Details

Time bar (total: 12.7s)

sample43.0ms

Algorithm
intervals
Results
27.0ms330×body80valid

simplify31.0ms

Calls
1 calls:
Slowest
31.0ms
(- (* x.re y.re) (* x.im y.im))

prune21.0ms

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))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
Calls
1 calls:
Slowest
5.0ms
(- (* x.re y.re) (* x.im y.im))

series36.0ms

Calls
1 calls:
Slowest
36.0ms
(- (* x.re y.re) (* x.im y.im))

simplify113.0ms

Calls
4 calls:
Slowest
47.0ms
(/ (exp (* x.re y.re)) (exp (* x.im y.im)))
36.0ms
(- (* y.re x.re) (* y.im x.im))
27.0ms
(- (* y.re x.re) (* y.im x.im))
2.0ms
0

prune148.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.1b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.1b
(cbrt (- (* x.re y.re) (* x.im y.im)))
2.1b
(cbrt (- (* x.re y.re) (* x.im y.im)))
0.5b
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-- flip--
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
16.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

series549.0ms

Calls
4 calls:
Slowest
151.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
137.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))
135.0ms
(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
127.0ms
(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify9.6s

Calls
59 calls:
Slowest
588.0ms
(* (cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))) (cbrt (- (* x.re y.re) (* x.im y.im))))
477.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))
474.0ms
(* (cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))) (cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))))
395.0ms
(cbrt (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)))
365.0ms
(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

prune954.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch2.0ms

end0.0ms

sample842.0ms

Algorithm
intervals
Results
594.0ms10411×body80valid