Details

sample52.0ms

Algorithm

intervals

Results

21.0ms	68×	body	640	valid
12.0ms	139×	body	80	valid
8.0ms	36×	body	320	valid
2.0ms	13×	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: 12.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.1b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite113.0ms

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:

14.0ms	(/ 1 (+ x 1))
92.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 1 (+ x 1))
28.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify5.1s

Counts

333 → 333

Iterations

Iter	Nodes
3	3474
2	1490
1	797
0	358

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (- x 1) x) (fma x x x))
1.7b	(- (- x 1) x)

rewrite129.0ms

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:

83.0ms	(/ (- (- x 1) x) (fma x x x))
43.0ms	(- (- x 1) x)

series36.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- (- x 1) x) (fma x x x))
7.0ms	(- (- x 1) x)

simplify10.6s

Counts

110 → 110

Iterations

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

prune869.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- -1 x) x)
0.1b	(/ 1 (* (- -1 x) x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
8×	`*-un-lft-identity`
7×	`pow1`
6×	`add-cube-cbrt`
5×	`associate-l`
4×	`div-exp` `associate-*l/` `prod-exp`
3×	`times-frac` `associate-r` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `pow-flip` `flip--` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

25.0ms	(* (- -1 x) x)
34.0ms	(/ 1 (* (- -1 x) x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (- -1 x) x)
26.0ms	(/ 1 (* (- -1 x) x))

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
3	2423
2	768
1	216
0	97

prune411.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- -1 x))
0.1b	(/ (/ 1 (- -1 x)) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
24×	`associate-/l*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
10×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`associate-/r*` `div-exp`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

2 → 151

Calls

2 calls:

8.0ms	(/ 1 (- -1 x))
14.0ms	(/ (/ 1 (- -1 x)) x)

series39.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 1 (- -1 x))
24.0ms	(/ (/ 1 (- -1 x)) x)

simplify11.5s

Counts

157 → 157

Iterations

Iter	Nodes
3	3175
2	1077
1	508
0	227

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	6
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

629.0ms	1997×	body	640	valid
329.0ms	4241×	body	80	valid
255.0ms	1178×	body	320	valid
100.0ms	585×	body	160	valid