Details

sample172.0ms

Algorithm

intervals

Results

49.0ms	426×	pre	80	true
31.0ms	426×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	469
3	119
2	41
1	19
0	8

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 182

Calls

4 calls:

25.0ms	(- (/ (* m (- 1 m)) v) 1)
31.0ms	(* m (- 1 m))
29.0ms	(/ (* m (- 1 m)) v)
81.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series183.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1 m)) v) 1)
67.0ms	(* m (- 1 m))
40.0ms	(/ (* m (- 1 m)) v)
45.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.4s

Counts

194 → 194

Iterations

Iter	Nodes
done	2000
3	2000
2	1816
1	668
0	269

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
21×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r`
6×	`pow1` `associate-/r` `times-frac` `associate-r/`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `associate-/l/`
3×	`flip3--` `associate-l` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `sub-neg` `frac-2neg` `div-inv` `associate-/l*` `distribute-lft-out--`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

22.0ms	(/ (* m (- 1 m)) v)
15.0ms	(/ (* m (- 1 m)) v)
0.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
26.0ms	(* (fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- 1 (sqrt m)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (* m (- 1 m)) v)
41.0ms	(/ (* m (- 1 m)) v)
117.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
120.0ms	(* (fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- 1 (sqrt m)))

simplify1.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	2139
3	2139
2	1447
1	467
0	214

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-in` `pow1` `distribute-rgt-neg-in` `sqrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `fma-udef` `associate-/l/`
1×	`clear-num` `neg-mul-1` `frac-2neg` `flip3--` `pow-prod-down` `-commutative` `distribute-rgt-neg-out` `div-inv` `flip--` `associate-/l` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

37.0ms	(/ (* m (- 1 m)) v)
0.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
0.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
19.0ms	(* (fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (sqrt m)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (* m (- 1 m)) v)
113.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
121.0ms	(fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1))
129.0ms	(* (fma (sqrt m) (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (sqrt m)))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	2005
3	2005
2	1190
1	366
0	148

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

81×	`sqrt-prod`
62×	`add-sqr-sqrt`
54×	`prod-diff`
52×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
10×	`pow1`
8×	`sqrt-pow1`
6×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

0.0ms	(fma (sqrt (sqrt m)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)))
33.0ms	(* (fma (sqrt (sqrt m)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))) (- 1 (sqrt (sqrt m))))
2.0ms	(sqrt (sqrt m))
2.0ms	(sqrt (sqrt m))

series1.6s

Counts

4 → 12

Calls

4 calls:

425.0ms	(fma (sqrt (sqrt m)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)))
806.0ms	(* (fma (sqrt (sqrt m)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1)) (fma (sqrt m) (fma (/ m v) (- 1 m) -1) (fma (/ m v) (- 1 m) -1))) (- 1 (sqrt (sqrt m))))
221.0ms	(sqrt (sqrt m))
176.0ms	(sqrt (sqrt m))

simplify1.6s

Counts

156 → 156

Iterations

Iter	Nodes
done	2001
2	2001
1	776
0	322

prune2.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
3	32
2	25
1	21
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	13618×	body	80	valid
655.0ms	13618×	pre	80	true