math.cube on complex, imaginary part

Time bar (total: 8.8s)

analyze0.0ms (0%)

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 22 to 12 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (12.1%)

Results
821.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 583.0ms
ival-mult: 442.0ms (75.8% of total)
ival-add: 89.0ms (15.3% of total)
ival-sub: 42.0ms (7.2% of total)
const: 7.0ms (1.2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess244.0ms (2.8%)

Algorithm
2×egg-herbie
Rules
2576×+-lowering-+.f64
2576×+-lowering-+.f32
1618×fnmadd-define
1464×*-lowering-*.f32
1464×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036102
113392
239390
3183568
4791366
01116
12815
26415
317711
447710
5204910
6326810
7764310
0810110
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
Call 2
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))
Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(- (pow x.im 3) (* (* x.re (* x.re x.im)) 3))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(- (pow x.im 3) (* (* x.re (* x.re x.im)) 3))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))
(- (* (* x.re (* x.im x.im)) 3) (pow x.re 3))
Symmetry

(abs x.re)

(negabs x.im)

explain152.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-0-(+.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))
180-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
140-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-x.im
00-0-x.re
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 x.re x.re)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.im)
Results
60.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 24.0ms (73.3% of total)
ival-add: 5.0ms (15.3% of total)
ival-sub: 3.0ms (9.2% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.5%
(+.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))
▶87.6%
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify223.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓cost-diff512
(+.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))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
Rules
2236×+-lowering-+.f64
2236×+-lowering-+.f32
1742×--lowering--.f32
1742×--lowering--.f64
1638×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
14082
29182
323482
458982
5225282
6352782
0816482
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
x.im
(- (* (* x.re x.re) 3) (* x.im x.im))
(* (* x.re x.re) 3)
(* x.re x.re)
x.re
3
(* x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
Outputs
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
x.im
(- (* (* x.re x.re) 3) (* x.im x.im))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* (* x.re x.re) 3)
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
3
#s(literal 3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(- (* x.re x.re) (* x.im x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+ (* x.re x.im) (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)

localize60.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy89.4%
(+.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))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.7%
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
✓accuracy94.7%
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
✓accuracy93.5%
(-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
Results
40.0ms256×0valid
Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (74.8% of total)
ival-sub: 2.0ms (9.4% of total)
ival-add: 2.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.5%)

Counts
10 → 204
Calls
Call 1
Inputs
#<alt (* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))>
#<alt (- (* (* x.re x.re) 3) (* x.im x.im))>
#<alt (* (* x.re x.re) 3)>
#<alt (* x.re x.re)>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (* x.im x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>
Outputs
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
Calls

51 calls:

TimeVariablePointExpression
26.0ms
x.im
@inf
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
2.0ms
x.re
@0
(+ (* x.re x.im) (* x.im x.re))
1.0ms
x.im
@0
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
1.0ms
x.re
@0
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@inf
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite83.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
470×*-lowering-*.f32
470×*-lowering-*.f64
254×+-lowering-+.f64
254×+-lowering-+.f32
218×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
19964
082664
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
10 → 124
Calls
Call 1
Inputs
(* x.im (- (* (* x.re x.re) 3) (* x.im x.im)))
(- (* (* x.re x.re) 3) (* x.im x.im))
(* (* x.re x.re) 3)
(* x.re x.re)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(* x.im x.im)
(- (* x.re x.re) (* x.im x.im))
Outputs
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))
(+.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 (*.f64 x.im x.im) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (/.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))) (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)))) (-.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re x.re)
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)))) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))))))
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(*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))

simplify239.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4114×*-lowering-*.f32
4114×*-lowering-*.f64
1888×fnmadd-define
1578×+-lowering-+.f64
1578×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0771509
12521473
27991461
335891461
088461461
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
Outputs
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
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eval34.0ms (0.4%)

Compiler

Compiled 7649 to 471 computations (93.8% saved)

prune46.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3519360
Fresh000
Picked202
Done000
Total3539362
Accuracy
99.9%
Counts
362 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
▶81.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
64.4%
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶89.3%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶46.6%
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
87.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
▶60.7%
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
46.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Compiler

