Details

Time bar (total: 14.4s)

sample41.0ms

Algorithm
intervals
Results
23.0ms345×body80valid

simplify10.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
10.0ms
(+ (* x.re y.im) (* x.im y.re))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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
14.0ms
(+ (* x.re y.im) (* x.im y.re))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
42.0ms
(+ (* x.re y.im) (* x.im y.re))

simplify1.2s

Counts
16 → 15
Calls
16 calls:
Slowest
382.0ms
(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
192.0ms
(* (exp (* x.re y.im)) (exp (* x.im y.re)))
192.0ms
(+ (* (* x.re y.im) (* x.re y.im)) (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.im y.re))))
167.0ms
(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
121.0ms
(exp (+ (* x.re y.im) (* x.im y.re)))

prune163.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.5b
(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.3b
(* (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))

rewrite100.0ms

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
66.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
15.0ms
(+ (* x.re y.im) (* x.im y.re))
11.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
6.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
113.0ms
(sqrt (+ (* x.re y.im) (* x.im y.re)))
56.0ms
(+ (* x.re y.im) (* x.im y.re))
41.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))

simplify9.4s

Counts
134 → 114
Calls
134 calls:
Slowest
459.0ms
(sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
436.0ms
(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))))
386.0ms
(sqrt (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))))
381.0ms
(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
373.0ms
(* (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))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10499×body80valid