math.cube on complex, imaginary part

Time bar (total: 7.8s)

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 (14.6%)

Results
836.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 618.0ms
ival-mult: 468.0ms (75.7% of total)
ival-add: 96.0ms (15.5% of total)
ival-sub: 45.0ms (7.3% of total)
const: 7.0ms (1.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess277.0ms (3.5%)

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)

explain134.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-0-(+.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))
250-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
120-0-(*.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
77.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 23.0ms (73.8% of total)
ival-add: 5.0ms (16.1% of total)
ival-sub: 3.0ms (9.6% of total)
const: 1.0ms (3.2% 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
▶79.8%
(+.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))
▶85.7%
(*.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)

simplify199.0ms (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)

localize75.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy95.4%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy91.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy89.0%
(+.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))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
✓accuracy95.5%
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
✓accuracy91.2%
(-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))
Results
53.0ms256×0valid
Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 29.0ms (83.8% of total)
ival-sub: 3.0ms (8.7% of total)
ival-add: 2.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

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

rewrite92.0ms (1.2%)

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))

simplify293.0ms (3.8%)

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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eval68.0ms (0.9%)

Compiler

Compiled 7649 to 471 computations (93.8% saved)

prune26.0ms (0.3%)

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
▶34.3%
(/.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)))
34.4%
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
61.4%
(+.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))
▶88.9%
(+.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))
▶53.6%
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
85.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
▶57.6%
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
53.6%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶53.5%
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
Compiler

Compiled 330 to 178 computations (46.1% saved)

simplify229.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64))
✓cost-diff0
(-.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))))
✓cost-diff0
(*.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)
✓cost-diff0
(/.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)))
✓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
2444×fnmadd-define
2084×+-lowering-+.f64
2084×+-lowering-+.f32
1786×*-lowering-*.f32
1786×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032232
185207
2218197
3552196
41890196
53585191
66449191
08332191
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.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im))))
(* (* (* x.re x.re) (* x.re x.re)) 9)
(* (* x.re x.re) (* x.re x.re))
(* x.re x.re)
x.re
9
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
3
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 x.re (*.f64 x.re #s(literal 3 binary64))) (*.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 x.re (*.f64 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 #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 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 #s(literal 3 binary64) (*.f64 x.im (*.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 x.re (*.f64 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.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(/.f64 (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))
(- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im))))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(* (* (* x.re x.re) (* x.re x.re)) 9)
(*.f64 x.re (*.f64 x.re (*.f64 (*.f64 x.re x.re) #s(literal 9 binary64))))
(* (* x.re x.re) (* x.re x.re))
(*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
9
#s(literal 9 binary64)
(* x.im (* x.im (* x.im x.im)))
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
x.im
(* x.im (* x.im x.im))
(*.f64 x.im (*.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(+.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(* x.re (* x.re 3))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize174.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓accuracy95.9%
(*.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)
✓accuracy83.4%
(-.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))))
✓accuracy42.5%
(/.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)))
✓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))
✓accuracy90.5%
(*.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)))
✓accuracy90.5%
(*.f64 x.im (*.f64 x.re x.re))
✓accuracy100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓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)
✓accuracy89.0%
(+.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
116.0ms256×0valid
Compiler

Compiled 266 to 33 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 39.0ms (54.3% of total)
ival-sub: 24.0ms (33.4% of total)
ival-add: 7.0ms (9.7% of total)
ival-div: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.5%)

Counts
17 → 336
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.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im)>
#<alt (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im))))>
#<alt (* (* (* x.re x.re) (* x.re x.re)) 9)>
#<alt (* x.re (* x.re 3))>
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)) (* 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 5))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* -1 (pow x.im 5))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* -1 (pow x.im 5))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<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))>
Calls

84 calls:

TimeVariablePointExpression
19.0ms
x.re
@0
(+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@-inf
(/ (* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms
x.im
@0
(/ (* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms
x.re
@0
(/ (* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
1.0ms
x.re
@inf
(/ (* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))

