Details

Time bar (total: 5.8s)

sample32.0ms

Algorithm
intervals
Results
15.0ms329×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done10
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 12
Calls
1 calls:
8.0ms
(+ (* x.re y.im) (* x.im y.re))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify2.3s

Counts
15 → 15
Iterations
IterNodes
done5000
42454
3930
2339
1102
033

prune62.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re y.im) (* x.im y.re))
0.2b
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.1b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.1b
(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
flip3-+ flip-+
swap-sqr
add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
pow-prod-up
frac-times insert-posit16 unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*l/ associate-*r/
pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
10.0ms
(+ (* x.re y.im) (* x.im y.re))
60.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
11.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
8.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* x.re y.im) (* x.im y.re))
47.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
92.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
84.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.6s

Counts
114 → 114
Iterations
IterNodes
done5005
32798
2807
1264
0109

prune387.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample741.0ms

Algorithm
intervals
Results
443.0ms10469×body80valid