Compiled 338 to 178 computations (47.3% saved)

simplify200.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓cost-diff384
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
✓cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓cost-diff512
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x.im)
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 x.im (*.f64 x.re x.re))
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
✓cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
✓cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓cost-diff512
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Rules
1752×+-lowering-+.f64
1752×+-lowering-+.f32
1688×*-lowering-*.f32
1688×*-lowering-*.f64
1580×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027172
173172
2164164
3448162
41541160
52488160
65126160
77863160
08009160
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(+ x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(- x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(* 3 (* x.im (* x.re x.re)))
3
(* x.im (* x.re x.re))
x.im
(* x.re x.re)
x.re
(* (* x.im x.im) (- 0 x.im))
(* x.im x.im)
x.im
(- 0 x.im)
0
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (* x.re x.re) x.im)
(* x.re x.re)
x.re
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* (* x.re (+ x.im x.im)) x.re)
(* x.re (+ x.im x.im))
(+ x.im x.im)
Outputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)))
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
x.re
(* (- x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(- x.re x.im)
(-.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(+ (* x.re x.im) (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* 3 (* x.im (* x.re x.re)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
3
#s(literal 3 binary64)
(* x.im (* x.re x.re))
(*.f64 x.im (*.f64 x.re x.re))
x.im
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* (* x.im x.im) (- 0 x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(- 0 x.im)
(-.f64 #s(literal 0 binary64) x.im)
0
#s(literal 0 binary64)
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (* x.re x.re) x.im)
(*.f64 x.im (*.f64 x.re x.re))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(+ (* x.re x.im) (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* x.re x.im)
(*.f64 x.im x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)))
(- (* x.re x.re) (* x.im x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (* x.re (+ x.im x.im)) x.re)
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(* x.re (+ x.im x.im))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))

localize121.0ms (1.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
✓accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy89.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓accuracy100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy99.8%
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓accuracy87.1%
(*.f64 (*.f64 x.re x.re) x.im)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x.im)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.9%
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
✓accuracy87.1%
(*.f64 x.im (*.f64 x.re x.re))
✓accuracy100.0%
(*.f64 (-.f64 x.re x.im) x.im)
✓accuracy99.8%
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy89.4%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
77.0ms256×0valid
Compiler

Compiled 202 to 28 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 25.0ms (56.6% of total)
ival-sub: 11.0ms (24.9% of total)
ival-add: 8.0ms (18.1% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
17 → 360
Calls
Call 1
Inputs
#<alt (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.im x.re) (* (- x.re x.im) x.im))>
#<alt (* 3 (* x.im (* x.re x.re)))>
#<alt (* x.im (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (* (* x.im x.im) (- 0 x.im))>
#<alt (* x.im x.im)>
#<alt (- 0 x.im)>
#<alt (+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (* (* x.re x.re) x.im)>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* (- x.re x.im) x.im)>
#<alt (* (* x.re (+ x.im x.im)) x.re)>
Outputs
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))>
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))>
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))>
#<alt (* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
Calls

90 calls:

TimeVariablePointExpression
9.0ms
x.re
@0
(+ (* x.re x.im) (* x.im x.re))
0.0ms
x.im
@inf
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms
x.re
@-inf
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms
x.im
@0
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms
x.re
@inf
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite439.0ms (5%)

Algorithm
1×batch-egg-rewrite
Rules
3686×/-lowering-/.f32
3686×/-lowering-/.f64
3278×*-lowering-*.f32
3278×*-lowering-*.f64
1934×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027121
118195
2135295
0846295
Stop Event
1×iter limit
1×node limit
Counts
17 → 1286
Calls
Call 1
Inputs
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* (+ x.im x.re) (* (- x.re x.im) x.im))
(* 3 (* x.im (* x.re x.re)))
(* x.im (* x.re x.re))
(* x.re x.re)
(* (* x.im x.im) (- 0 x.im))
(* x.im x.im)
(- 0 x.im)
(+ (* (* x.re x.re) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (* x.re x.re) x.im)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* (- x.re x.im) x.im)
(* (* x.re (+ x.im x.im)) x.re)
Outputs
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x.im (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))) (/.f64 (*.f64 x.im (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))) (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))))
(fma.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.re) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.re) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
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(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(*.f64 (neg.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))))
(*.f64 (*.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(*.f64 (*.f64 #s(literal 0 binary64) x.re) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))))
(*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))))
(*.f64 #s(literal 8 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))
(*.f64 (/.f64 x.re x.im) (/.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im))
(*.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im) (/.f64 x.re x.im))
(*.f64 (/.f64 x.im #s(literal 2 binary64)) (/.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))

simplify210.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2412×*-lowering-*.f32
2412×*-lowering-*.f64
2112×+-lowering-+.f64
2112×+-lowering-+.f32
1298×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01563064
15832708
223512430
082092430
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 x.im (*.f64 x.re x.re))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.re (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 x.re (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re x.re)))))
(* x.im (pow x.re 2))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 x.re (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 x.re (*.f64 x.re (-.f64 x.im (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re x.re)))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* 3 (* x.im (pow x.re 2)))
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(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(- (pow x.re 2) (pow x.im 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* x.im x.re)
(*.f64 x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.re)))

eval275.0ms (3.1%)

