Details

Time bar (total: 5.9s)

sample30.0ms

Algorithm
intervals
Results
10.0ms235×body80valid
1.0ms7×body1280valid
1.0ms5×body640valid
0.0ms4×body320valid
0.0ms4×body160valid
0.0ms1×body2560valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
112124
225124
331124
438124
544124
647124
750124
done50124

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- x (* (/ 3.0 8.0) y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- x (* (/ 3.0 8.0) y))

simplify3.9s

Counts
15 → 15
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0323284
1812913
22492913
38872913
427122913
done50002913

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
42.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
359.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
372.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
370.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
429.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify74.0ms

Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
011939197