Details

Time bar (total: 2.9s)

sample26.0ms

Algorithm
intervals
Results
16.0ms439×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (36.0ms)

IterNodesCost
01119
12019
24717
310317
421811
544111
6100611
7286011
done500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* 3 (* x.im (* x.re x.re)))
5.8b
(* x.im (* x.re x.re))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
1×unswap-sqr
Counts
2 → 40
Calls
2 calls:
17.0ms
(* 3 (* x.im (* x.re x.re)))
6.0ms
(* x.im (* x.re x.re))

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* 3 (* x.im (* x.re x.re)))
30.0ms
(* x.im (* x.re x.re))

simplify974.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
058409
1150392
2548314
31849314
done5001314

prune81.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x.im x.re) x.re)
0.2b
(* 3 (* (* x.im x.re) x.re))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×*-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
6.0ms
(* (* x.im x.re) x.re)
18.0ms
(* 3 (* (* x.im x.re) x.re))

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (* x.im x.re) x.re)
38.0ms
(* 3 (* (* x.im x.re) x.re))

simplify56.0ms

Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
060406
1169381