math.cube on complex, imaginary part

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.1s (22.4%)

Memory
29.7MiB live, 971.2MiB allocated; 524ms collecting garbage
Samples
685.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 412.0ms
ival-mult!: 357.0ms (86.6% of total)
ival-add!: 33.0ms (8% of total)
ival-sub!: 20.0ms (4.9% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess71.0ms (1.4%)

Memory
-30.3MiB live, 64.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036118
1160102
2568102
3151066
4517466
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series112.0ms (2.3%)

Memory
51.1MiB live, 129.9MiB allocated; 31ms collecting garbage
Counts
11 → 26
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (* x.re x.re) (pow.f64 x.re #s(literal 2 binary64)))
#s(approx x.re x.re)
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
#s(approx (* x.re x.im) (*.f64 x.im x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* x.im x.im) (pow.f64 x.im #s(literal 2 binary64)))
#s(approx x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
Calls

6 calls:

TimeVariablePoint
3.0ms
x.im
-inf
2.0ms
x.im
0
2.0ms
x.im
inf
2.0ms
x.re
inf
2.0ms
x.re
0

rewrite169.0ms (3.4%)

Memory
-23.6MiB live, 75.9MiB allocated; 87ms collecting garbage
Counts
11 → 42
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(+.f64 (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) (*.f64 (neg.f64 (fma.f64 x.re x.im (*.f64 x.re x.im))) x.re))
(-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) (neg.f64 (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re)))
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(fma.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)
(*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 (*.f64 x.re x.re) (neg.f64 (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (neg.f64 (*.f64 x.im x.im)))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (neg.f64 (*.f64 x.im x.im)))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(neg.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))
(*.f64 x.re x.re)
(*.f64 (fabs.f64 x.re) (fabs.f64 x.re))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(*.f64 (fabs.f64 x.im) (fabs.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(pow.f64 x.im #s(literal 2 binary64))
x.im
(*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re)
(*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(-.f64 (*.f64 x.re x.im) (neg.f64 (*.f64 x.re x.im)))
(-.f64 (*.f64 x.re x.im) (*.f64 (neg.f64 x.im) x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)

eval7.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 449 to 236 computations (83.7% saved)

prune30.0ms (0.6%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54660
Fresh000
Picked101
Done000
Total55661
Accuracy
93.7%
Counts
61 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.1%
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
▶84.0%
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
▶80.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))
62.9%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
▶57.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 276 to 164 computations (40.6% saved)

series234.0ms (4.7%)

Memory
-14.6MiB live, 110.3MiB allocated; 67ms collecting garbage
Counts
31 → 72
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
x.re
x.im
(*.f64 x.re x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re)
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
#s(literal 2 binary64)
(*.f64 x.im x.re)
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 2 binary64) x.im)
Outputs
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))))
#s(approx (+ (* x.re x.im) (* x.re x.im)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
#s(approx x.re x.re)
#s(approx (* x.re x.im) (*.f64 x.im x.re))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im x.re (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))))
#s(approx (+ x.re x.im) x.im)
#s(approx (+ x.re x.im) (+.f64 x.im x.re))
#s(approx (- x.re x.im) (*.f64 #s(literal -1 binary64) x.im))
#s(approx (- x.re x.im) (-.f64 x.re x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (* x.re x.re) (pow.f64 x.re #s(literal 2 binary64)))
#s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* (pow x.re 2) (+ x.im (* 2 x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal 2 binary64) x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (/.f64 x.im x.re)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re))))))
#s(approx (+ x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
#s(approx (- x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) x.re)))))
#s(approx (+ x.re x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64)))))
#s(approx (- x.re x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 x.re (fma.f64 #s(literal -1 binary64) x.im (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 x.im (fma.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 x.im (fma.f64 x.im (+.f64 x.re (fma.f64 #s(literal -1 binary64) x.im (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (fma.f64 x.im (+.f64 x.re (fma.f64 #s(literal -1 binary64) x.im (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (- x.re x.im) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (pow x.im 3) (pow.f64 x.im #s(literal 3 binary64)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* x.im x.im) (pow.f64 x.im #s(literal 2 binary64)))
#s(approx (* (pow x.re 2) (+ x.im (* 2 x.im))) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ x.im (* 2 x.im)) (*.f64 #s(literal 3 binary64) x.im))
#s(approx (* 2 x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ x.re x.im) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))
#s(approx (- x.re x.im) (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (/.f64 x.re x.im))))))
#s(approx (+ (* (+ (* x.re x.im) (* x.re x.im)) x.re) (* (* (+ x.re x.im) (- x.re x.im)) x.im)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im))))))
#s(approx (* (* (+ x.re x.im) (- x.re x.im)) x.im) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im))))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) x.im)) #s(literal 1 binary64))))
#s(approx (* (+ x.re x.im) (- x.re x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) x.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) x.im)) #s(literal 1 binary64))))
#s(approx (+ x.re x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64)))))
#s(approx (- x.re x.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
Calls

