Details

sample140.0ms

Algorithm

intervals

Results

28.0ms	454×	body	80	valid
14.0ms	454×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
9	2834
8	1992
7	1401
6	1013
5	567
4	221
3	70
2	33
1	17
0	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
0.1b	(fma (/ m (/ v m)) m m)
0.2b	(/ m (/ v m))
0.2b	(/ m (/ v m))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
281×	`add-sqr-sqrt`
274×	`*-un-lft-identity`
272×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
26×	`associate-/r*` `div-inv`
14×	`add-cbrt-cube` `add-exp-log`
6×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--`

Counts

4 → 353

Calls

4 calls:

35.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
1.0ms	(fma (/ m (/ v m)) m m)
9.0ms	(/ m (/ v m))
13.0ms	(/ m (/ v m))

series165.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
45.0ms	(fma (/ m (/ v m)) m m)
41.0ms	(/ m (/ v m))
37.0ms	(/ m (/ v m))

simplify1.2s

Counts

365 → 365

Iterations

Iter	Nodes
2	2180
1	777
0	335

prune3.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 101

Calls

3 calls:

33.0ms	(* m (- 1 m))
31.0ms	(/ (* m (- 1 m)) v)
106.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series165.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* m (- 1 m))
41.0ms	(/ (* m (- 1 m)) v)
54.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.1s

Counts

110 → 110

Iterations

Iter	Nodes
3	3434
2	934
1	388
0	180

prune896.0ms

Pruning

8 alts after pruning (7 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)
6.8b	(/ (* (* m m) m) v)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
31×	`prod-diff`
25×	`pow1` `times-frac`
23×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
9×	`add-log-exp`
8×	`distribute-rgt-out--` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `associate-r` `pow-prod-up` `div-inv`
5×	`associate--l+`
4×	`expm1-log1p-u` `cbrt-undiv` `fma-neg` `div-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `diff-log` `unswap-sqr`
2×	`pow2` `sub-neg` `flip3--` `pow-sqr` `*-commutative` `frac-sub` `flip--`
1×	`associate--l-` `clear-num` `frac-2neg` `pow3` `associate-l/` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 150

Calls

4 calls:

99.0ms	(- (- (* (/ m v) m) m) (/ (* (* m m) m) v))
32.0ms	(* (* m m) m)
24.0ms	(* (/ m v) m)
27.0ms	(/ (* (* m m) m) v)

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (- (* (/ m v) m) m) (/ (* (* m m) m) v))
57.0ms	(* (* m m) m)
26.0ms	(* (/ m v) m)
29.0ms	(/ (* (* m m) m) v)

simplify9.2s

Counts

162 → 162

Iterations

Iter	Nodes
3	7632
2	1760
1	600
0	240

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ m (/ v m))
0.4b	(* (sqrt (/ m (/ v m))) (sqrt (/ m (/ v m))))
14.4b	(sqrt (/ m (/ v m)))
14.4b	(sqrt (/ m (/ v m)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

501×	`times-frac`
332×	`add-sqr-sqrt`
290×	`sqrt-prod`
260×	`*-un-lft-identity` `add-cube-cbrt`
49×	`swap-sqr`
47×	`associate-r` `associate-l`
29×	`div-inv`
21×	`pow1`
16×	`unswap-sqr`
13×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
7×	`associate-/r/`
6×	`rem-sqrt-square` `sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `pow-sqr` `associate-/l*`
1×	`pow2` `frac-times` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 383

Calls

4 calls:

6.0ms	(/ m (/ v m))
26.0ms	(* (sqrt (/ m (/ v m))) (sqrt (/ m (/ v m))))
3.0ms	(sqrt (/ m (/ v m)))
4.0ms	(sqrt (/ m (/ v m)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ m (/ v m))
49.0ms	(* (sqrt (/ m (/ v m))) (sqrt (/ m (/ v m))))
84.0ms	(sqrt (/ m (/ v m)))
56.0ms	(sqrt (/ m (/ v m)))

simplify930.0ms

Counts

395 → 395

Iterations

Iter	Nodes
2	2575
1	864
0	467

prune4.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes124.0ms

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
2	11
1	11
0	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	13804×	body	80	valid
587.0ms	13804×	pre	80	true