Details

sample128.0ms

Algorithm

intervals

Results

51.0ms	385×	body	80	valid
7.0ms	385×	pre	80	true

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	4477
6	1331
5	417
4	171
3	67
2	34
1	16
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 85

Calls

4 calls:

27.0ms	(* m (- 1.0 m))
30.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
26.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series239.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* m (- 1.0 m))
40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
54.0ms	(/ (* m (- 1.0 m)) v)
64.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1733
1	360
0	138

prune499.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
0.0b	(- (/ m (/ v m)) m)
0.2b	(/ m (/ v m))
1.7b	(/ (* m m) (/ v m))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
69×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
60×	`add-cube-cbrt`
26×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
8×	`div-inv` `add-log-exp`
4×	`pow1` `sub-neg` `associate--l+` `associate-/l*`
3×	`flip3--` `associate-/r/` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `diff-log` `prod-exp` `associate-*r/` `frac-sub` `cbrt-unprod`
1×	`distribute-rgt-out--` `distribute-lft-out--`

Counts

4 → 151

Calls

4 calls:

34.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
53.0ms	(- (/ m (/ v m)) m)
7.0ms	(/ m (/ v m))
22.0ms	(/ (* m m) (/ v m))

series160.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
32.0ms	(- (/ m (/ v m)) m)
35.0ms	(/ m (/ v m))
29.0ms	(/ (* m m) (/ v m))

simplify768.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
1	721
0	248

prune937.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0)
0.0b	(- (/ (* 1.0 m) v) (/ m (/ v m)))
0.1b	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
0.2b	(/ m (/ v m))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
63×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
48×	`add-cube-cbrt`
13×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `associate-l`
5×	`div-inv` `difference-of-squares`
4×	`diff-log`
3×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `associate-r` `flip--` `associate-/l*`
2×	`associate-*l/` `associate--l+`
1×	`associate--l-` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

375.0ms	(- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0)
50.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
926.0ms	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
10.0ms	(/ m (/ v m))

series185.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0)
57.0ms	(- (/ (* 1.0 m) v) (/ m (/ v m)))
58.0ms	(* (- (- (/ (* 1.0 m) v) (/ m (/ v m))) 1.0) m)
31.0ms	(/ m (/ v m))

simplify1.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	3251
1	593
0	233

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ m (/ v m))
0.3b	(/ m (sqrt (/ v m)))
0.3b	(/ m (sqrt (/ v m)))
0.3b	(* (/ m (sqrt (/ v m))) (/ m (sqrt (/ v m))))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

587×	`times-frac`
388×	`add-sqr-sqrt`
312×	`*-un-lft-identity` `add-cube-cbrt`
282×	`sqrt-prod`
59×	`swap-sqr`
53×	`associate-r` `associate-l`
45×	`associate-/r*`
31×	`div-inv`
25×	`add-cbrt-cube` `add-exp-log`
16×	`unswap-sqr`
11×	`pow1`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
7×	`associate-/r/`
6×	`sqrt-div`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 435

Calls

4 calls:

7.0ms	(/ m (/ v m))
14.0ms	(/ m (sqrt (/ v m)))
14.0ms	(/ m (sqrt (/ v m)))
119.0ms	(* (/ m (sqrt (/ v m))) (/ m (sqrt (/ v m))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ m (/ v m))
106.0ms	(/ m (sqrt (/ v m)))
103.0ms	(/ m (sqrt (/ v m)))
42.0ms	(* (/ m (sqrt (/ v m))) (/ m (sqrt (/ v m))))

simplify1.9s

Counts

447 → 447

Iterations

Iter	Nodes
done	5001
1	1671
0	492

prune3.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

767.0ms	13702×	body	80	valid
321.0ms	13702×	pre	80	true