math.cube on complex, real part

Time bar (total: 8.5s)

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)

sample1.0s (12%)

Results
768.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 546.0ms
ival-mult: 422.0ms (77.3% of total)
ival-sub: 74.0ms (13.6% of total)
ival-add: 41.0ms (7.5% of total)
const: 6.0ms (1.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess188.0ms (2.2%)

Algorithm
2×egg-herbie
Rules
2018×sum4-define
1664×fma-lowering-fma.f32
1664×fma-lowering-fma.f64
1444×fnmadd-define
1440×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036102
115292
242890
3173566
4788366
01116
13315
28115
326311
491010
5537710
0819310
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
Outputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Call 2
Inputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)))
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))))
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re))
Outputs
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im))
(- (* (* x.re (* x.im x.im)) 3) (pow x.re 3))
(- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im)))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(neg (- (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) (neg x.re)) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) x.im)))
(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
(neg (- (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) x.re) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) (neg x.im))))
(- (* (* x.re (* x.im x.im)) 3) (pow x.re 3))
(- (* (- (* x.im x.im) (* x.re x.re)) x.im) (* (+ (* x.im x.re) (* x.re x.im)) x.re))
(+ (pow x.im 3) (* (* x.re (* x.re x.im)) -3))
Symmetry

(abs x.im)

(negabs x.re)

explain116.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
110-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
80-0-(-.f64 (*.f64 x.re x.re) (*.f64 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.im)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 x.re x.re)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.im)
Results
60.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (73.5% of total)
ival-sub: 5.0ms (17.5% of total)
ival-add: 2.0ms (7% of total)
const: 0.0ms (0% 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
▶87.4%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶90.5%
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify186.0ms (2.2%)

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.re)
✓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.im)
✓cost-diff512
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓cost-diff0
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓cost-diff0
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Rules
2018×sum4-define
1684×fma-lowering-fma.f32
1684×fma-lowering-fma.f64
1456×fnmadd-define
1396×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
14982
212282
332182
496782
5540882
0827182
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
x.re
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* x.re x.re)
(* (* x.im x.im) -3)
(* x.im x.im)
x.im
-3
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (- (* 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.re x.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
Outputs
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
x.re
(+ (* x.re x.re) (* (* x.im x.im) -3))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(* x.re x.re)
(*.f64 x.re x.re)
(* (* x.im x.im) -3)
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
(* x.im x.im)
(*.f64 x.im x.im)
x.im
-3
#s(literal -3 binary64)
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(*.f64 x.re (-.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.im)
(*.f64 x.im (*.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.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)

localize61.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓accuracy97.1%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy96.4%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
✓accuracy97.1%
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
✓accuracy93.7%
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
Results
41.0ms256×0valid
Compiler

Compiled 102 to 16 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (77.2% of total)
ival-sub: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
10 → 204
Calls
Call 1
Inputs
#<alt (* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))>
#<alt (+ (* x.re x.re) (* (* x.im x.im) -3))>
#<alt (* x.re x.re)>
#<alt (* (* x.im x.im) -3)>
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (* x.im x.im)>
#<alt (- (* x.re x.re) (* x.im x.im))>
Outputs
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<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 (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))>
#<alt (pow x.re 3)>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) 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 (* 2 (* x.im x.re))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -1 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (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
8.0ms
x.re
@inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
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.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.re
@0
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
1.0ms
x.re
@-inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite89.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
498×*-lowering-*.f32
498×*-lowering-*.f64
258×+-lowering-+.f64
258×+-lowering-+.f32
220×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
111264
092564
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
10 → 136
Calls
Call 1
Inputs
(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
(+ (* x.re x.re) (* (* x.im x.im) -3))
(* x.re x.re)
(* (* x.im x.im) -3)
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ (* 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.im x.im)
(- (* x.re x.re) (* x.im x.im))
Outputs
(+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 x.re x.re)))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (-.f64 (*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))) (-.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(/.f64 (*.f64 x.re (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64)))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))) (+.f64 (*.f64 x.re x.re) (*.f64 #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.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) x.re) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) x.re)
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))))
(fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 x.im (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64)))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(*.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (-.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))
(*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))))
(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 x.im (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (-.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))))) (+.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))))) (+.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))) (*.f64 (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 x.re (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (neg.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (-.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 x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re x.re) (*.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 x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.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 x.re) (*.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 (*.f64 x.re x.re))) (*.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 x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (-.f64 (*.f64 x.re x.re) (*.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 x.re) (*.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 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))))
(*.f64 (-.f64 (*.f64 x.re (*.f64 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.re x.im) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))

