Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

259×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	21	5
4	26	5
done	26	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

34.0ms

(* 500.0 (- x y))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* 500.0 (- x y))

simplify3.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

14.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	31	188
1	105	135
2	411	122
3	1584	118
done	5001	116

prune52.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 500.0 (- x y))
0.1b	(sqrt (* 500.0 (- x y)))
0.1b	(sqrt (* 500.0 (- x y)))
0.3b	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* 500.0 (- x y))
14.0ms	(sqrt (* 500.0 (- x y)))
14.0ms	(sqrt (* 500.0 (- x y)))
118.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

series263.0ms

Calls

1 calls:

160.0ms

(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))