Details

sample164.0ms

Algorithm

intervals

Results

66.0ms	437×	body	80	valid
16.0ms	437×	pre	80	true

simplify992.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	2005
4	369
3	90
2	35
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

16.0ms	(* m (- 1 m))
16.0ms	(- (/ (* m (- 1 m)) v) 1)
14.0ms	(/ (* m (- 1 m)) v)
55.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series149.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1 m))
18.0ms	(- (/ (* m (- 1 m)) v) 1)
43.0ms	(/ (* m (- 1 m)) v)
41.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	2000
3	2000
2	1111
1	370
0	143

prune486.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
174×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`difference-of-squares`
30×	`associate-/r*`
18×	`distribute-lft-out--`
13×	`add-cbrt-cube` `associate-l` `add-exp-log`
11×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`pow1` `difference-of-sqr-1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 211

Calls

4 calls:

17.0ms	(/ v (- 1 m))
53.0ms	(- (/ m (/ v (- 1 m))) 1)
16.0ms	(/ m (/ v (- 1 m)))
166.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

series131.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ v (- 1 m))
17.0ms	(- (/ m (/ v (- 1 m))) 1)
47.0ms	(/ m (/ v (- 1 m)))
39.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

simplify1.1s

Counts

223 → 223

Iterations

Iter	Nodes
done	2001
2	2001
1	808
0	320

prune776.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1 m) v)) 1)
0.0b	(/ (- 1 m) v)
0.2b	(* (- (* m (/ (- 1 m) v)) 1) m)
0.3b	(* m (/ (- 1 m) v))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
28×	`add-cube-cbrt`
25×	`associate-r`
14×	`difference-of-squares`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
7×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r*` `flip3--` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/`

Counts

4 → 119

Calls

4 calls:

11.0ms	(- (* m (/ (- 1 m) v)) 1)
12.0ms	(/ (- 1 m) v)
70.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
32.0ms	(* m (/ (- 1 m) v))

series175.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* m (/ (- 1 m) v)) 1)
49.0ms	(/ (- 1 m) v)
37.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
58.0ms	(* m (/ (- 1 m) v))

simplify1.2s

Counts

131 → 131

Iterations

Iter	Nodes
done	2000
3	2000
2	1211
1	431
0	171

prune537.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ v (* m (- 1 m)))) 1)
0.0b	(/ v (* m (- 1 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
54×	`times-frac`
44×	`*-un-lft-identity`
32×	`add-exp-log`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp` `associate-l`
12×	`difference-of-squares`
11×	`associate-/r/`
10×	`associate-/r` `associate-r/`
8×	`div-inv`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--`
6×	`difference-of-sqr-1` `associate-/l*` `add-log-exp`
5×	`prod-exp`
4×	`insert-posit16` `distribute-lft-out--`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

63.0ms	(- (/ 1 (/ v (* m (- 1 m)))) 1)
20.0ms	(/ v (* m (- 1 m)))
156.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
25.0ms	(/ 1 (/ v (* m (- 1 m))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ 1 (/ v (* m (- 1 m)))) 1)
37.0ms	(/ v (* m (- 1 m)))
53.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
56.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.3s

Counts

157 → 157

Iterations

Iter	Nodes
done	2001
3	2001
2	1693
1	541
0	224

prune554.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes108.0ms

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	12
1	12
0	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	13589×	body	80	valid
1.1s	13589×	pre	80	true