Details

Time bar (total: 7.6s)

sample51.0ms

Algorithm
intervals
Results
15.0ms329×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
111
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
7.0ms
(- (* x.re y.re) (* x.im y.im))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(- (* x.re y.re) (* x.im y.im))

simplify2.4s

Counts
15 → 15
Iterations
IterNodes
done5003
41739
3724
2263
192
033

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
2.3b
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
4.3b
(* (* x.re y.re) (* x.im y.im))
36.5b
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

rewrite911.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
16×pow1
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
10×cube-unmult
pow-prod-down prod-exp cbrt-unprod add-log-exp
difference-cubes
associate-/l*
associate-/r*
flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg distribute-rgt-out diff-log div-sub div-exp associate-*r* associate-*l* *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
30.0ms
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
194.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
41.0ms
(* (* x.re y.re) (* x.im y.im))
642.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))
240.0ms
(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im))))
47.0ms
(* (* x.re y.re) (* x.im y.im))
193.0ms
(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* x.im y.im) (* (* x.im y.im) (* x.im y.im)))) (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))

simplify1.7s

Counts
95 → 95
Iterations
IterNodes
done5007
22337
1479
0171

prune416.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample885.0ms

Algorithm
intervals
Results
447.0ms10540×body80valid