Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms337×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
18.0ms
(- (* x.re y.re) (* x.im y.im))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.2s

Counts
15 → 15
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
033168
192163
2273163
3788149
41796149
done5000149

prune37.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b
(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
98.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series14.0ms