Details

Time bar (total: 3.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms251×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
11.0ms
(+ x (/ (fabs (- y x)) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.8s

Counts
15 → 15
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
031195
184187
2209171
3459171
41200171
52875171
done5001171

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
122.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series28.0ms