Details

sample446.0ms

Algorithm

intervals

Results

248.0ms	463×	body	80	valid
27.0ms	463×	pre	80	true

simplify2.5s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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)

rewrite163.0ms

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:

31.0ms	(* m (- 1 m))
33.0ms	(/ (* m (- 1 m)) v)
95.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series185.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1 m))
57.0ms	(/ (* m (- 1 m)) v)
67.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.0s

Counts

86 → 86

Iterations

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

prune384.0ms

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

rewrite241.0ms

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:

19.0ms	(* m (- 1 m))
9.0ms	(/ v (* m (- 1 m)))
180.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
29.0ms	(/ 1 (/ v (* m (- 1 m))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* m (- 1 m))
51.0ms	(/ v (* m (- 1 m)))
52.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
64.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.7s

Counts

161 → 161

Iterations

Iter	Nodes
done	5004
2	1784
1	551
0	229

prune610.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))
7.6b	(/ (* (* m m) m) v)

rewrite226.0ms

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:

148.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
32.0ms	(* (* m m) m)
11.0ms	(/ m (/ v m))
30.0ms	(/ (* (* m m) m) v)

series143.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (- (/ m (/ v m)) m) (/ (* (* m m) m) v))
52.0ms	(* (* m m) m)
22.0ms	(/ m (/ v m))
36.0ms	(/ (* (* m m) m) v)

simplify2.1s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	2480
1	663
0	244

prune638.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.1b	(/ 1 (* m (- 1 m)))
0.1b	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
0.4b	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
143×	`add-sqr-sqrt`
120×	`*-un-lft-identity`
108×	`add-cube-cbrt`
102×	`add-exp-log`
62×	`div-exp`
34×	`add-cbrt-cube`
32×	`associate-*r/`
31×	`associate-/r/`
26×	`div-inv`
19×	`associate-l`
17×	`rec-exp` `flip3--` `1-exp` `prod-exp` `flip--`
16×	`associate-/l*`
15×	`cbrt-undiv`
11×	`pow1`
10×	`associate-/r*` `difference-of-squares`
9×	`associate-r`
5×	`cbrt-unprod`
4×	`difference-of-sqr-1` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l/` `-commutative` `pow-flip` `distribute-lft-out--` `unswap-sqr`
1×	`inv-pow` `associate-/l/`

Counts

4 → 279

Calls

4 calls:

24.0ms	(* m (- 1 m))
15.0ms	(/ 1 (* m (- 1 m)))
215.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
41.0ms	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- 1 m))
29.0ms	(/ 1 (* m (- 1 m)))
54.0ms	(* (- (/ (/ 1 v) (/ 1 (* m (- 1 m)))) 1) m)
52.0ms	(/ (/ 1 v) (/ 1 (* m (- 1 m))))

simplify2.5s

Counts

291 → 291

Iterations

Iter	Nodes
done	5000
2	2856
1	1188
0	427

prune927.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13708×	body	80	valid
627.0ms	13708×	pre	80	true