rewrite436.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
3316×/-lowering-/.f32
3316×/-lowering-/.f64
3126×*-lowering-*.f32
3126×*-lowering-*.f64
1916×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032145
1194105
21664104
08410104
Stop Event
1×iter limit
1×node limit
Counts
17 → 539
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.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* (* x.re x.re) (* x.re x.re)) 9) (* x.im (* x.im (* x.im x.im))))
(* (* (* x.re x.re) (* x.re x.re)) 9)
(* x.re (* x.re 3))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re 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 x.im (-.f64 x.re x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re 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 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 x.im (-.f64 x.re x.im))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (/.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 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))))) (/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)))) (-.f64 (*.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 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 x.im (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.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 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 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 (*.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 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 729 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 729 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 729 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 729 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 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 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 729 binary64))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.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 (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.im x.im) (*.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 x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 x.re (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))))
(*.f64 x.re (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 9 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 9 binary64))) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 #s(literal 9 binary64) x.re) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.re (*.f64 x.re x.re))) x.re)
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)

simplify224.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
3660×*-lowering-*.f32
3660×*-lowering-*.f64
1854×+-lowering-+.f64
1854×+-lowering-+.f32
1076×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01622779
15842539
222372291
081982291
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
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)) (* 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 5))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(* 9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* 9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* 9 (* x.im (pow x.re 4)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* -1 (pow x.im 5))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 5))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 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))
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 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(*.f64 x.im (-.f64 #s(literal 0 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 x.im (*.f64 (*.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 x.im (*.f64 (*.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 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(*.f64 x.im (-.f64 #s(literal 0 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 x.im (*.f64 (*.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 x.im (*.f64 (*.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 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(*.f64 x.im (-.f64 #s(literal 0 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)))
(+ (* -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 #s(literal 3 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 #s(literal 3 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 #s(literal 3 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 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(* 2 (* x.im x.re))
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(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (*.f64 x.im x.im) x.re) x.re))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (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 (+ (* -1 (pow x.im 2)) (* 3 (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 (+ (* -1 (pow x.im 2)) (* 3 (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 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (*.f64 (*.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) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (*.f64 (*.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) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 x.im (*.f64 (*.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 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (*.f64 (*.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 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (*.f64 (*.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 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 x.im (*.f64 (*.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 5))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* 9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 x.im #s(literal 9 binary64)) (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* 9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (pow x.im 5))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 5))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))

eval217.0ms (2.8%)

Compiler

Compiled 34690 to 2209 computations (93.6% saved)

prune108.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1125101135
Fresh314
Picked505
Done000
Total1133111144
Accuracy
100.0%
Counts
1144 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
15.1%
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))))))
▶34.4%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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)))
53.0%
(/.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))))
20.2%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.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)))))
▶85.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
57.9%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
▶57.6%
(*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))))
▶57.6%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
▶57.9%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
53.6%
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
Compiler

Compiled 416 to 228 computations (45.2% saved)

simplify191.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64)))
✓cost-diff0
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
✓cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)
✓cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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)))
✓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 #s(literal 3 binary64) (*.f64 x.im x.re))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓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
2248×sum3-define
2054×*-lowering-*.f32
2054×*-lowering-*.f64
1774×fnmadd-define
1420×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030173
191157
2218157
3436157
41187157
52340157
65119157
08128157
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)
(* (* 3 (* x.im x.re)) x.re)
(* 3 (* x.im x.re))
3
(* 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.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re x.re)) (* x.re 9))
(* x.re (* x.re x.re))
x.re
(* x.re x.re)
(* x.re 9)
9
(* x.im (* x.im (* x.im x.im)))
x.im
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(* x.re (* x.re 3))
(* x.re 3)
3
Outputs
(* (- (* x.re (* x.re 3)) (* x.im x.im)) x.im)
(*.f64 x.im (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(- (* x.re (* x.re 3)) (* x.im x.im))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* x.re (* x.re 3))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
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 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(neg x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* (* 3 (* x.im x.re)) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re x.im)))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.im))
3
#s(literal 3 binary64)
(* x.im x.re)
(*.f64 x.re x.im)
x.im
x.re
(* (* x.im x.im) (/ 1 (/ 1 (- 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
(/ 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.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))
(* (- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im)
(*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))
(- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im))))
(-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(* (* x.re (* x.re x.re)) (* x.re 9))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64))))
(* x.re (* x.re x.re))
(*.f64 x.re (*.f64 x.re x.re))
x.re
(* x.re x.re)
(*.f64 x.re x.re)
(* x.re 9)
(*.f64 x.re #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* x.im (* x.im (* x.im x.im)))
(*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))
x.im
(* x.im (* x.im x.im))
(*.f64 x.im (*.f64 x.im x.im))
(* x.im x.im)
(*.f64 x.im x.im)
(+ (* x.re (* x.re 3)) (* x.im x.im))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im))
(* x.re (* x.re 3))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(* x.re 3)
(*.f64 x.re #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize152.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
✓accuracy95.9%
(*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im)
✓accuracy83.4%
(-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
✓accuracy42.5%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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)))
✓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))))
✓accuracy99.8%
(/.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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
✓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)))
✓accuracy95.5%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
✓accuracy91.2%
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
Results
84.0ms256×0valid
Compiler

