Details

Time bar (total: 3.0s)

sample22.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2207
3247
done247

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
12.0ms
(- (* x.re y.re) (* x.im y.im))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.7s

Counts
19 → 19
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
039202
1106193
2319178
3984178
42235173
done5000173

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)))

rewrite100.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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:
63.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
9.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
12.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
12.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series18.0ms