Details

Time bar (total: 16.5s)

sample27.0ms

Algorithm
intervals
Results
11.0ms234×body80valid
1.0msbody640valid
1.0msbody1280valid
1.0msbody2560valid
1.0msbody320valid
0.0msbody160valid

simplify191.0ms

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

prune2.0ms

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))

rewrite27.0ms

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:
25.0ms
(+ x (/ (- x y) 2.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(+ x (/ (- x y) 2.0))

simplify2.0s

Counts
16 → 16
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
034178
192171
2244157
3682157
43238157
done5002157

prune67.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* 1.5 x) (* 0.5 y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- (* 1.5 x) (* 0.5 y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(- (* 1.5 x) (* 0.5 y))

simplify2.3s

Counts
15 → 15
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
029174
188169
2268155
3774155
41772155
done5001155

prune60.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
78.0ms
(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
19.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
11.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
12.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))

series2.4s

Counts
4 → 12
Calls
4 calls:
618.0ms
(* (cbrt (- (* 1.5 x) (* 0.5 y))) (cbrt (- (* 1.5 x) (* 0.5 y))))
605.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
586.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
558.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify3.7s

Counts
99 → 99
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01292000
12681867
27041749
316821582
439531526
done50001471

prune352.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))
0.6b
(cbrt (- (* 1.5 x) (* 0.5 y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
9.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
12.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
11.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
11.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))

series2.3s

Counts
4 → 12
Calls
4 calls:
634.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
573.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
543.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))
581.0ms
(cbrt (- (* 1.5 x) (* 0.5 y)))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: 4 (965.0ms)

IterNodesCost
0671000
1155976
2395908
3969880
41976832
done5000832

prune383.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes6.0ms