Details

Time bar (total: 9.8s)

sample33.0ms

Algorithm
intervals
Results
20.0ms324×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(+ (* x.re y.im) (* x.im y.re))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×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:
Slowest
12.0ms
(+ (* x.re y.im) (* x.im y.re))

series64.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
64.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify210.0ms

Counts
4 → 15
Calls
4 calls:
Slowest
197.0ms
(* (exp (* x.re y.im)) (exp (* x.im y.re)))
6.0ms
(+ (* y.re x.im) (* y.im x.re))
5.0ms
(+ (* y.re x.im) (* y.im x.re))
1.0ms
0

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.0b
(sqrt (+ (* 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))))
0.0b
(+ (* x.re y.im) (* x.im y.re))

rewrite70.0ms

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
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
Slowest
50.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
7.0ms
(+ (* x.re y.im) (* x.im y.re))
6.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
99.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
44.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
40.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify6.1s

Counts
100 → 114
Calls
100 calls:
Slowest
388.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
374.0ms
(* (* (* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re)))) (sqrt (+ (* x.re y.im) (* x.im y.re)))) (* (* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re)))) (sqrt (+ (* x.re y.im) (* x.im y.re)))))
359.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
327.0ms
(sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
327.0ms
(* (sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (sqrt (+ (* x.re y.im) (* x.im y.re))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes266.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
753.0ms10542×body80valid