simplify265.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4034×*-lowering-*.f32
4034×*-lowering-*.f64
1846×+-lowering-+.f64
1846×+-lowering-+.f32
1192×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0751410
12411380
27611368
333591368
087601368
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 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)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) 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))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 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)
(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 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
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(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))

eval73.0ms (0.9%)

Compiler

Compiled 7897 to 505 computations (93.6% saved)

prune43.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3648372
Fresh000
Picked202
Done000
Total3668374
Accuracy
99.9%
Counts
374 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
▶87.4%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶95.5%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶39.6%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
90.5%
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
▶57.5%
(*.f64 x.re (*.f64 x.re x.re))
▶50.9%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
57.0%
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
Compiler

Compiled 284 to 158 computations (44.4% saved)

simplify220.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))
✓cost-diff0
(/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))))
✓cost-diff128
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓cost-diff384
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(*.f64 x.re (*.f64 x.re x.re))
✓cost-diff0
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
✓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.im)
✓cost-diff512
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Rules
2972×+-lowering-+.f64
2972×+-lowering-+.f32
2102×*-lowering-*.f32
2102×*-lowering-*.f64
1462×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036257
1116236
2286231
3974223
42896223
57058223
08134223
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(+ x.re x.im)
x.re
x.im
(* (- x.re x.im) x.re)
(- x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
(* x.re (* x.re x.re))
x.re
(* x.re x.re)
(* x.re (* -3 (* x.im x.im)))
x.re
(* -3 (* x.im x.im))
-3
(* x.im x.im)
x.im
(- (* (- (* x.re x.re) (* x.im x.im)) 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.re x.re)
x.re
(* x.im x.im)
x.im
(* (* x.re (+ x.im x.im)) x.im)
(* x.re (+ x.im x.im))
(+ x.im x.im)
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
x.re
(/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))))
1
(/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))
(+ (* x.re x.re) (* 3 (* x.im x.im)))
(* x.re x.re)
(* 3 (* x.im x.im))
3
(* x.im x.im)
x.im
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
(* x.re (* x.re (* x.re x.re)))
(* x.re (* x.re x.re))
(* (* x.im (* x.im (* x.im x.im))) 9)
(* x.im (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
9
Outputs
(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+ x.re x.im)
(+.f64 x.re x.im)
x.re
x.im
(* (- x.re x.im) x.re)
(*.f64 x.re (-.f64 x.re x.im))
(- x.re x.im)
(-.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+ (* x.re x.im) (* x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(* x.re x.im)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* 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 (* -3 (* x.im x.im)))
(*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)))
x.re
(* -3 (* x.im x.im))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(* (- (* x.re x.re) (* x.im x.im)) x.re)
(*.f64 x.re (-.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.im)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(* x.re (+ x.im x.im))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(+ x.im x.im)
(*.f64 x.im #s(literal 2 binary64))
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
(/.f64 x.re (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)))))
x.re
(/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))))
(/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64))) (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))
(/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64))))
(+ (* x.re x.re) (* 3 (* x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal 3 binary64)))
(* x.re x.re)
(*.f64 x.re x.re)
(* 3 (* x.im x.im))
(*.f64 (*.f64 x.im x.im) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
(+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #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 x.re))
(*.f64 x.re (*.f64 x.re x.re))
(* (* x.im (* x.im (* x.im x.im))) 9)
(*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #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))
(*.f64 x.im (*.f64 x.im x.im))
9
#s(literal 9 binary64)

localize161.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))))
✓accuracy93.7%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
✓accuracy91.8%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64)))
✓accuracy30.4%
(/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
✓accuracy97.1%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy96.4%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
✓accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
✓accuracy87.8%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.9%
(*.f64 x.re (*.f64 x.re x.re))
✓accuracy100.0%
(*.f64 (-.f64 x.re x.im) x.re)
✓accuracy99.8%
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
✓accuracy99.7%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓accuracy96.4%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
103.0ms256×0valid
Compiler

