Details

sample49.0ms

Algorithm

intervals

Results

20.0ms	52×	body	640	valid
9.0ms	133×	body	80	valid
8.0ms	42×	body	320	valid
4.0ms	29×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
4.5b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite95.0ms

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:

17.0ms	(/ 1 (+ x 1))
66.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series47.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ 1 (+ x 1))
29.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify5.3s

Counts

333 → 333

Iterations

Iter	Nodes
3	3474
2	1490
1	797
0	358

prune2.7s

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))
3.4b	(- (- x 1) x)

rewrite114.0ms

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:

72.0ms	(/ (- (- x 1) x) (fma x x x))
39.0ms	(- (- x 1) x)

series37.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- (- x 1) x) (fma x x x))
10.0ms	(- (- x 1) x)

simplify10.3s

Counts

110 → 110

Iterations

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

prune863.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ -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:

5.0ms

(/ -1 (fma x x x))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ -1 (fma x x x))

simplify2.8s

Counts

33 → 33

Iterations

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

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
14.8b	(cbrt (fma x x x))
14.8b	(cbrt (fma x x x))
14.8b	(cbrt (fma x x x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series225.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ -1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
60.0ms	(cbrt (fma x x x))
45.0ms	(cbrt (fma x x x))
51.0ms	(cbrt (fma x x x))

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
4	3634
3	1332
2	557
1	234
0	103

prune720.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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

sample1.7s

Algorithm

intervals

Results

616.0ms	4208×	body	80	valid
578.0ms	1935×	body	640	valid
302.0ms	1240×	body	320	valid
74.0ms	619×	body	160	valid