Compiled 220 to 31 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 30.0ms (71.1% of total)
ival-div: 5.0ms (11.8% of total)
ival-sub: 4.0ms (9.5% of total)
ival-add: 1.0ms (2.4% of total)
const: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.3%)

Counts
18 → 312
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 (* (* 3 (* x.im x.re)) x.re)>
#<alt (* 3 (* x.im 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.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))>
#<alt (* (- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im)>
#<alt (- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im))))>
#<alt (* (* x.re (* x.re x.re)) (* x.re 9))>
#<alt (- 0 x.im)>
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 (* 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 (* 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 (* -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 5))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))>
#<alt (* -1 (pow x.im 5))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* -1 (pow x.im 5))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))>
#<alt (* -1 (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (- (* 9 (pow x.re 4)) (pow x.im 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* 9 (pow x.re 4))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* -1 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<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)>
Calls

78 calls:

TimeVariablePointExpression
4.0ms
x.im
@0
(* 3 (* x.im x.re))
0.0ms
x.re
@-inf
(* x.re 3)
0.0ms
x.re
@0
(* 3 (* x.im x.re))
0.0ms
x.re
@0
(* x.re 3)
0.0ms
x.im
@0
(/ 1 (/ 1 (- 0 x.im)))

rewrite336.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3160×*-lowering-*.f32
3160×*-lowering-*.f64
2866×/-lowering-/.f32
2866×/-lowering-/.f64
2038×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030104
116194
2116594
0827194
Stop Event
1×iter limit
1×node limit
Counts
18 → 1018
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)
(* (* 3 (* x.im x.re)) x.re)
(* 3 (* x.im 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.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im) (+ (* x.re (* x.re 3)) (* x.im x.im)))
(* (- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im)))) x.im)
(- (* (* x.re (* x.re x.re)) (* x.re 9)) (* x.im (* x.im (* x.im x.im))))
(* (* x.re (* x.re x.re)) (* x.re 9))
(- 0 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 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)))
(+.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)))
(fma.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) 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 (-.f64 #s(literal 0 binary64) (*.f64 x.im 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 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.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 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 #s(literal 1 binary64) (*.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))))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im 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 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im 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 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im 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.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im 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 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (/.f64 x.im (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (/.f64 x.im (+.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 (/.f64 x.im (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))))) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (*.f64 (/.f64 x.im (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))))) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (-.f64 (*.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)) x.im))
(fma.f64 (*.f64 (/.f64 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 x.im x.im)) (*.f64 x.im (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im))))
(fma.f64 (*.f64 (/.f64 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 x.im x.im)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.im x.im)) x.im))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))))))
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(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 81 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 729 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 81 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) #s(literal 81 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))))
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.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 (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (-.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))))))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.re (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 #s(literal 9 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re #s(literal 3 binary64))))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64))))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.re #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) #s(literal 9 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) x.re)
(*.f64 (*.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.re) (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.re x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.re #s(literal 9 binary64)) x.re) (*.f64 x.re x.re))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im))
(+.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x.im)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x.im)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)
(-.f64 (/.f64 #s(literal 0 binary64) x.im) x.im)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) x.im)
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) x.im)
(fma.f64 x.im #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x.im #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 x.im)
(/.f64 x.im #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)))) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im (*.f64 x.im x.im)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (*.f64 x.im x.im))
(/.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im)))))
(/.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im x.im)))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) x.im)
(/.f64 (+.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) #s(literal 0 binary64)) (+.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (+.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.im x.im) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 0 binary64) x.im)) (+.f64 (*.f64 x.im x.im) (*.f64 (/.f64 #s(literal 0 binary64) x.im) x.im))))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x.im) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 #s(literal -1 binary64) x.im)) #s(literal -1/2 binary64))
(*.f64 x.im #s(literal -1 binary64))
(*.f64 x.im (/.f64 x.im (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 x.im (/.f64 (-.f64 #s(literal 0 binary64) 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 x.im) (/.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.im x.im)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im x.im))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))
(*.f64 (*.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im x.im) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (/.f64 x.im (*.f64 x.im x.im)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (/.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.im x.im)) (*.f64 x.im x.im))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x.im) 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 (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x.im (*.f64 x.im x.im)))
(*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) x.im) (/.f64 x.im x.im))
(*.f64 (/.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (*.f64 x.im x.im)) x.im)

