Details

sample132.0ms

Algorithm

intervals

Results

50.0ms	463×	pre	80	true
27.0ms	463×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	2382
4	369
3	90
2	35
1	19
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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)

rewrite907.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
51×	`times-frac`
35×	`add-cube-cbrt`
33×	`associate-r`
28×	`associate-l`
16×	`difference-of-squares`
15×	`associate-/l*`
12×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
7×	`pow1`
6×	`*-commutative` `distribute-lft-out--`
4×	`associate-*r/`
3×	`associate-/r*` `flip3--` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

3 → 139

Calls

3 calls:

24.0ms	(* m (- 1 m))
75.0ms	(/ (* m (- 1 m)) v)
803.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series173.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* m (- 1 m))
36.0ms	(/ (* m (- 1 m)) v)
64.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.5s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1516
1	540
0	211

prune584.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))
13.7b	(/ v (* m m))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
325×	`add-sqr-sqrt`
294×	`*-un-lft-identity`
280×	`add-cube-cbrt`
133×	`associate-/r*`
54×	`associate-r`
51×	`swap-sqr` `associate-l`
46×	`associate-/r/`
38×	`frac-sub`
23×	`add-cbrt-cube` `add-exp-log`
22×	`associate-/l*`
20×	`*-commutative`
19×	`flip3-+` `flip-+`
17×	`unswap-sqr`
16×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`clear-num` `frac-2neg`
6×	`distribute-rgt-out--` `distribute-rgt1-in`
5×	`distribute-lft-out--`
4×	`pow1` `insert-posit16` `difference-of-squares`
3×	`distribute-rgt-out`
2×	`diff-log` `prod-exp` `cbrt-unprod` `associate--r+`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out`

Counts

4 → 463

Calls

4 calls:

396.0ms	(- (/ m (/ v m)) (+ m (/ m (/ v (* m m)))))
36.0ms	(/ m (/ v (* m m)))
10.0ms	(/ m (/ v m))
24.0ms	(/ v (* m m))

series132.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ m (/ v m)) (+ m (/ m (/ v (* m m)))))
23.0ms	(/ m (/ v (* m m)))
33.0ms	(/ m (/ v m))
29.0ms	(/ v (* m m))

simplify1.9s

Counts

475 → 475

Iterations

Iter	Nodes
done	5002
1	2173
0	629

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) (+ m (* m (/ (* m m) v))))
0.1b	(* m (/ (* m m) v))
0.2b	(/ m (/ v m))
14.5b	(/ (* m m) v)

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

191×	`times-frac`
182×	`add-sqr-sqrt`
150×	`*-un-lft-identity`
138×	`add-cube-cbrt`
73×	`associate-r`
49×	`associate-/r*`
45×	`associate-/l*`
38×	`frac-sub`
29×	`associate-l`
25×	`swap-sqr`
23×	`add-cbrt-cube` `add-exp-log`
21×	`associate-*r/`
19×	`flip3-+` `flip-+`
15×	`unswap-sqr`
13×	`*-commutative`
12×	`associate-/r/`
10×	`div-inv`
9×	`add-log-exp`
7×	`cbrt-undiv` `clear-num` `div-exp`
6×	`pow1` `frac-2neg`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`un-div-inv`
2×	`distribute-rgt-out--` `diff-log` `distribute-rgt1-in` `distribute-lft-out` `associate--r+`
1×	`+-commutative` `sum-log` `sub-neg` `distribute-rgt-out` `flip3--` `pow-prod-down` `flip--`

Counts

4 → 319

Calls

4 calls:

416.0ms	(- (/ m (/ v m)) (+ m (* m (/ (* m m) v))))
105.0ms	(* m (/ (* m m) v))
19.0ms	(/ m (/ v m))
20.0ms	(/ (* m m) v)

series153.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ m (/ v m)) (+ m (* m (/ (* m m) v))))
46.0ms	(* m (/ (* m m) v))
35.0ms	(/ m (/ v m))
37.0ms	(/ (* m m) v)

simplify1.6s

Counts

331 → 331

Iterations

Iter	Nodes
done	5001
1	1767
0	503

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

103×	`associate-*l/`
101×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
81×	`frac-sub`
69×	`add-cube-cbrt`
65×	`associate-/r` `associate-/l`
34×	`times-frac`
30×	`associate-l`
23×	`clear-num`
21×	`frac-2neg`
20×	`distribute-lft-out--`
13×	`sub-div`
12×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
7×	`pow1` `unswap-sqr`
5×	`sub-neg` `*-commutative` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `div-inv`
3×	`prod-exp` `cbrt-unprod` `insert-posit16`
2×	`flip3--` `distribute-rgt-out--` `pow-prod-down` `associate-*r/` `flip--`
1×	`cbrt-undiv` `diff-log` `difference-of-sqr-1` `div-exp`

Counts

3 → 206

Calls

3 calls:

97.0ms	(- (/ m v) (* (/ m v) m))
1.0s	(* m (- (- (/ m v) (* (/ m v) m)) 1))
21.0ms	(* (/ m v) m)

series122.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (/ m v) (* (/ m v) m))
39.0ms	(* m (- (- (/ m v) (* (/ m v) m)) 1))
39.0ms	(* (/ m v) m)

simplify2.6s

Counts

215 → 215

Iterations

Iter	Nodes
done	5021
2	4838
1	1377
0	407

prune837.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes86.0ms

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	11
1	11
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13708×	body	80	valid
683.0ms	13708×	pre	80	true