Details

Time bar (total: 2.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms253×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body320valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2155
3215
4255
done255

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
(* 200.0 (- x y))

rewrite10.0ms

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:
10.0ms
(* 200.0 (- x y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* 200.0 (- x y))

simplify1.1s

Counts
29 → 29
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
052217
1114206
2291186
3817186
42189186
done5000186

prune44.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x 200.0) (* (- y) 200.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×distribute-lft-neg-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+
Counts
1 → 14
Calls
1 calls:
3.0ms
(+ (* x 200.0) (* (- y) 200.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ (* x 200.0) (* (- y) 200.0))

simplify814.0ms

Counts
17 → 17
Iterations

Useful iterations: done (814.0ms)

IterNodesCost
032188
1107135
2400122
31520118
done5001116

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 200.0) (- x y))
0.3b
(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
11.0ms
(* (sqrt 200.0) (- x y))
17.0ms
(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (sqrt 200.0) (- x y))
95.0ms
(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify268.0ms

Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
086741
1198551
2707482