Details

Time bar (total: 8.0s)

sample41.0ms

Algorithm
intervals
Results
29.0ms356×body80valid

simplify5.0ms

Calls
1 calls:
Slowest
5.0ms
(+ (* x.re y.im) (* x.im y.re))

prune6.0ms

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.im) (* x.im y.re))

rewrite3.0ms

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
Calls
1 calls:
Slowest
3.0ms
(+ (* x.re y.im) (* x.im y.re))

series37.0ms

Calls
1 calls:
Slowest
37.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify71.0ms

Calls
4 calls:
Slowest
42.0ms
(* (exp (* x.re y.im)) (exp (* x.im y.re)))
17.0ms
(+ (* y.re x.im) (* y.im x.re))
10.0ms
(+ (* y.re x.im) (* y.im x.re))
2.0ms
0

prune185.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
0.2b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.2b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.0b
(+ (* x.re y.im) (* x.im y.re))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×add-sqr-sqrt sqrt-prod
10×*-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
6×add-cbrt-cube pow1/2 associate-*r* associate-*l* add-exp-log add-log-exp
4×frac-times insert-posit16
2×rem-sqrt-square pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
24.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
5.0ms
(+ (* x.re y.im) (* x.im y.re))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series178.0ms

Calls
4 calls:
Slowest
60.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
49.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
40.0ms
(+ (* x.re y.im) (* x.im y.re))
26.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))

simplify4.8s

Calls
60 calls:
Slowest
387.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
358.0ms
(sqrt (+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re)))))
347.0ms
(* (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))))
336.0ms
(sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
333.0ms
(* (sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))) (sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
764.0ms10564×body80valid