Compiler

Compiled 62996 to 3216 computations (94.9% saved)

prune248.0ms (2.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1997102007
Fresh314
Picked415
Done000
Total2004122016
Accuracy
100.0%
Counts
2016 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
7.5%
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 x.im (*.f64 x.im x.im)))
51.4%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶87.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
▶51.6%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶72.7%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
46.6%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
▶51.7%
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
60.7%
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
▶60.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
51.7%
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
✓46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Compiler

Compiled 319 to 186 computations (41.7% saved)

simplify180.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff128
(+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
✓cost-diff384
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
✓cost-diff0
(*.f64 x.im #s(literal 3 binary64))
✓cost-diff0
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
✓cost-diff0
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓cost-diff0
(*.f64 x.re #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.im x.re)
✓cost-diff0
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓cost-diff-64
(neg.f64 x.im)
✓cost-diff-64
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re #s(literal 3 binary64))
✓cost-diff0
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓cost-diff0
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
Rules
1882×fma-lowering-fma.f32
1882×fma-lowering-fma.f64
1610×*-lowering-*.f32
1610×*-lowering-*.f64
1352×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023142
169141
2157136
3395135
41134135
53279135
67035135
08174135
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
x.re
(* x.re 3)
3
(* x.im x.im)
x.im
(* (* x.im x.im) (neg x.im))
(* x.im x.im)
x.im
(neg x.im)
(* (* x.im x.re) (* x.re 3))
(* x.im x.re)
x.im
x.re
(* x.re 3)
3
(* (* (* x.im 3) x.re) x.re)
(* (* x.im 3) x.re)
(* x.im 3)
x.im
3
x.re
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(* x.re x.re)
x.re
(+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
x.im
(* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
(- 2 (/ (/ (* x.im x.im) x.re) x.re))
2
(/ (/ (* x.im x.im) x.re) x.re)
(/ (* x.im x.im) x.re)
(* x.im x.im)
Outputs
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(- (* x.re (* x.re 3)) (* x.im x.im))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* x.re (* x.re 3))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
x.re
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* (* x.im x.im) (neg x.im))
(*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(neg x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* (* x.im x.re) (* x.re 3))
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))
(* x.im x.re)
(*.f64 x.re x.im)
x.im
x.re
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* (* (* x.im 3) x.re) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))
(* (* x.im 3) x.re)
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(* x.im 3)
(*.f64 #s(literal 3 binary64) x.im)
x.im
3
#s(literal 3 binary64)
x.re
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
x.im
(* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(- 2 (/ (/ (* x.im x.im) x.re) x.re))
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
2
#s(literal 2 binary64)
(/ (/ (* x.im x.im) x.re) x.re)
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/ (* x.im x.im) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(* x.im x.im)
(*.f64 x.im x.im)

localize124.0ms (1.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
✓accuracy92.7%
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
✓accuracy92.4%
(/.f64 (*.f64 x.im x.im) x.re)
✓accuracy75.9%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
✓accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
✓accuracy99.7%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓accuracy100.0%
(*.f64 x.re #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x.im x.re)
✓accuracy99.7%
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy99.9%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓accuracy94.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
✓accuracy93.5%
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
Results
62.0ms232×0valid
11.0ms10×3valid
8.0ms7×4valid
4.0ms5×2valid
1.0ms2×1valid
Compiler

Compiled 154 to 24 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 29.0ms (64.9% of total)
ival-div: 6.0ms (13.4% of total)
backward-pass: 3.0ms (6.7% of total)
ival-sub: 3.0ms (6.7% of total)
ival-add: 2.0ms (4.5% of total)
ival-neg: 2.0ms (4.5% of total)
const: 1.0ms (2.2% of total)

series15.0ms (0.2%)

Counts
18 → 348
Calls
Call 1
Inputs
#<alt (* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)>
#<alt (- (* x.re (* x.re 3)) (* x.im x.im))>
#<alt (* x.re (* x.re 3))>
#<alt (* x.re 3)>
#<alt (* x.im x.im)>
#<alt (* (* x.im x.im) (neg x.im))>
#<alt (neg x.im)>
#<alt (* (* x.im x.re) (* x.re 3))>
#<alt (* x.im x.re)>
#<alt (* (* (* x.im 3) x.re) x.re)>
#<alt (* (* x.im 3) x.re)>
#<alt (* x.im 3)>
#<alt (* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))>
#<alt (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))>
#<alt (* x.re x.re)>
#<alt (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))>
#<alt (/ (* x.im x.im) x.re)>
#<alt (/ (/ (* x.im x.im) x.re) x.re)>
Outputs
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 (* x.im x.re))>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 3 x.im)>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* 2 x.im)>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
Calls