6 calls:

TimeVariablePoint
25.0ms
x.im
0
18.0ms
x.re
-inf
12.0ms
x.im
-inf
10.0ms
x.im
inf
4.0ms
x.re
inf

rewrite824.0ms (16.6%)

Memory
3.6MiB live, 579.8MiB allocated; 201ms collecting garbage
Counts
31 → 2 922
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(fma.f64 x.re x.im (*.f64 x.re x.im))
x.re
x.im
(*.f64 x.re x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re)
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
#s(literal 2 binary64)
(*.f64 x.im x.re)
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
(*.f64 #s(literal 2 binary64) x.im)
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)))
(*.f64 (neg.f64 x.im) (-.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)))
(*.f64 (neg.f64 x.im) (-.f64 (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -2 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im))
(*.f64 x.im (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(+.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
(+.f64 (*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 (+.f64 x.re x.re) x.re))) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 x.im (*.f64 (-.f64 (neg.f64 x.im) x.re) x.im)) (-.f64 (*.f64 (*.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (*.f64 x.re #s(literal -2 binary64)) (*.f64 x.re x.im))))
(+.f64 (*.f64 x.im (*.f64 (-.f64 (neg.f64 x.im) x.re) x.im)) (fma.f64 (*.f64 (+.f64 x.re x.im) x.im) x.re (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im))))
(+.f64 (fma.f64 (*.f64 (+.f64 x.re x.re) x.re) x.im (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im x.im) (-.f64 x.re x.im)))
(+.f64 (fma.f64 (*.f64 (+.f64 x.re x.re) x.re) x.im (*.f64 (*.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.im (*.f64 (-.f64 (neg.f64 x.im) x.re) x.im)))
(+.f64 (fma.f64 (*.f64 (+.f64 x.re x.re) x.re) x.im (*.f64 (*.f64 x.im x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)))
(+.f64 (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)) (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 (+.f64 x.re x.re) x.re))))
(+.f64 (*.f64 (*.f64 x.re x.im) (+.f64 x.re x.im)) (fma.f64 (*.f64 (-.f64 (neg.f64 x.im) x.re) x.im) x.im (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 x.re x.im)) (-.f64 (*.f64 (*.f64 x.im x.im) (-.f64 x.re x.im)) (*.f64 (*.f64 x.re #s(literal -2 binary64)) (*.f64 x.re x.im))))
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(fma.f64 (+.f64 x.re x.re) (*.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (*.f64 (neg.f64 x.im) (fabs.f64 x.re)) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 2 binary64)) (*.f64 (neg.f64 x.im) (fabs.f64 x.re)) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (*.f64 (neg.f64 x.im) (neg.f64 (fabs.f64 x.re))) (fabs.f64 x.re) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x.re x.re))) (neg.f64 x.im) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
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(fma.f64 (neg.f64 x.im) (-.f64 (neg.f64 (*.f64 x.re x.re)) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) x.im))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 (*.f64 x.re x.re)) #s(literal 1 binary64)) (*.f64 (+.f64 x.re x.re) (*.f64 x.re x.im)))
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(*.f64 x.re x.re)
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(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (neg.f64 (fabs.f64 x.re)))
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(*.f64 (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 x.re x.re))
(fabs.f64 (neg.f64 (*.f64 x.re x.re)))
(fabs.f64 (*.f64 x.re (fabs.f64 x.re)))
(fabs.f64 (*.f64 (fabs.f64 x.re) x.re))
(fabs.f64 (*.f64 (fabs.f64 x.re) (neg.f64 x.re)))
(fabs.f64 (*.f64 (neg.f64 x.re) (fabs.f64 x.re)))
(fabs.f64 (*.f64 x.re (neg.f64 (fabs.f64 x.re))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) x.re))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 x.re)))
(fabs.f64 (*.f64 (neg.f64 x.re) (neg.f64 (fabs.f64 x.re))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x.re x.re))))
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 x.re x.re) x.re) #s(literal 2 binary64))
(fma.f64 (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (fabs.f64 x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x.re)) (fabs.f64 x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (neg.f64 x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x.re)) (neg.f64 x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x.re) (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (fabs.f64 x.re) (*.f64 (fabs.f64 x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 x.re x.re (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 x.re x.re (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (fabs.f64 x.re) (fabs.f64 x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (neg.f64 (fabs.f64 x.re)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x.re))) (neg.f64 (fabs.f64 x.re)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (*.f64 x.re x.re)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x.re x.re))))
(neg.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) #s(literal 1 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(pow.f64 (fabs.f64 x.re) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))
(*.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 x.im (+.f64 x.im x.im))
(+.f64 (+.f64 x.im x.im) x.im)
(-.f64 (+.f64 x.im x.im) (neg.f64 x.im))
(-.f64 x.im (*.f64 x.im #s(literal -2 binary64)))
(fma.f64 x.im #s(literal 2 binary64) x.im)
(fma.f64 #s(literal 2 binary64) x.im x.im)
(fma.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -1 binary64) x.im)
(fma.f64 (+.f64 x.im x.im) #s(literal 1 binary64) x.im)
(fma.f64 (neg.f64 x.im) #s(literal -2 binary64) x.im)
(fma.f64 (neg.f64 x.im) #s(literal -1 binary64) (+.f64 x.im x.im))
(fma.f64 #s(literal -2 binary64) (neg.f64 x.im) x.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.im #s(literal -2 binary64)) x.im)
(fma.f64 #s(literal -1 binary64) (neg.f64 x.im) (+.f64 x.im x.im))
(fma.f64 #s(literal 1 binary64) (+.f64 x.im x.im) x.im)
(fma.f64 x.im #s(literal 1 binary64) (+.f64 x.im x.im))
(fma.f64 #s(literal 1 binary64) x.im (+.f64 x.im x.im))
(neg.f64 (*.f64 x.im #s(literal -3 binary64)))
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))
(*.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x.im x.im) #s(literal 1 binary64))
(*.f64 (neg.f64 x.im) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x.im))
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(*.f64 #s(literal 1 binary64) (+.f64 x.im x.im))
(+.f64 x.im x.im)
(+.f64 (+.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(+.f64 (+.f64 x.im x.im) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 x.im (neg.f64 x.im))
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(fma.f64 #s(literal -1 binary64) (neg.f64 x.im) x.im)
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(fma.f64 (neg.f64 x.im) #s(literal -2 binary64) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
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(fma.f64 (+.f64 x.im x.im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 (+.f64 x.im x.im) #s(literal 1 binary64) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im #s(literal -2 binary64)) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 #s(literal 1 binary64) (+.f64 x.im x.im) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x.im) (*.f64 #s(literal 0 binary64) (+.f64 x.im x.im)))
(fma.f64 #s(literal -2 binary64) (neg.f64 x.im) (*.f64 (+.f64 x.im x.im) #s(literal 0 binary64)))
(neg.f64 (*.f64 x.im #s(literal -2 binary64)))

