Details

sample253.0ms

Algorithm

intervals

Results

105.0ms	442×	pre	80	true
59.0ms	442×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
9×	`associate-r` `add-cube-cbrt`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`associate-/r*` `times-frac` `flip3--` `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/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 77

Calls

3 calls:

43.0ms	(* m (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
150.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series144.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1 m))
44.0ms	(/ (* m (- 1 m)) v)
52.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4716
2	1044
1	336
0	129

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`associate-r`
14×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
8×	`pow1` `add-log-exp`
5×	`distribute-rgt-out--` `associate-*r/`
4×	`associate-*l/` `insert-posit16`
3×	`flip3--` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`
2×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `distribute-lft-out--` `sub-div`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 91

Calls

4 calls:

55.0ms	(- (* (- (/ m v) (* m (/ m v))) m) m)
20.0ms	(- (/ m v) (* m (/ m v)))
76.0ms	(* (- (/ m v) (* m (/ m v))) m)
24.0ms	(* m (/ m v))

series183.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* (- (/ m v) (* m (/ m v))) m) m)
36.0ms	(- (/ m v) (* m (/ m v)))
57.0ms	(* (- (/ m v) (* m (/ m v))) m)
39.0ms	(* m (/ m v))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1117
1	357
0	144

prune405.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ v (* m (- 1 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
48×	`times-frac`
40×	`*-un-lft-identity`
34×	`add-exp-log`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 149

Calls

4 calls:

39.0ms	(* m (- 1 m))
12.0ms	(/ v (* m (- 1 m)))
246.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
44.0ms	(/ 1 (/ v (* m (- 1 m))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* m (- 1 m))
32.0ms	(/ v (* m (- 1 m)))
59.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
59.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.7s

Counts

161 → 161

Iterations

Iter	Nodes
done	5004
2	1784
1	551
0	229

prune623.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))
9.1b	(/ (* (* m m) m) v)

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
54×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
23×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
9×	`add-log-exp`
6×	`cbrt-undiv` `pow-plus` `div-exp` `prod-exp` `pow-prod-up` `cbrt-unprod` `div-inv`
4×	`insert-posit16` `associate-/l*`
3×	`diff-log` `associate-r` `pow-prod-down` `distribute-lft-out--`
2×	`pow2` `clear-num` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `pow-sqr` `frac-sub` `flip--`
1×	`associate--l-` `associate-l` `pow3` `associate-/r/` `*-commutative` `difference-of-squares` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

316.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
19.0ms	(* (* m m) m)
13.0ms	(/ m (/ v m))
38.0ms	(/ (* (* m m) m) v)

series153.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
51.0ms	(* (* m m) m)
21.0ms	(/ m (/ v m))
35.0ms	(/ (* (* m m) m) v)

simplify2.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	2480
1	663
0	244

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	13687×	body	80	valid
464.0ms	13687×	pre	80	true