Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	15	204
2	20	204
3	23	204
4	25	204
5	26	204
done	26	204

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
11.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `prod-exp` `cbrt-unprod`

Counts

3 → 66

Calls

3 calls:

15.0ms	(/ (* x y) 2.0)
7.0ms	(+ 1.0 (/ (* x y) 2.0))
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (* x y) 2.0)
45.0ms	(+ 1.0 (/ (* x y) 2.0))
76.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	19908
1	338	17012
2	1187	16570
done	5001	16410

prune319.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
11.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*` `add-exp-log`
17×	`distribute-lft-out`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `prod-exp` `associate-/r/` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 154

Calls

4 calls:

8.0ms	(/ (* x y) 2.0)
7.0ms	(+ 1.0 (/ (* x y) 2.0))
24.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
34.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series652.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* x y) 2.0)
45.0ms	(+ 1.0 (/ (* x y) 2.0))
501.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
77.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify318.0ms

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	236	57818