eval1.4s (28%)

Memory
-75.2MiB live, 631.2MiB allocated; 1.8s collecting garbage
Compiler

Compiled 64 181 to 6 424 computations (90% saved)

prune52.0ms (1%)

Memory
38.2MiB live, 129.9MiB allocated; 12ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2 516112 527
Fresh101
Picked505
Done000
Total2 522112 533
Accuracy
100.0%
Counts
2 533 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
76.5%
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) x.im))
▶86.7%
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
57.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (neg.f64 x.re)))
▶47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
▶57.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
▶47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
Compiler

Compiled 510 to 312 computations (38.8% saved)

series155.0ms (3.1%)

Memory
3.5MiB live, 144.0MiB allocated; 89ms collecting garbage
Counts
25 → 33
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.im x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
(*.f64 x.im #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
(*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)))
(fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))
(neg.f64 x.re)
(*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)
(*.f64 x.re #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (- (* (* x.re 3) x.re) (* x.im x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (- (* (* x.re 3) x.re) (* x.im x.im)) (-.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
#s(approx (* (* x.re 3) x.re) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* x.re 3) (*.f64 #s(literal 3 binary64) x.re))
#s(approx x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (* x.re x.re) (* x.im 3)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* x.re x.re) (pow.f64 x.re #s(literal 2 binary64)))
#s(approx (* (* x.re x.re) x.im) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (+ (* (neg x.re) x.re) (* (* x.re -2) x.re)) (*.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (neg x.re) (*.f64 #s(literal -1 binary64) x.re))
#s(approx (* (* x.re -2) x.re) (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
#s(approx (* x.re -2) (*.f64 #s(literal -2 binary64) x.re))
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (- (* (* x.re 3) x.re) (* x.im x.im)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (- (* (* x.re 3) x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* x.im x.im) (pow.f64 x.im #s(literal 2 binary64)))
#s(approx x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (neg x.im) (*.f64 #s(literal -1 binary64) x.im))
#s(approx (* x.im 3) (*.f64 #s(literal 3 binary64) x.im))
#s(approx (* (neg x.im) (+ (* (neg x.re) x.re) (* (* x.re -2) x.re))) (*.f64 #s(literal -1 binary64) (*.f64 x.im (fma.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (* (* x.re 3) x.re) (* x.im x.im)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (- (* (* x.re 3) x.re) (* x.im x.im)) x.im) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
Calls

