Details

sample211.0ms

Algorithm

intervals

Results

45.0ms	452×	body	80	valid
23.0ms	452×	pre	80	true

simplify1.3s

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite93.0ms

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

71.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
12.0ms	(- (/ m v) (fma m (/ m v) 1))
0.0ms	(fma m (/ m v) 1)

series126.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

52.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
51.0ms	(fma m (/ m v) 1)
22.0ms	(- (/ m v) (fma m (/ m v) 1))

simplify595.0ms

Counts: 324 → 199

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite122.0ms

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

81.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
22.0ms	(/ (* m (- 1 m)) v)
17.0ms	(* m (- 1 m))

series132.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

53.0ms	(* m (- 1 m))
45.0ms	(/ (* m (- 1 m)) v)
33.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify512.0ms

Counts: 136 → 110

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
152×	`add-sqr-sqrt`
134×	`*-un-lft-identity`
81×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`associate-/r*`
17×	`distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r/`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `difference-of-sqr-1` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 194

Calls

3 calls:

Slowest

196.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
10.0ms	(/ m (/ v (- 1 m)))
8.0ms	(/ v (- 1 m))

series115.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

42.0ms	(/ v (- 1 m))
38.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
35.0ms	(/ m (/ v (- 1 m)))

simplify443.0ms

Counts: 295 → 203

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt m) v)
0.2b	(* m (fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1))))
0.1b	(fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1)))
0.1b	(fma m (/ m v) 1)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
12×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l*`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

Slowest

6.0ms	(* m (fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1))))
5.0ms	(/ (sqrt m) v)
0.0ms	(fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1)))
0.0ms	(fma m (/ m v) 1)

series485.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1)))
159.0ms	(* m (fma (/ (sqrt m) 1) (/ (sqrt m) v) (- (fma m (/ m v) 1))))
120.0ms	(/ (sqrt m) v)
39.0ms	(fma m (/ m v) 1)

simplify557.0ms

Counts: 120 → 99

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s	13869×	body	80	valid
644.0ms	13869×	pre	80	true