Details

Time bar (total: 5.0s)

sample28.0ms

Algorithm
intervals
Results
11.0ms230×body80valid
3.0ms13×body1280valid
1.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

simplify235.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3297
4407
5457
6497
7587
8747
9907
101017
111037
121077
131087
done1087

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
31.0ms
(+ x (/ (- x y) 2.0))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(+ x (/ (- x y) 2.0))

simplify2.2s

Counts
16 → 16
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
034178
192171
2244157
3682157
43238157
done5002157

prune83.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
diff-log frac-sub distribute-lft-out-- difference-of-squares
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- flip3-+ times-frac associate--l+ sum-log add-cbrt-cube flip-- flip-+ distribute-lft-out
Counts
1 → 20
Calls
1 calls:
114.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify1.2s

Counts
23 → 23
Iterations

Useful iterations: 3 (327.0ms)

IterNodesCost
066371
1162356
2472338
31663330
done5000330

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.5b
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite766.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
65×cbrt-prod
58×add-sqr-sqrt
52×cbrt-div
26×frac-sub
22×distribute-lft-out--
16×frac-times swap-sqr
15×add-cube-cbrt
14×difference-of-squares
13×flip3-- flip3-+ flip-- flip-+
11×pow1 distribute-lft-out
10×associate-*r* associate-*l*
pow1/3
times-frac
add-exp-log
associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
531.0ms
(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
85.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
85.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
56.0ms
(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series14.0ms