Details

sample194.0ms

Algorithm

intervals

Results

75.0ms	453×	pre	80	true
47.0ms	453×	body	80	valid

simplify3.6s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

3 → 190

Calls

3 calls:

Slowest

45.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
32.0ms	(- (/ m v) (fma m (/ m v) 1))
0.0ms	(fma m (/ m v) 1)

series127.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

44.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
42.0ms	(- (/ m v) (fma m (/ m v) 1))
40.0ms	(fma m (/ m v) 1)

simplify1.3s

Counts: 199 → 199

prune2.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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:

Slowest

27.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
12.0ms	(/ m (/ v m))
11.0ms	(/ m (/ v m))
0.0ms	(fma (/ m (/ v m)) m m)

series172.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(- (/ m (/ v m)) (fma (/ m (/ v m)) m m))
53.0ms	(fma (/ m (/ v m)) m m)
34.0ms	(/ m (/ v m))
26.0ms	(/ m (/ v m))

simplify1.1s

Counts: 365 → 365

prune4.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

352×	`times-frac`
252×	`add-sqr-sqrt`
240×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
22×	`div-inv`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-r*`
6×	`pow1` `add-log-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `associate-/l*` `difference-of-squares`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `flip--` `associate--r+` `distribute-lft-out--`

Counts

4 → 315

Calls

4 calls:

Slowest

41.0ms	(- (/ m (/ v m)) (fma (* m (/ m v)) m m))
9.0ms	(* m (/ m v))
6.0ms	(/ m (/ v m))
0.0ms	(fma (* m (/ m v)) m m)

series146.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(fma (* m (/ m v)) m m)
38.0ms	(- (/ m (/ v m)) (fma (* m (/ m v)) m m))
28.0ms	(* m (/ m v))
21.0ms	(/ m (/ v m))

simplify1.1s

Counts: 327 → 327

prune3.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (/ v m) m))
0.2b	(* m (/ m v))
0.2b	(/ (/ v m) m)
0.1b	(fma (* m (/ m v)) m m)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

478×	`times-frac`
243×	`add-sqr-sqrt`
238×	`*-un-lft-identity` `add-cube-cbrt`
46×	`associate-/r*`
35×	`add-exp-log`
23×	`add-cbrt-cube` `div-inv`
19×	`div-exp`
16×	`associate-/l*`
13×	`associate-r`
10×	`cbrt-undiv`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-l`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 322

Calls

4 calls:

Slowest

23.0ms	(* m (/ m v))
17.0ms	(/ 1 (/ (/ v m) m))
16.0ms	(/ (/ v m) m)
0.0ms	(fma (* m (/ m v)) m m)

series139.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

45.0ms	(fma (* m (/ m v)) m m)
45.0ms	(/ (/ v m) m)
24.0ms	(* m (/ m v))
24.0ms	(/ 1 (/ (/ v m) m))

simplify1.4s

Counts: 334 → 334

prune3.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	13728×	body	80	valid
519.0ms	13728×	pre	80	true