Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	10	5
done	10	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ y 200.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

6.0ms

(- x (/ y 200.0))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (/ y 200.0))

simplify1.1s

Counts

18 → 18

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	39	167
1	84	162
2	178	152
3	381	152
4	994	152
5	3056	152
done	5000	152

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y 200.0))
0.0b	(sqrt (- x (/ y 200.0)))
0.0b	(sqrt (- x (/ y 200.0)))
0.3b	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`sqrt-prod`
34×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `difference-of-squares`
13×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

5.0ms	(- x (/ y 200.0))
13.0ms	(sqrt (- x (/ y 200.0)))
10.0ms	(sqrt (- x (/ y 200.0)))
50.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- x (/ y 200.0))
81.0ms	(sqrt (- x (/ y 200.0)))
80.0ms	(sqrt (- x (/ y 200.0)))
28.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify223.0ms

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	131	1981
1	243	1399
2	689	1319