Details

sample214.0ms

Algorithm

intervals

Results

54.0ms	446×	body	80	valid
24.0ms	446×	pre	80	true

simplify3.5s

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))

rewrite100.0ms

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

65.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
25.0ms	(- (/ m v) (fma m (/ m v) 1))
1.0ms	(fma m (/ m v) 1)

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
50.0ms	(fma m (/ m v) 1)
22.0ms	(- (/ m v) (fma m (/ m v) 1))

simplify1.8s

Counts: 199 → 199

prune2.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

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:

Slowest

100.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
24.0ms	(/ (* m (- 1 m)) v)
15.0ms	(* m (- 1 m))

series136.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

54.0ms	(* m (- 1 m))
51.0ms	(/ (* m (- 1 m)) v)
31.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.9s

Counts: 110 → 110

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

423×	`times-frac`
302×	`add-sqr-sqrt`
281×	`*-un-lft-identity`
275×	`add-cube-cbrt`
140×	`prod-diff`
134×	`associate--l+`
44×	`associate-l`
26×	`associate-/r*` `div-inv`
23×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
8×	`fma-neg` `associate-/r/`
6×	`pow1` `associate-/l*` `difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`diff-log` `associate-r` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `distribute-lft-out--`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 384

Calls

4 calls:

Slowest

128.0ms	(- (- (/ m (/ v m)) m) (* (/ m (/ v m)) m))
13.0ms	(* (/ m (/ v m)) m)
6.0ms	(/ m (/ v m))
5.0ms	(/ m (/ v m))

series109.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

30.0ms	(/ m (/ v m))
28.0ms	(- (- (/ m (/ v m)) m) (* (/ m (/ v m)) m))
26.0ms	(/ m (/ v m))
24.0ms	(* (/ m (/ v m)) m)

simplify1.2s

Counts: 396 → 396

prune4.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

10.8b	(/ v (* m m))
0.2b	(fma (/ m v) m (- (* m 1)))
0.2b	(/ m (/ v (* m m)))
0.0b	(+ (fma (/ m v) m (- (* m 1))) (- (+ (- m) m) (/ m (/ v (* m m)))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

452×	`*-un-lft-identity`
426×	`times-frac`
341×	`associate-+r+`
338×	`prod-diff`
335×	`add-sqr-sqrt` `add-cube-cbrt`
110×	`distribute-lft-out`
104×	`distribute-lft-neg-in` `distribute-rgt-out`
79×	`distribute-rgt-neg-in`
58×	`div-inv`
52×	`neg-mul-1` `distribute-lft1-in`
18×	`add-cbrt-cube` `add-exp-log`
17×	`add-log-exp`
14×	`associate-/r/`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`sum-log` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `diff-log` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r-` `sub-neg` `flip3-+` `neg-log` `associate--l+` `flip-+`

Counts

4 → 453

Calls

4 calls:

Slowest

114.0ms	(+ (fma (/ m v) m (- (* m 1))) (- (+ (- m) m) (/ m (/ v (* m m)))))
18.0ms	(/ m (/ v (* m m)))
13.0ms	(/ v (* m m))
0.0ms	(fma (/ m v) m (- (* m 1)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

46.0ms	(+ (fma (/ m v) m (- (* m 1))) (- (+ (- m) m) (/ m (/ v (* m m)))))
42.0ms	(fma (/ m v) m (- (* m 1)))
33.0ms	(/ m (/ v (* m m)))
25.0ms	(/ v (* m m))

simplify1.6s

Counts: 465 → 465

prune6.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	13770×	body	80	valid
531.0ms	13770×	pre	80	true