Details

sample20.0ms

Algorithm

intervals

Results

5.0ms	58×	body	640	valid
3.0ms	137×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	24×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	162
1	9	162
2	12	162
done	12	162

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
85.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series113.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1.0 (+ x 1.0))
79.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.5s

Counts

320 → 320

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	387	204122
1	917	177333
2	2272	152308
done	5000	128197

prune972.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
1.9b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

20.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
8.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
12.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	104	16386
1	323	14298
2	1558	12137
done	5003	10772

prune217.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1.0))
0.1b	(* (/ 1 (+ x 1.0)) (/ (- 0 (* 1.0 1.0)) x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity` `times-frac`
28×	`add-exp-log`
27×	`add-cube-cbrt`
18×	`associate-l`
16×	`add-cbrt-cube` `associate-r`
10×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`pow1` `cbrt-undiv`
4×	`associate-/r*` `associate-/r/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `difference-of-squares`
2×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `distribute-frac-neg` `*-commutative` `distribute-rgt-neg-out` `pow-flip` `inv-pow` `sub0-neg`

Counts

2 → 106

Calls

2 calls:

18.0ms	(/ 1 (+ x 1.0))
58.0ms	(* (/ 1 (+ x 1.0)) (/ (- 0 (* 1.0 1.0)) x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ 1 (+ x 1.0))
56.0ms	(* (/ 1 (+ x 1.0)) (/ (- 0 (* 1.0 1.0)) x))

simplify182.0ms

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	181	35308