Compiled 311 to 37 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 32.0ms (64.6% of total)
ival-sub: 7.0ms (14.1% of total)
ival-div: 5.0ms (10.1% of total)
ival-add: 5.0ms (10.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.3%)

Counts
19 → 408
Calls
Call 1
Inputs
#<alt (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.im)>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.re))>
#<alt (* x.re (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (* x.re (* -3 (* x.im x.im)))>
#<alt (* -3 (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.re)>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))>
#<alt (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))))>
#<alt (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))>
#<alt (+ (* x.re x.re) (* 3 (* x.im x.im)))>
#<alt (* (- x.re x.im) x.re)>
#<alt (* (* x.re (+ x.im x.im)) x.im)>
#<alt (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))>
Outputs
#<alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))>
#<alt (* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))>
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#<alt (pow x.re 2)>
#<alt (+ (* 3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* 3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* 3 (pow x.im 2)) (pow x.re 2))>
#<alt (* 3 (pow x.im 2))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* 3 (pow x.im 2))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (* x.re (+ x.re (* -1 x.im)))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (+ (* -1 (* x.im x.re)) (pow x.re 2))>
#<alt (* -1 (* x.im x.re))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))>
#<alt (* -1 (* x.im x.re))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* 2 (* (pow x.im 2) x.re))>
#<alt (* -9 (pow x.im 4))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (- (pow x.re 4) (* 9 (pow x.im 4)))>
#<alt (pow x.re 4)>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (pow x.re 4)>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))>
#<alt (pow x.re 4)>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (+ (* -9 (pow x.im 4)) (pow x.re 4))>
#<alt (* -9 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* -9 (pow x.im 4))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
#<alt (* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))>
Calls

102 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
2.0ms
x.im
@inf
(* (* x.re (+ x.im x.im)) x.im)
1.0ms
x.re
@0
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
1.0ms
x.im
@inf
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
1.0ms
x.re
@inf
(* x.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))

rewrite623.0ms (7.4%)

Algorithm
1×batch-egg-rewrite
Rules
3722×*-lowering-*.f32
3722×*-lowering-*.f64
2460×/-lowering-/.f32
2460×/-lowering-/.f64
2336×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036185
1260123
21928122
09372122
Stop Event
1×iter limit
1×node limit
Counts
19 → 2321
Calls
Call 1
Inputs
(- (* (+ x.re 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.im)
(+ (* x.re x.im) (* x.im x.re))
(* (+ x.re x.im) (* (- x.re x.im) x.re))
(* x.re (* x.re x.re))
(* x.re x.re)
(* x.re (* -3 (* x.im x.im)))
(* -3 (* x.im x.im))
(* x.im x.im)
(- (* (- (* x.re x.re) (* x.im x.im)) 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.re (/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))))
(/ 1 (/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))))
(/ (+ (* x.re x.re) (* 3 (* x.im x.im))) (- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9)))
(+ (* x.re x.re) (* 3 (* x.im x.im)))
(* (- x.re x.im) x.re)
(* (* x.re (+ x.im x.im)) x.im)
(- (* x.re (* x.re (* x.re x.re))) (* (* x.im (* x.im (* x.im x.im))) 9))
Outputs
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.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.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.re (+.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im #s(literal 2 binary64) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) (+.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.re) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 #s(literal 2 binary64) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.im x.im) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (*.f64 (+.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re x.im))) #s(literal 0 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.im x.im) #s(literal 0 binary64))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
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(fma.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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))) (+.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))
(fma.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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))) (+.f64 (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 9 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))
(/.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)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (-.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64)))) (neg.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)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))))
(/.f64 (neg.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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64)))) (neg.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))) (+.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))) (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))) (*.f64 (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))) (-.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))
(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)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))))) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64)))) (-.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 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)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal 9 binary64))))))

