Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	9	204
1	15	204
2	20	204
3	24	179
4	26	179
5	27	179
done	27	179

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `fma-def` `div-exp` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `prod-exp` `cbrt-unprod`

Counts

3 → 75

Calls

3 calls:

8.0ms	(/ (* x y) 2.0)
13.0ms	(+ 1.0 (/ (* x y) 2.0))
22.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* x y) 2.0)
52.0ms	(+ 1.0 (/ (* x y) 2.0))
97.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	142	21130
1	349	18134
2	1207	17497
done	5005	16257

prune524.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
11.3b	(/ (fma (/ x 2.0) y 1.0) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 107

Calls

2 calls:

16.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
8.0ms	(/ (fma (/ x 2.0) y 1.0) y)

series188.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
97.0ms	(/ (fma (/ x 2.0) y 1.0) y)

simplify237.0ms

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	184	42484