87 calls:

TimeVariablePointExpression
2.0ms
x.re
@inf
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)
1.0ms
x.im
@-inf
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
1.0ms
x.im
@0
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
1.0ms
x.re
@0
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
1.0ms
x.im
@inf
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))

rewrite366.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4542×*-lowering-*.f32
4542×*-lowering-*.f64
2584×/-lowering-/.f32
2584×/-lowering-/.f64
2032×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023118
1123114
2905106
08759106
Stop Event
1×iter limit
1×node limit
Counts
18 → 458
Calls
Call 1
Inputs
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
(* x.im x.im)
(* (* x.im x.im) (neg x.im))
(neg x.im)
(* (* x.im x.re) (* x.re 3))
(* x.im x.re)
(* (* (* x.im 3) x.re) x.re)
(* (* x.im 3) x.re)
(* x.im 3)
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(+ x.im (* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
(* x.re x.re)
(* x.im (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
(/ (* x.im x.im) x.re)
(/ (/ (* x.im x.im) x.re) x.re)
Outputs
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) x.im))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)))
(+.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im))
(+.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) x.im))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 x.im (*.f64 x.im x.im)))
(-.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im x.im)))
(fma.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(fma.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(fma.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.im)) x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) (*.f64 (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)) (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (*.f64 (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))) (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))) (-.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(*.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 27 binary64))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))))
(*.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)) x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (neg.f64 (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))))
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(*.f64 (*.f64 (-.f64 #s(literal 8 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 x.re (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))) x.im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 x.re (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))) x.im) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (*.f64 x.im x.im))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re))
(/.f64 x.im (/.f64 x.re x.im))
(/.f64 (*.f64 x.im x.im) x.re)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (/.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))
(*.f64 x.im (/.f64 x.im x.re))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)))
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) x.re))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.im x.im))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re))
(*.f64 (/.f64 x.im x.re) x.im)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im)) (/.f64 x.im x.re))
(*.f64 (/.f64 x.im #s(literal -1 binary64)) (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64)) (/.f64 x.im x.re))
(*.f64 (pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x.im) (/.f64 x.im x.re))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) x.re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.re) x.im) x.im)
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) (*.f64 (log.f64 x.re) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)) #s(literal 1 binary64)))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re) (-.f64 #s(literal 0 binary64) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)))
(/.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.re (*.f64 x.im x.im)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re))))
(/.f64 (/.f64 x.im x.re) (/.f64 x.re x.im))
(/.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(pow.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)) #s(literal -1 binary64))
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re) (/.f64 #s(literal -1 binary64) x.re))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))
(*.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(*.f64 (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)) (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)))
(*.f64 (/.f64 x.im #s(literal -1 binary64)) (/.f64 (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)) x.re))
(*.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x.re) x.re))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1 binary64)) (/.f64 (/.f64 x.im x.re) x.re))
(*.f64 (pow.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x.re (/.f64 (*.f64 x.im x.im) x.re)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x.im) (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 #s(literal 1 binary64) x.im) (/.f64 (/.f64 x.im x.re) x.re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.re) x.im) (/.f64 x.im x.re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal 1 binary64)) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.im x.re)) x.im)

simplify357.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
4728×*-lowering-*.f32
4728×*-lowering-*.f64
1922×/-lowering-/.f32
1922×/-lowering-/.f64
1182×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0702367
12232292
26962271
327292271
083352271
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* 3 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* 2 x.im)
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
Outputs
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re (/.f64 x.re x.im))) x.im)))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
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(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(*.f64 (/.f64 x.im x.re) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.re))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(*.f64 (/.f64 x.im x.re) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.re))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(*.f64 (/.f64 x.im x.re) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.re))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(* 2 x.im)
(*.f64 x.im #s(literal 2 binary64))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))))
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(/ (pow x.im 2) (pow x.re 2))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))

eval97.0ms (1.1%)

Compiler

Compiled 19687 to 1639 computations (91.7% saved)

prune118.0ms (1.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New8677874
Fresh426
Picked145
Done011
Total87214886
Accuracy
100.0%
Counts
886 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) x.im)))
▶87.6%
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓87.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
72.5%
(*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) (*.f64 x.im (*.f64 x.re x.re)))
✓51.6%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
46.6%
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
▶72.7%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
▶75.4%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
66.4%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))))
✓51.7%
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
▶60.7%
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
✓60.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
▶51.7%
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
✓46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Compiler