simplify217.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3534×*-lowering-*.f32
3534×*-lowering-*.f64
2078×fma-lowering-fma.f32
2078×fma-lowering-fma.f64
1626×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0761989
12231923
26221911
320481893
460351893
083801893
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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)))
(* 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))
(* 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)
(* -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 5))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(+ (* -1 (pow x.im 5)) (* 9 (* x.im (pow x.re 4))))
(* 9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* 9 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(* 9 (* x.im (pow x.re 4)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(* -1 (pow x.im 5))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 5))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(* -1 (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* 9 (pow x.re 4))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* -1 (pow x.im 4))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* -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)
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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re 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 (*.f64 x.re x.re) x.im)) x.im)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
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(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.re 4) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (* 9 x.im)))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* x.im (+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4))))
(-.f64 (*.f64 x.im (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (pow x.im 5))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 5 binary64)))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 5) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 5))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 5 binary64)))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (* (pow x.im 5) (+ 1 (* -9 (/ (pow x.re 4) (pow x.im 4))))))
(*.f64 (pow.f64 x.im #s(literal 5 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(- (* 9 (pow x.re 4)) (pow x.im 4))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow x.re 4) (+ 9 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* 9 (pow x.re 4)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* -1 (pow x.im 4))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* (pow x.im 4) (- (* 9 (/ (pow x.re 4) (pow x.im 4))) 1))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* 9 (pow x.re 4))
(*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))
(* -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)

eval188.0ms (2.4%)

Compiler

Compiled 49213 to 2922 computations (94.1% saved)

prune198.0ms (2.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New166751672
Fresh426
Picked145
Done000
Total1672111683
Accuracy
100.0%
Counts
1683 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
✓34.4%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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)))
▶57.6%
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
▶57.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im)))
57.6%
(*.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (/.f64 x.im x.im))
✓85.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
▶57.6%
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
▶57.9%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓57.6%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
▶53.6%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
✓57.9%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
Compiler

Compiled 203 to 136 computations (33% saved)

simplify33.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(/.f64 #s(literal -1 binary64) x.im)
✓cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x.im)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x.im)
✓cost-diff128
(/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) x.im)
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
✓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)
Rules
380×fma-define
206×*-lowering-*.f32
206×*-lowering-*.f64
190×fma-lowering-fma.f32
190×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02191
15391
211280
319280
433080
557080
694780
797480
8101680
9104980
10119180
11119380
0119380
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (* x.im 3) x.re) x.re)
(* (* x.im 3) x.re)
(* x.im 3)
x.im
3
x.re
(* (* 3 (* x.re x.re)) x.im)
(* 3 (* x.re x.re))
3
(* x.re x.re)
x.re
x.im
(/ (* x.im x.im) (/ -1 x.im))
(* x.im x.im)
x.im
(/ -1 x.im)
-1
(* (- 0 x.im) (/ x.im (/ 1 x.im)))
(- 0 x.im)
0
x.im
(/ x.im (/ 1 x.im))
(/ 1 x.im)
1
(/ 1 (/ (/ -1 x.im) (* x.im x.im)))
1
(/ (/ -1 x.im) (* x.im x.im))
(/ -1 x.im)
-1
x.im
(* x.im x.im)
Outputs
(* (* (* x.im 3) x.re) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* (* x.im 3) x.re)
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))
(* x.im 3)
(*.f64 x.im #s(literal 3 binary64))
x.im
3
#s(literal 3 binary64)
x.re
(* (* 3 (* x.re x.re)) x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.re x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
3
#s(literal 3 binary64)
(* x.re x.re)
(*.f64 x.re x.re)
x.re
x.im
(/ (* x.im x.im) (/ -1 x.im))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
-1
#s(literal -1 binary64)
(* (- 0 x.im) (/ x.im (/ 1 x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(- 0 x.im)
(-.f64 #s(literal 0 binary64) x.im)
0
#s(literal 0 binary64)
x.im
(/ x.im (/ 1 x.im))
(*.f64 x.im x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
1
#s(literal 1 binary64)
(/ 1 (/ (/ -1 x.im) (* x.im x.im)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
1
#s(literal 1 binary64)
(/ (/ -1 x.im) (* x.im x.im))
(/.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
-1
#s(literal -1 binary64)
x.im
(* x.im x.im)
(*.f64 x.im x.im)

