Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	51×	body	640	valid
7.0ms	138×	body	80	valid
6.0ms	50×	body	320	valid
2.0ms	18×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:

8.0ms	(/ 1 (+ x 1))
40.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series45.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ 1 (+ x 1))
30.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.0s

Counts

333 → 333

Iterations

Iter	Nodes
done	2000
2	1678
1	820
0	358

prune754.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
1.2b	(- x (+ x 1))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

28.0ms	(* (+ x 1) x)
45.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
30.0ms	(- x (+ x 1))

series114.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (+ x 1) x)
34.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
10.0ms	(- x (+ x 1))

simplify837.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2015
2	1287
1	364
0	140

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 129

Calls

2 calls:

15.0ms	(/ -1 (+ 1 x))
26.0ms	(/ (/ -1 (+ 1 x)) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ -1 (+ 1 x))
31.0ms	(/ (/ -1 (+ 1 x)) x)

simplify1.0s

Counts

135 → 135

Iterations

Iter	Nodes
done	2009
2	1515
1	498
0	203

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

14.0ms	(/ -1 (+ 1 x))
26.0ms	(* (/ -1 (+ 1 x)) (/ 1 x))

series46.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ -1 (+ 1 x))
31.0ms	(* (/ -1 (+ 1 x)) (/ 1 x))

simplify764.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2017
2	1394
1	476
0	168

prune291.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes38.0ms

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
done	9
1	9
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

563.0ms	1957×	body	640	valid
320.0ms	4201×	body	80	valid
283.0ms	1251×	body	320	valid
123.0ms	593×	body	160	valid