Compiled 334 to 209 computations (37.4% saved)

simplify195.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff128
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
✓cost-diff256
(+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
✓cost-diff256
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
✓cost-diff0
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff128
(+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re))))
✓cost-diff128
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
✓cost-diff256
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
✓cost-diff0
(*.f64 x.im x.re)
✓cost-diff0
(*.f64 (*.f64 x.im x.re) x.re)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
✓cost-diff0
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓cost-diff0
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓cost-diff128
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
Rules
1868×fma-define
1792×fnmadd-define
1782×fma-lowering-fma.f32
1782×fma-lowering-fma.f64
1752×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034233
197228
2266217
3673213
42121213
55195213
08149213
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x.im (/ 1 (- (* x.re (* x.re 3)) (* x.im x.im))))
x.im
(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
1
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
x.re
(* x.re 3)
3
(* x.im x.im)
(* 3 (* (* x.im x.re) x.re))
3
(* (* x.im x.re) x.re)
(* x.im x.re)
x.im
x.re
(* (* x.im x.im) (/ 1 (/ 1 (- 0 x.im))))
(* x.im x.im)
x.im
(/ 1 (/ 1 (- 0 x.im)))
1
(/ 1 (- 0 x.im))
(- 0 x.im)
0
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))))
(* x.re x.re)
x.re
(+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re))))
x.im
(* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))
(- 2 (/ (/ x.im (/ x.re x.im)) x.re))
2
(/ (/ x.im (/ x.re x.im)) x.re)
(/ x.im (/ x.re x.im))
(/ x.re x.im)
(* (* x.re x.re) (+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
(* x.re x.re)
x.re
(+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
x.im
(/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
1
(- 2 (/ (/ (* x.im x.im) x.re) x.re))
2
(/ (/ (* x.im x.im) x.re) x.re)
(/ (* x.im x.im) x.re)
(* x.im x.im)
Outputs
(/ x.im (/ 1 (- (* x.re (* x.re 3)) (* x.im x.im))))
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
x.im
(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
1
#s(literal 1 binary64)
(- (* x.re (* x.re 3)) (* x.im x.im))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(* x.re (* x.re 3))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
x.re
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
(* 3 (* (* x.im x.re) x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
3
#s(literal 3 binary64)
(* (* x.im x.re) x.re)
(*.f64 x.im (*.f64 x.re x.re))
(* x.im x.re)
(*.f64 x.im x.re)
x.im
x.re
(* (* x.im x.im) (/ 1 (/ 1 (- 0 x.im))))
(*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(/ 1 (/ 1 (- 0 x.im)))
(-.f64 #s(literal 0 binary64) x.im)
1
#s(literal 1 binary64)
(/ 1 (- 0 x.im))
(/.f64 #s(literal -1 binary64) x.im)
(- 0 x.im)
(-.f64 #s(literal 0 binary64) x.im)
0
#s(literal 0 binary64)
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))))
(*.f64 (*.f64 x.im (*.f64 x.re x.re)) (-.f64 #s(literal 3 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re))))
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
x.im
(* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(- 2 (/ (/ x.im (/ x.re x.im)) x.re))
(-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))
2
#s(literal 2 binary64)
(/ (/ x.im (/ x.re x.im)) x.re)
(/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))
(/ x.im (/ x.re x.im))
(/.f64 (*.f64 x.im x.im) x.re)
(/ x.re x.im)
(/.f64 x.re x.im)
(* (* x.re x.re) (+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
(*.f64 (*.f64 x.im (*.f64 x.re x.re)) (-.f64 #s(literal 3 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
x.im
(/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
1
#s(literal 1 binary64)
(- 2 (/ (/ (* x.im x.im) x.re) x.re))
(-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))
2
#s(literal 2 binary64)
(/ (/ (* x.im x.im) x.re) x.re)
(/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))
(/ (* x.im x.im) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(* x.im x.im)
(*.f64 x.im x.im)

localize194.0ms (2.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))
✓accuracy92.7%
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
✓accuracy92.4%
(/.f64 (*.f64 x.im x.im) x.re)
✓accuracy75.9%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
✓accuracy99.8%
(/.f64 x.im (/.f64 x.re x.im))
✓accuracy99.6%
(*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))
✓accuracy92.7%
(/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)
✓accuracy75.9%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x.im)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.9%
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im)))
✓accuracy100.0%
(*.f64 x.im x.re)
✓accuracy99.8%
(*.f64 (*.f64 x.im x.re) x.re)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓accuracy95.0%
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓accuracy93.5%
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
Results
88.0ms232×0valid
17.0ms10×3valid
12.0ms7×4valid
5.0ms5×2valid
1.0ms2×1valid
Compiler

Compiled 261 to 35 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 30.0ms (42.9% of total)
ival-div: 25.0ms (35.7% of total)
ival-sub: 6.0ms (8.6% of total)
backward-pass: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)

series12.0ms (0.1%)