localize86.0ms (1.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x.im)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im)))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x.im)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x.im)
✓accuracy99.9%
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
✓accuracy99.8%
(/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) x.im)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
✓accuracy90.5%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
✓accuracy100.0%
(*.f64 x.im #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓accuracy99.7%
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
Results
60.0ms256×0valid
Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 14.0ms (48.1% of total)
ival-div: 13.0ms (44.7% of total)
ival-sub: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
15 → 216
Calls
Call 1
Inputs
#<alt (* (* (* x.im 3) x.re) x.re)>
#<alt (* (* x.im 3) x.re)>
#<alt (* x.im 3)>
#<alt (* (* 3 (* x.re x.re)) x.im)>
#<alt (* 3 (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (/ (* x.im x.im) (/ -1 x.im))>
#<alt (* x.im x.im)>
#<alt (/ -1 x.im)>
#<alt (* (- 0 x.im) (/ x.im (/ 1 x.im)))>
#<alt (/ x.im (/ 1 x.im))>
#<alt (- 0 x.im)>
#<alt (/ 1 x.im)>
#<alt (/ 1 (/ (/ -1 x.im) (* x.im x.im)))>
#<alt (/ (/ -1 x.im) (* x.im x.im))>
Outputs
#<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 (* 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 (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))>
#<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 (* -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 (/ 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 (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 (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))>
Calls

54 calls:

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

rewrite165.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1506×*-lowering-*.f32
1506×*-lowering-*.f64
1120×/-lowering-/.f32
1120×/-lowering-/.f64
686×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171
19760
260659
0363159
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 845
Calls
Call 1
Inputs
(* (* (* x.im 3) x.re) x.re)
(* (* x.im 3) x.re)
(* x.im 3)
(* (* 3 (* x.re x.re)) x.im)
(* 3 (* x.re x.re))
(* x.re x.re)
(/ (* x.im x.im) (/ -1 x.im))
(* x.im x.im)
(/ -1 x.im)
(* (- 0 x.im) (/ x.im (/ 1 x.im)))
(/ x.im (/ 1 x.im))
(- 0 x.im)
(/ 1 x.im)
(/ 1 (/ (/ -1 x.im) (* x.im x.im)))
(/ (/ -1 x.im) (* x.im x.im))
Outputs
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(/.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 x.im (*.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) x.re)
(*.f64 (*.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) x.im)
(*.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64)) x.im)
(+.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x.re)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal 0 binary64)) (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x.re)) (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(/.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) x.re) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x.re)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 #s(literal 3 binary64) x.re)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) (-.f64 #s(literal 0 binary64) x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x.re)) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 #s(literal 3 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 #s(literal 3 binary64) x.re)) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))
(*.f64 x.im (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re)
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal 1 binary64)) x.im)
(+.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.im #s(literal 3 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) #s(literal 3 binary64)) (*.f64 x.im x.im))
(*.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x.im))
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(/.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (-.f64 #s(literal 0 binary64) x.im)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 x.im (*.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))) (*.f64 x.im x.im))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im x.im))

simplify40.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
164×fma-define
112×sum3-define
92×*-lowering-*.f32
92×*-lowering-*.f64
86×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020948
139948
268948
384948
496948
5125948
6145948
7186948
8353948
9364948
0364948
Stop Event
1×iter limit
1×saturated
Counts
216 → 216
Calls
Call 1
Inputs
(* 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)
(* 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 (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))
(* -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)
(* -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)
(/ 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 (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 (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))
Outputs
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(* 3 (pow x.re 2))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* -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)))
(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 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) 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)))
(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 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)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) 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 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))
(/ -1 (pow x.im 3))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im))

eval146.0ms (1.9%)

Compiler

Compiled 17682 to 1616 computations (90.9% saved)

prune110.0ms (1.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New122731230
Fresh112
Picked145
Done044
Total1229121241
Accuracy
100.0%
Counts
1241 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
57.6%
(/.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)) (/.f64 #s(literal -1 binary64) x.im))
✓34.4%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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)))
✓57.6%
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
57.6%
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
✓57.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im)))
✓85.7%
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)) x.im)
✓57.9%
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓57.6%
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
✓53.6%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
✓57.9%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
57.6%
(*.f64 (neg.f64 x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
Compiler

Compiled 559 to 191 computations (65.8% saved)

regimes27.0ms (0.3%)

