Details

sample54.0ms

Algorithm

intervals

Results

20.0ms	58×	body	640	valid
11.0ms	137×	body	80	valid
10.0ms	38×	body	320	valid
4.0ms	23×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.8b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

370×	`*-un-lft-identity`
366×	`times-frac`
277×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
37×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 327

Calls

2 calls:

9.0ms	(/ 1 (+ x 1))
74.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series42.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 1 (+ x 1))
27.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify5.4s

Counts

333 → 333

Iterations

Iter	Nodes
3	3474
2	1490
1	797
0	358

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (- x 1) x) (fma x x x))
2.2b	(- (- x 1) x)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
30×	`prod-diff` `add-cube-cbrt`
19×	`distribute-lft-out--`
18×	`times-frac`
13×	`difference-of-squares`
11×	`associate--l+`
7×	`fma-neg` `add-log-exp`
6×	`associate-/l*`
4×	`add-cbrt-cube` `difference-of-sqr-1` `add-exp-log`
3×	`associate-/r*` `diff-log`
2×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

2 → 104

Calls

2 calls:

79.0ms	(/ (- (- x 1) x) (fma x x x))
29.0ms	(- (- x 1) x)

series37.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- (- x 1) x) (fma x x x))
7.0ms	(- (- x 1) x)

simplify10.2s

Counts

110 → 110

Iterations

Iter	Nodes
4	6030
3	1820
2	688
1	329
0	155

prune435.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ -1 (fma x x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

4.0ms

(/ -1 (fma x x x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ -1 (fma x x x))

simplify2.9s

Counts

33 → 33

Iterations

Iter	Nodes
5	5167
4	1553
3	537
2	251
1	122
0	67

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
15.2b	(cbrt (/ -1 (fma x x x)))
15.2b	(cbrt (/ -1 (fma x x x)))
15.2b	(cbrt (/ -1 (fma x x x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

11.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
1.0ms	(cbrt (/ -1 (fma x x x)))
2.0ms	(cbrt (/ -1 (fma x x x)))
3.0ms	(cbrt (/ -1 (fma x x x)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (/ -1 (fma x x x))) (cbrt (/ -1 (fma x x x))))
84.0ms	(cbrt (/ -1 (fma x x x)))
71.0ms	(cbrt (/ -1 (fma x x x)))
99.0ms	(cbrt (/ -1 (fma x x x)))

simplify2.5s

Counts

168 → 168

Iterations

Iter	Nodes
3	3029
2	1032
1	390
0	195

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	1899×	body	640	valid
346.0ms	4237×	body	80	valid
310.0ms	1234×	body	320	valid
115.0ms	632×	body	160	valid