6 calls:

TimeVariablePoint
5.0ms
x.re
0
3.0ms
x.im
inf
3.0ms
x.im
-inf
3.0ms
x.im
0
2.0ms
x.re
-inf

rewrite151.0ms (3%)

Memory
-11.7MiB live, 174.0MiB allocated; 28ms collecting garbage
Counts
25 → 71
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)
(*.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.im x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
(*.f64 x.im #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
(*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)))
(fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))
(neg.f64 x.re)
(*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)
(*.f64 x.re #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (neg.f64 (*.f64 x.im x.im)))
(+.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 (neg.f64 x.im) x.im))
(-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (*.f64 x.im x.im)))
(fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (neg.f64 (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) x.re (*.f64 (neg.f64 x.im) x.im))
(fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 x.im) x.im))
(neg.f64 (-.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.re)
x.re
#s(literal 3 binary64)
(*.f64 x.im x.im)
(*.f64 (fabs.f64 x.im) (fabs.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.re x.im)) x.re)) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(neg.f64 (*.f64 (*.f64 x.im x.im) x.im))
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.re x.im)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.re x.re)
(*.f64 (fabs.f64 x.re) (fabs.f64 x.re))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.re x.im)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.re x.im)) x.re)) (*.f64 (*.f64 x.re (+.f64 (neg.f64 x.re) (*.f64 x.re #s(literal -2 binary64)))) (neg.f64 x.im)))
(*.f64 (*.f64 x.re (+.f64 (neg.f64 x.re) (*.f64 x.re #s(literal -2 binary64)))) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 x.re (+.f64 (neg.f64 x.re) (*.f64 x.re #s(literal -2 binary64)))))
(+.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) (neg.f64 x.im)) (*.f64 (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re) (neg.f64 x.im)))
(+.f64 (*.f64 (neg.f64 x.im) (neg.f64 (*.f64 x.re x.re))) (*.f64 (neg.f64 x.im) (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)))
(fma.f64 (neg.f64 (*.f64 x.re x.re)) (neg.f64 x.im) (*.f64 (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re) (neg.f64 x.im)))
(fma.f64 (neg.f64 x.im) (neg.f64 (*.f64 x.re x.re)) (*.f64 (neg.f64 x.im) (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)))
(neg.f64 (*.f64 x.im (*.f64 x.re (+.f64 (neg.f64 x.re) (*.f64 x.re #s(literal -2 binary64))))))
(*.f64 x.re (+.f64 (neg.f64 x.re) (*.f64 x.re #s(literal -2 binary64))))
(+.f64 (neg.f64 (*.f64 x.re x.re)) (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))
(+.f64 (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re) (neg.f64 (*.f64 x.re x.re)))
(-.f64 (neg.f64 (*.f64 x.re x.re)) (neg.f64 (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)))
(-.f64 (neg.f64 (*.f64 x.re x.re)) (*.f64 (neg.f64 (*.f64 x.re #s(literal -2 binary64))) x.re))
(fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))
(fma.f64 x.re (neg.f64 x.re) (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))
(fma.f64 (*.f64 x.re #s(literal -2 binary64)) x.re (neg.f64 (*.f64 x.re x.re)))
(fma.f64 x.re (*.f64 x.re #s(literal -2 binary64)) (neg.f64 (*.f64 x.re x.re)))
(neg.f64 x.re)
(*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re)
(*.f64 x.re (*.f64 x.re #s(literal -2 binary64)))
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x.re)
#s(literal -2 binary64)

eval13.0ms (0.3%)

Memory
-24.3MiB live, 20.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 562 to 349 computations (86.4% saved)

prune6.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New93194
Fresh156
Picked055
Done000
Total9411105
Accuracy
100.0%
Counts
105 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.1%
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
76.5%
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) x.im))
✓86.7%
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
▶57.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
✓47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
▶55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
✓57.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
✓47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
▶55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
Compiler

Compiled 385 to 236 computations (38.7% saved)

series129.0ms (2.6%)

