Details

Time bar (total: 4.0s)

sample42.0ms

Algorithm
intervals
Results
19.0ms351×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
15.0ms
(+ (* x.re y.im) (* x.im y.re))

series531.0ms

Counts
1 → 3
Calls
1 calls:
530.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify3.2s

Counts
14 → 14
Iterations

Useful iterations: 3 (370.0ms)

IterNodesCost
032160
1101155
2342155
3927141
42510141
done5001141

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.7b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.7b
(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.7b
(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite82.0ms

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:
57.0ms
(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
11.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(cbrt (+ (* x.re y.im) (* x.im y.re)))

series14.0ms