Details

sample31.0ms

Algorithm

intervals

Results

10.0ms	52×	body	640	valid
6.0ms	133×	body	80	valid
6.0ms	42×	body	320	valid
3.0ms	29×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune4.0ms

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))

rewrite82.0ms

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))
48.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (+ x 1))
57.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.2s

Counts

333 → 333

Iterations

Iter	Nodes
done	2009
3	2009
2	1678
1	820
0	358

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ (- x (+ x 1)) (* (+ x 1) x))
3.4b	(- x (+ x 1))

rewrite115.0ms

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:

32.0ms	(* (+ x 1) x)
64.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
17.0ms	(- x (+ x 1))

series117.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (+ x 1) x)
34.0ms	(/ (- x (+ x 1)) (* (+ x 1) x))
11.0ms	(- x (+ x 1))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	2015
3	2015
2	1287
1	364
0	140

prune651.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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

series56.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ -1 (+ 1 x))
35.0ms	(/ (/ -1 (+ 1 x)) x)

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	2009
3	2009
2	1515
1	498
0	203

prune878.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1 x))
0.4b	(/ -1 (* x (+ 1 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

15.0ms	(* x (+ 1 x))
8.0ms	(/ -1 (* x (+ 1 x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (+ 1 x))
22.0ms	(/ -1 (* x (+ 1 x)))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	2002
3	2002
2	877
1	236
0	91

prune381.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	1935×	body	640	valid
386.0ms	4208×	body	80	valid
275.0ms	1240×	body	320	valid
83.0ms	619×	body	160	valid