Counts
24 → 492
Calls
Call 1
Inputs
#<alt (/ x.im (/ 1 (- (* x.re (* x.re 3)) (* x.im x.im))))>
#<alt (/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (- (* x.re (* x.re 3)) (* x.im x.im))>
#<alt (* x.re (* x.re 3))>
#<alt (* 3 (* (* x.im x.re) x.re))>
#<alt (* (* x.im x.re) x.re)>
#<alt (* x.im x.re)>
#<alt (* (* x.im x.im) (/ 1 (/ 1 (- 0 x.im))))>
#<alt (/ 1 (/ 1 (- 0 x.im)))>
#<alt (/ 1 (- 0 x.im))>
#<alt (* x.im x.im)>
#<alt (* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))))>
#<alt (+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re))))>
#<alt (* x.re x.re)>
#<alt (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))>
#<alt (* (* x.re x.re) (+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))>
#<alt (+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))>
#<alt (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))>
#<alt (- 0 x.im)>
#<alt (/ (/ x.im (/ x.re x.im)) x.re)>
#<alt (/ x.im (/ x.re x.im))>
#<alt (/ (* x.im x.im) x.re)>
#<alt (/ (/ (* x.im x.im) x.re) x.re)>
#<alt (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))>
Outputs
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (/ -1 (pow x.im 2))>
#<alt (- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (/ -1 x.im)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 3 x.im)>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* 2 x.im)>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 3 x.im)>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (* 2 x.im))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))>
#<alt (* 2 x.im)>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))>
#<alt (* -1 (/ (pow x.im 3) (pow x.re 2)))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (* 2 x.im)>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) x.re)>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt (/ (pow x.im 2) (pow x.re 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (+ 1/2 (* (pow x.im 2) (+ (* 1/8 (/ (pow x.im 2) (pow x.re 4))) (* 1/4 (/ 1 (pow x.re 2))))))>
#<alt (+ 1/2 (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/16 (/ (pow x.im 2) (pow x.re 6))) (* 1/8 (/ 1 (pow x.re 4))))) (* 1/4 (/ 1 (pow x.re 2))))))>
#<alt (* -1 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))>
#<alt (/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))>
#<alt (* -1 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))>
#<alt (/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))>
#<alt (* -1 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* (pow x.re 2) (- (* -2 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))>
#<alt (* (pow x.re 2) (- (* (pow x.re 2) (- (* -4 (/ (pow x.re 2) (pow x.im 6))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))>
#<alt (* (pow x.re 2) (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -8 (/ (pow x.re 2) (pow x.im 8))) (* 4 (/ 1 (pow x.im 6))))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))>
Calls

123 calls:

TimeVariablePointExpression
0.0ms
x.re
@inf
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
0.0ms
x.re
@0
(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
0.0ms
x.im
@0
(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
0.0ms
x.im
@inf
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
0.0ms
x.re
@0
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))

rewrite365.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4486×*-lowering-*.f32
4486×*-lowering-*.f64
2782×/-lowering-/.f32
2782×/-lowering-/.f64
2150×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034183
1241176
22108158
08556158
Stop Event
1×iter limit
1×node limit
Counts
24 → 1243
Calls
Call 1
Inputs
(/ x.im (/ 1 (- (* x.re (* x.re 3)) (* x.im x.im))))
(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
(- (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* 3 (* (* x.im x.re) x.re))
(* (* x.im x.re) x.re)
(* x.im x.re)
(* (* x.im x.im) (/ 1 (/ 1 (- 0 x.im))))
(/ 1 (/ 1 (- 0 x.im)))
(/ 1 (- 0 x.im))
(* x.im x.im)
(* (* x.re x.re) (+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))))
(+ x.im (* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re))))
(* x.re x.re)
(* x.im (- 2 (/ (/ x.im (/ x.re x.im)) x.re)))
(* (* x.re x.re) (+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))))
(+ x.im (/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))))
(/ x.im (/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re))))
(- 0 x.im)
(/ (/ x.im (/ x.re x.im)) x.re)
(/ x.im (/ x.re x.im))
(/ (* x.im x.im) x.re)
(/ (/ (* x.im x.im) x.re) x.re)
(/ 1 (- 2 (/ (/ (* x.im x.im) x.re) x.re)))
Outputs
(+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(+.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))) (/.f64 x.im (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
(fma.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(fma.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.im (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)) x.im (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))))
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(/.f64 (neg.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))) (neg.f64 (-.f64 #s(literal 0 binary64) x.re)))
(pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) (/.f64 #s(literal -1 binary64) x.im)) #s(literal -1 binary64))
(*.f64 x.im (/.f64 x.im x.re))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.re)))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 1 binary64) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im))))
(*.f64 (/.f64 x.im x.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.im x.im))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) #s(literal -1 binary64)))
(*.f64 (/.f64 x.im (-.f64 #s(literal 0 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.im))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) (*.f64 (log.f64 x.re) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) #s(literal 1 binary64)))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)
(/.f64 (/.f64 (*.f64 x.im x.im) x.re) (neg.f64 (-.f64 #s(literal 0 binary64) x.re)))
(/.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (*.f64 x.re (-.f64 #s(literal 0 binary64) x.re)))
(/.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) (neg.f64 (*.f64 x.re x.re)))
(/.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) x.im) (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (-.f64 #s(literal 0 binary64) x.re))
(/.f64 (/.f64 x.im x.re) (/.f64 x.re x.im))
(/.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x.re) x.re))
(/.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) x.re)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im)))
(pow.f64 (/.f64 x.re x.im) #s(literal -2 binary64))
(pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (/.f64 (/.f64 x.im x.re) x.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re))
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.im x.im) x.re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.re)))
(*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im))) (/.f64 #s(literal 1 binary64) (/.f64 x.re (-.f64 #s(literal 0 binary64) x.im))))
(*.f64 (pow.f64 (/.f64 x.re (*.f64 x.im (-.f64 #s(literal 0 binary64) x.im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.re)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))) (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))))
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))))) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)) (+.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)) (+.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 (*.f64 x.re x.re) x.im))))) (+.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 (*.f64 x.re x.re) x.im))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x.im (/.f64 (*.f64 x.re x.re) x.im)))) #s(literal -1 binary64)))

