Details

Time bar (total: 2.8s)

sample26.0ms

Algorithm
intervals
Results
11.0ms240×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody2560valid
0.0msbody160valid
0.0msbody320valid

simplify180.0ms

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
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
26.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ x (/ (- x y) 2.0))

simplify2.4s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
036194
198186
2263172
3750172
43556171
done5000171

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
20.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series0.0ms