Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	61×	body	640	valid
16.0ms	51×	body	320	valid
11.0ms	129×	body	80	valid
3.0ms	15×	body	160	valid

simplify10.0ms

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: 15.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
3.1b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite119.0ms

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:

16.0ms	(/ 1 (+ x 1))
88.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series55.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ 1 (+ x 1))
39.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify5.7s

Counts

333 → 333

Iterations

Iter	Nodes
3	3474
2	1490
1	797
0	358

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (- x 1) x) (fma x x x))
2.4b	(- (- x 1) x)

rewrite119.0ms

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:

73.0ms	(/ (- (- x 1) x) (fma x x x))
44.0ms	(- (- x 1) x)

series42.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- (- 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

prune855.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

29.0ms	(* (- -1 x) x)
25.0ms	(/ 1 (* (- -1 x) x))

series112.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (- -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

prune402.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

9.0ms	(/ 1 (- -1 x))
15.0ms	(/ (/ 1 (- -1 x)) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1 (- -1 x))
33.0ms	(/ (/ 1 (- -1 x)) x)

simplify11.3s

Counts

157 → 157

Iterations

Iter	Nodes
3	3175
2	1077
1	508
0	227

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

554.0ms	1951×	body	640	valid
331.0ms	4234×	body	80	valid
262.0ms	1210×	body	320	valid
75.0ms	606×	body	160	valid