simplify287.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
5076×*-lowering-*.f32
5076×*-lowering-*.f64
1512×fma-define
1496×fma-lowering-fma.f32
1496×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02264254
17064149
222234075
375694075
081614075
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(/ -1 x.im)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* 3 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* 2 x.im)
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* 3 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im)))) (pow x.re 2))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (* 2 x.im))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im)))
(* 2 x.im)
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ 2 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 2 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 2 (/ 1 (pow x.im 2))))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 2 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(* 2 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) x.re)
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
(/ (pow x.im 2) (pow x.re 2))
1/2
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(+ 1/2 (* (pow x.im 2) (+ (* 1/8 (/ (pow x.im 2) (pow x.re 4))) (* 1/4 (/ 1 (pow x.re 2))))))
(+ 1/2 (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/16 (/ (pow x.im 2) (pow x.re 6))) (* 1/8 (/ 1 (pow x.re 4))))) (* 1/4 (/ 1 (pow x.re 2))))))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))
(/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))
(/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* -2 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(* (pow x.re 2) (- (* (pow x.re 2) (- (* -4 (/ (pow x.re 2) (pow x.im 6))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))
(* (pow x.re 2) (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -8 (/ (pow x.re 2) (pow x.im 8))) (* 4 (/ 1 (pow x.im 6))))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))
1/2
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))
(- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))
1/2
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))
(- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))
Outputs
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 x.im (*.f64 x.re (*.f64 x.re (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))))
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(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.im 2) (pow x.re 2))
(/.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(+ 1/2 (* (pow x.im 2) (+ (* 1/8 (/ (pow x.im 2) (pow x.re 4))) (* 1/4 (/ 1 (pow x.re 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/8 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re))))))
(+ 1/2 (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/16 (/ (pow x.im 2) (pow x.re 6))) (* 1/8 (/ 1 (pow x.re 4))))) (* 1/4 (/ 1 (pow x.re 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x.im x.im) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/16 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))))))))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal -8 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 x.re x.re)))) (*.f64 x.im x.im))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/ (+ (* -2 (/ (pow x.re 4) (pow x.im 2))) (* -1 (pow x.re 2))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(/ (- (+ (* -4 (/ (pow x.re 6) (pow x.im 4))) (* -1 (pow x.re 2))) (* 2 (/ (pow x.re 4) (pow x.im 2)))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(/ (- (+ (* -8 (/ (pow x.re 8) (pow x.im 6))) (* -1 (pow x.re 2))) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (* 4 (/ (pow x.re 6) (pow x.im 4))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (/.f64 #s(literal -2 binary64) x.im)) x.im) (+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal -4 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) #s(literal -8 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 x.re x.re)))) (*.f64 x.im x.im))
(* -1 (/ (pow x.re 2) (pow x.im 2)))
(/.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* (pow x.re 2) (- (* -2 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal -2 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))
(* (pow x.re 2) (- (* (pow x.re 2) (- (* -4 (/ (pow x.re 2) (pow x.im 6))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))
(*.f64 (*.f64 x.re x.re) (+.f64 (*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -4 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
(* (pow x.re 2) (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -8 (/ (pow x.re 2) (pow x.im 8))) (* 4 (/ 1 (pow x.im 6))))) (* 2 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2))))
(*.f64 (*.f64 x.re x.re) (+.f64 (*.f64 x.re (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.re (+.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal -8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x.im #s(literal 6 binary64)))))) (/.f64 #s(literal -2 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/8 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re))))))
(- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/8 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 (/ (pow x.im 2) (pow x.re 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(- (+ 1/2 (* 1/8 (/ (pow x.im 4) (pow x.re 4)))) (* -1/4 (/ (pow x.im 2) (pow x.re 2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/8 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re))))))
(- (+ 1/2 (* 1/16 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/4 (/ (pow x.im 2) (pow x.re 2))) (* -1/8 (/ (pow x.im 4) (pow x.re 4)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im (*.f64 x.im (+.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 1/8 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x.re x.re))))))

