Details

sample67.0ms

Algorithm

intervals

Results

10.0ms	73×	body	1280	valid
6.0ms	164×	body	80	valid
6.0ms	54×	body	640	valid
2.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	2159
6	787
5	365
4	174
3	79
2	47
1	21
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ 2 x) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

14.0ms

(* (+ 2 x) x)

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* (+ 2 x) x)

simplify2.6s

Counts

27 → 27

Iterations

Iter	Nodes
4	5284
3	1187
2	363
1	116
0	45

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 8 x (* (* x x) (* x x)))
0.0b	(- (* x x) (* 2 x))
0.2b	(* (* x x) (* x x))
9.6b	(/ (fma 8 x (* (* x x) (* x x))) (+ (* 2 2) (- (* x x) (* 2 x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus` `add-cbrt-cube` `add-exp-log`
13×	`pow2`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `swap-sqr` `div-exp` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip-+` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma 8 x (* (* x x) (* x x)))
7.0ms	(- (* x x) (* 2 x))
24.0ms	(* (* x x) (* x x))
21.0ms	(/ (fma 8 x (* (* x x) (* x x))) (+ (* 2 2) (- (* x x) (* 2 x))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma 8 x (* (* x x) (* x x)))
57.0ms	(- (* x x) (* 2 x))
33.0ms	(* (* x x) (* x x))
149.0ms	(/ (fma 8 x (* (* x x) (* x x))) (+ (* 2 2) (- (* x x) (* 2 x))))

simplify7.7s

Counts

139 → 139

Iterations

Iter	Nodes
3	10075
2	1519
1	384
0	146

prune695.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 8 (* (* x x) (* x x)))
0.2b	(* (* x x) (* x x))
0.2b	(/ 1 (/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x)))))
9.6b	(/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`pow-prod-up`
29×	`add-exp-log`
23×	`add-cbrt-cube` `pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`associate-/r*`
13×	`pow2`
8×	`div-exp` `prod-exp` `cbrt-unprod`
6×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `fma-udef` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 186

Calls

4 calls:

0.0ms	(fma x 8 (* (* x x) (* x x)))
21.0ms	(* (* x x) (* x x))
6.0ms	(/ 1 (/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x)))))
4.0ms	(/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma x 8 (* (* x x) (* x x)))
33.0ms	(* (* x x) (* x x))
142.0ms	(/ 1 (/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x)))))
46.0ms	(/ (fma x (- x 2) 4) (fma x 8 (* (* x x) (* x x))))

simplify1.3s

Counts

198 → 198

Iterations

Iter	Nodes
3	4701
2	1324
1	517
0	226

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

412.0ms	1604×	body	640	valid
358.0ms	2302×	body	1280	valid
186.0ms	5529×	body	80	valid
84.0ms	824×	body	320	valid
63.0ms	398×	body	160	valid