Memory
-10.4MiB live, 87.4MiB allocated; 98ms collecting garbage
Counts
21 → 23
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(*.f64 x.re #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
Outputs
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (* (* x.re x.re) (* x.im 3)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (* x.re x.re) (pow.f64 x.re #s(literal 2 binary64)))
#s(approx x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (* x.re (* x.im 3)) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
#s(approx (* x.re x.im) (*.f64 x.im x.re))
#s(approx (* x.re 3) (*.f64 #s(literal 3 binary64) x.re))
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (* x.im x.im) (pow.f64 x.im #s(literal 2 binary64)))
#s(approx x.im x.im)
#s(approx (neg x.im) (*.f64 #s(literal -1 binary64) x.im))
#s(approx (* x.im 3) (*.f64 #s(literal 3 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* (* x.im x.im) (neg x.im)) (* (* x.re x.re) (* x.im 3))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
Calls

6 calls:

TimeVariablePoint
2.0ms
x.im
-inf
2.0ms
x.im
inf
2.0ms
x.re
0
2.0ms
x.re
-inf
2.0ms
x.im
0

rewrite147.0ms (2.9%)

Memory
14.6MiB live, 149.6MiB allocated; 23ms collecting garbage
Counts
21 → 85
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(*.f64 x.re #s(literal 3 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re)
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
Outputs
(+.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(-.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)) (*.f64 (neg.f64 (*.f64 x.re x.re)) (*.f64 x.im #s(literal 3 binary64))))
(-.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)) (neg.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(*.f64 x.im x.im)
(*.f64 (fabs.f64 x.im) (fabs.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 x.im))
(pow.f64 x.im #s(literal 2 binary64))
x.im
(neg.f64 x.im)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
(*.f64 (fabs.f64 x.re) (fabs.f64 x.re))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.im x.re) (* x.im x.re)) x.re)) (neg.f64 (*.f64 (*.f64 x.im x.im) x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.im (neg.f64 x.im)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 x.im x.im) x.im))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))

eval14.0ms (0.3%)

Memory
33.9MiB live, 33.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 688 to 239 computations (85.8% saved)

prune19.0ms (0.4%)

Memory
-26.7MiB live, 22.7MiB allocated; 13ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New74175
Fresh011
Picked055
Done235
Total761086
Accuracy
100.0%
Counts
86 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.1%
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
76.5%
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) x.im))
✓86.7%
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
✓57.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
✓47.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
✓55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
✓57.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
✓55.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
Compiler

Compiled 222 to 136 computations (38.7% saved)

regimes76.0ms (1.5%)

Memory
31.0MiB live, 166.7MiB allocated; 11ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 3
8 → 3
16 → 2
20 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Call 2
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Call 3
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (neg.f64 x.re)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Call 4
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (neg.f64 x.re)))
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) x.im))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
Call 5
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.re) (neg.f64 x.re)))
(*.f64 (-.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re) (*.f64 x.im x.im)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (neg.f64 x.re) x.re (*.f64 (*.f64 x.re #s(literal -2 binary64)) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) x.im))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.re))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re))
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(fma.f64 (fma.f64 x.re x.im (*.f64 x.re x.im)) x.re (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
Calls

12 calls:

13.0ms
x.im
11.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
11.0ms
x.re
11.0ms
x.re
9.0ms
x.im
Results
AccuracySegmentsBranch
57.3%1x.im
57.3%1x.re
57.3%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
95.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
95.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
80.5%2x.im
85.1%2x.re
97.4%2x.re
97.1%3x.im
96.4%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
97.4%2x.re
99.1%3x.im
Compiler

Compiled 550 to 149 computations (72.9% saved)

bsearch27.0ms (0.5%)

Memory
-4.7MiB live, 45.2MiB allocated; 12ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.394961674329985e+222
5.1571444789156e+224
14.0ms
3.0035709029897973e-114
1.1872799136357814e-113
Samples
17.0ms192×0valid
Compiler

Compiled 543 to 333 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 11.0ms (87.8% of total)
ival-add!: 1.0ms (8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-14.7MiB live, 29.8MiB allocated; 6ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
3.897414154797282e+150
6.671868919078406e+153
Samples
10.0ms128×0valid
Compiler

Compiled 326 to 224 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 7.0ms (92.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.0638127757452637e-298
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-2.0638127757452637e-298
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

derivations2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 392 to 57 computations (85.5% saved)

preprocess207.0ms (4.2%)

Memory
7.1MiB live, 336.3MiB allocated; 161ms collecting garbage
Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 2 728 to 883 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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