eval243.0ms (2.8%)

Compiler

Compiled 55604 to 3655 computations (93.4% saved)

prune230.0ms (2.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New182231825
Fresh134
Picked325
Done055
Total1826131839
Accuracy
100.0%
Counts
1839 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
46.5%
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
87.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
✓87.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
72.5%
(*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) (*.f64 x.im (*.f64 x.re x.re)))
✓51.6%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
46.6%
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
✓72.7%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
✓75.4%
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
66.4%
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))))
✓51.7%
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓60.7%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓46.6%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Compiler

Compiled 609 to 226 computations (62.9% saved)

regimes29.0ms (0.3%)

Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) (*.f64 x.im (*.f64 x.re x.re)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.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 x.re x.re) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) x.im)))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 x.im x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 27 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) x.im) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64)) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
Calls

3 calls:

10.0ms
x.im
9.0ms
x.re
8.0ms
(+.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))
Results
AccuracySegmentsBranch
95.6%2x.re
96.7%2x.im
99.8%2(+.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))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes17.0ms (0.2%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
(/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im (*.f64 x.re x.re))))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re)))))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re)))))
(*.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re) #s(literal 1 binary64))) (*.f64 x.im (*.f64 x.re x.re)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re x.re) (+.f64 x.im (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))))
Outputs
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
Calls

2 calls:

9.0ms
x.re
7.0ms
x.im
Results
AccuracySegmentsBranch
95.6%2x.re
96.4%3x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
Outputs
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
Calls

1 calls:

5.0ms
x.re
Results
AccuracySegmentsBranch
95.5%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
Outputs
(*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

2 calls:

4.0ms
x.im
4.0ms
x.re
Results
AccuracySegmentsBranch
82.7%2x.im
81.6%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

1 calls:

2.0ms
x.im
Results
AccuracySegmentsBranch
82.7%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

2 calls:

2.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
76.5%2x.re
77.6%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Outputs
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

2 calls:

2.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
60.7%1x.re
60.7%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.151671062046722e+152
5.850907526425102e+158
Results
13.0ms144×0valid
Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (77.2% of total)
ival-sub: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.151671062046722e+152
5.850907526425102e+158
Results
14.0ms144×0valid
Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.8% of total)
ival-sub: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.61013498977415e+83
2.081171935763058e+83
Results
6.0ms48×0valid
Compiler

Compiled 83 to 54 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (70.9% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.61013498977415e+83
2.081171935763058e+83
Results
4.0ms48×0valid
Compiler

Compiled 83 to 54 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (71.9% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.61013498977415e+83
2.081171935763058e+83
Results
4.0ms48×0valid
Compiler

Compiled 83 to 54 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (71.4% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
52×*-commutative_binary64
34×+-commutative_binary64
24×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051159
191159
2112159
3127159
4138159
5142159
6143159
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.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)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re))))))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Outputs
(if (<=.f64 (+.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)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re))))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (+.f64 (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re x.re) (+.f64 x.im (*.f64 x.im (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 x.im (/.f64 x.re x.im)) x.re))))))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
(if (<=.f64 x.re #s(literal 7500000000000000649248019499787427018610674511040337928006460586019754608633396678399700346338792988594701780712370067596163814920463155098000678186909696 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 164999999999999992277124766212713487315259420278286951493404477007761147206482001920 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))

soundness2.0s (23.4%)

Rules
4542×*-lowering-*.f32
4542×*-lowering-*.f64
4114×*-lowering-*.f32
4114×*-lowering-*.f64
3686×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01563064
15832708
223512430
082092430
01116
12815
26415
317711
447710
5204910
6326810
7764310
0810110
0771509
12521473
27991461
335891461
088461461
023118
1123114
2905106
08759106
01573
19964
082664
027121
118195
2135295
0846295
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 533 to 280 computations (47.5% saved)

preprocess83.0ms (0.9%)

Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 890 to 354 computations (60.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...