (* m m)) v) 1) m)

series161.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(- m (* m m))
47.0ms	(/ (- m (* m m)) v)
39.0ms	(* (- (/ (- m (* m m)) v) 1) m)

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	2011
3	2011
2	1199
1	369
0	152

prune448.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))
8.1b	(/ (* (* m m) m) v)

rewrite203.0ms

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:

135.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
18.0ms	(* (* m m) m)
9.0ms	(/ m (/ v m))
30.0ms	(/ (* (* m m) m) v)

series147.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
51.0ms	(* (* m m) m)
27.0ms	(/ m (/ v m))
41.0ms	(/ (* (* m m) m) v)

simplify1.3s

Counts

362 → 362

Iterations

Iter	Nodes
done	2003
2	2003
1	926
0	348

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

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))
8.1b	(/ (pow m 3) v)

rewrite230.0ms

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:

20.0ms	(- (/ m (/ v m)) m)
162.0ms	(- (- (/ m (/ v m)) m) (/ (pow m 3) v))
12.0ms	(/ m (/ v m))
13.0ms	(/ (pow m 3) v)

series176.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ m (/ v m)) m)
48.0ms	(- (- (/ m (/ v m)) m) (/ (pow m 3) v))
34.0ms	(/ m (/ v m))
51.0ms	(/ (pow m 3) v)

simplify1.9s

Counts

837 → 837

Iterations

Iter	Nodes
done	2000
2	2000
1	1852
0	780

prune5.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.1b 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

sample2.3s

Algorithm

intervals

Results

1.3s	13755×	body	80	valid
649.0ms	13755×	pre	80	true