Counts
29 → 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 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 x.im x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 x.im (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im x.im) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 (neg.f64 x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (*.f64 x.im x.im)))
(/.f64 (/.f64 x.im (/.f64 #s(literal 1 binary64) 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 (/.f64 x.im (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))) (/.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im 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 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 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 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 (*.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 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.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 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 #s(literal 1 binary64) (/.f64 (*.f64 x.im x.im) (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re #s(literal 9 binary64)))) (*.f64 x.im (*.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)))))
(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.im x.im) (neg.f64 x.im))
Calls

3 calls:

9.0ms
x.re
8.0ms
x.im
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
94.8%2x.re
97.1%2x.im
95.1%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)

regimes14.0ms (0.2%)

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

2 calls:

7.0ms
x.re
6.0ms
x.im
Results
AccuracySegmentsBranch
94.8%2x.re
94.4%3x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
x.re
4.0ms
x.im
Results
AccuracySegmentsBranch
84.8%2x.im
83.9%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
84.8%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
4 → 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 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
Outputs
(*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
Calls

2 calls:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
79.6%2x.re
80.4%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (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

1 calls:

2.0ms
x.im
Results
AccuracySegmentsBranch
80.4%2x.im
Compiler

Compiled 3 to 2 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:

1.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
57.6%1x.re
57.6%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.538208230684596e+177
3.049902098301855e+178
Results
9.0ms96×0valid
Compiler

Compiled 212 to 123 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (79.9% of total)
ival-add: 1.0ms (16% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
4.74588017613336e+153
1.1678724434808383e+160
Results
37.0ms144×0valid
Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sub: 25.0ms (76.1% of total)
ival-mult: 6.0ms (18.3% of total)
ival-add: 1.0ms (3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.5138490049688545e+27
6.432668955882851e+32
Results
14.0ms144×0valid
Compiler

Compiled 215 to 150 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (74.8% of total)
ival-sub: 1.0ms (10.7% of total)
ival-add: 1.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.5138490049688545e+27
6.432668955882851e+32
Results
14.0ms144×0valid
Compiler

Compiled 197 to 132 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.1% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.5138490049688545e+27
6.432668955882851e+32
Results
14.0ms144×0valid
Compiler

Compiled 197 to 132 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (71.3% of total)
ival-sub: 1.0ms (11.9% of total)
ival-add: 1.0ms (11.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.5138490049688545e+27
6.432668955882851e+32
Results
12.0ms144×0valid
Compiler

Compiled 197 to 132 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (73.9% of total)
ival-sub: 1.0ms (12.3% of total)
ival-add: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
50×*-commutative_binary64
40×neg-mul-1_binary64
34×unsub-neg_binary64
24×+-commutative_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
050127
185127
2103127
3118127
4128127
5133126
6138126
7165126
8207126
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 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.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.re #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.im #s(literal 15500000000000000343396057088 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re) (*.f64 (neg.f64 x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))))
(if (<=.f64 x.im #s(literal 89999999999999992219467027316736 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 16000000000000000318153997418496 binary64)) (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 184999999999999986790156992512 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 x.im #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 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.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(if (<=.f64 x.re #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.im #s(literal 15500000000000000343396057088 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re) (*.f64 (neg.f64 x.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))))
(if (<=.f64 x.im #s(literal 15500000000000000343396057088 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 x.im (/.f64 x.im (/.f64 #s(literal -1 binary64) x.im))))
(if (<=.f64 x.im #s(literal 89999999999999992219467027316736 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 89999999999999992219467027316736 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im 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 16000000000000000318153997418496 binary64)) (*.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (neg.f64 x.im)))
(if (<=.f64 x.im #s(literal 16000000000000000318153997418496 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re 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 184999999999999986790156992512 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 184999999999999986790156992512 binary64)) (*.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))))
(*.f64 (*.f64 x.im x.im) (neg.f64 x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))

soundness1.8s (23.1%)

Rules
4114×*-lowering-*.f32
4114×*-lowering-*.f64
3316×/-lowering-/.f32
3316×/-lowering-/.f64
3160×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01573
19964
082664
02171
19760
260659
0363159
030104
116194
2116594
0827194
0771509
12521473
27991461
335891461
088461461
032145
1194105
21664104
08410104
01116
12815
26415
317711
447710
5204910
6326810
7764310
0810110
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 505 to 285 computations (43.6% saved)

preprocess151.0ms (1.9%)

Remove

(abs x.re)

Compiler

Compiled 730 to 346 computations (52.6% saved)

end0.0ms (0%)

Profiling

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