Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

83.0ms

(+ (+ (/ x 2.0) (* y x)) z)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (+ (/ x 2.0) (* y x)) z)

simplify966.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (216.0ms)

Iter	Nodes	Cost
0	39	234
1	100	229
2	322	211
3	1363	199
done	5000	199

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(sqrt (+ (+ (/ x 2.0) (* y x)) z))
0.0b	(sqrt (+ (+ (/ x 2.0) (* y x)) z))
0.2b	(* (sqrt (+ (+ (/ x 2.0) (* y x)) z)) (sqrt (+ (+ (/ x 2.0) (* y x)) z)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

93.0ms	(+ (+ (/ x 2.0) (* y x)) z)
87.0ms	(sqrt (+ (+ (/ x 2.0) (* y x)) z))
111.0ms	(sqrt (+ (+ (/ x 2.0) (* y x)) z))
782.0ms	(* (sqrt (+ (+ (/ x 2.0) (* y x)) z)) (sqrt (+ (+ (/ x 2.0) (* y x)) z)))

series59.0ms

Calls

1 calls:

36.0ms

(* (sqrt (+ (+ (/ x 2.0) (* y x)) z)) (sqrt (+ (+ (/ x 2.0) (* y x)) z)))