simplify288.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3238×*-lowering-*.f32
3238×*-lowering-*.f64
2182×+-lowering-+.f64
2182×+-lowering-+.f32
1220×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02764447
19193789
231893421
084023421
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) 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))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 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)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -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)
(pow x.im 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(pow x.re 3)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(pow x.re 3)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (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))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(/ -1/3 (pow x.im 2))
(- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ (- (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 27 (/ (pow x.im 6) (pow x.re 6))))) (* -9 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 9 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ (- (+ 1 (+ (* 3 (/ (pow x.im 2) (pow x.re 2))) (* 27 (/ (pow x.im 6) (pow x.re 6))))) (* -9 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/ 1 (pow x.re 2))
(+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (+ (* -1/9 (/ (pow x.re 2) (pow x.im 2))) (* -1/27 (/ (pow x.re 4) (pow x.im 4)))) 1/3) (pow x.im 2))
(/ (- (+ (* -1/9 (/ (pow x.re 2) (pow x.im 2))) (* -1/81 (/ (pow x.re 6) (pow x.im 6)))) (+ 1/3 (* 1/27 (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (+ (* -1/9 (/ (pow x.re 2) (pow x.im 2))) (* -1/27 (/ (pow x.re 4) (pow x.im 4)))) 1/3) (pow x.im 2))
(/ (- (+ (* -1/9 (/ (pow x.re 2) (pow x.im 2))) (* -1/81 (/ (pow x.re 6) (pow x.im 6)))) (+ 1/3 (* 1/27 (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))
(* 3 (pow x.im 2))
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(+ (* 3 (pow x.im 2)) (pow x.re 2))
(* 3 (pow x.im 2))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* 3 (pow x.im 2))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 3 (/ (pow x.re 2) (pow x.im 2))))
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (+ x.re (* -1 x.im)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(pow x.re 2)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(* -1 (* x.im x.re))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* -1 (* x.im x.re))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* 2 (* (pow x.im 2) x.re))
(* -9 (pow x.im 4))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* -9 (pow x.im 4))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
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(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* 2 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(* -9 (pow x.im 4))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(- (pow x.re 4) (* 9 (pow x.im 4)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(* (pow x.re 4) (+ 1 (* -9 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (/.f64 #s(literal -9 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(+ (* -9 (pow x.im 4)) (pow x.re 4))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64)))
(* -9 (pow x.im 4))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))
(* -9 (pow x.im 4))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal -9 binary64))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (+.f64 #s(literal -9 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))

eval372.0ms (4.4%)

Compiler

Compiled 126397 to 5347 computations (95.8% saved)

prune400.0ms (4.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New286482872
Fresh123
Picked325
Done000
Total2868122880
Accuracy
100.0%
Counts
2880 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
▶90.5%
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
57.4%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
▶90.5%
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
57.0%
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
▶50.9%
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
57.0%
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
27.9%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
▶57.5%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
✓57.5%
(*.f64 x.re (*.f64 x.re x.re))
✓50.9%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
▶57.0%
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
Compiler

Compiled 312 to 186 computations (40.4% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
✓cost-diff128
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
✓cost-diff256
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(*.f64 x.re #s(literal -3 binary64))
✓cost-diff0
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.im x.re)
✓cost-diff0
(*.f64 x.im (*.f64 x.im x.re))
✓cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
✓cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
Rules
158×*-lowering-*.f32
158×*-lowering-*.f64
88×/-lowering-/.f32
88×/-lowering-/.f64
70×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019125
150123
294123
3181123
4217123
5250123
6252123
7253123
0253123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ (* x.re x.re) (* -3 (* x.im x.im))) x.re)
(+ (* x.re x.re) (* -3 (* x.im x.im)))
(* x.re x.re)
x.re
(* -3 (* x.im x.im))
-3
(* x.im x.im)
x.im
(* -3 (* x.im (* x.im x.re)))
-3
(* x.im (* x.im x.re))
x.im
(* x.im x.re)
x.re
(* (* x.re -3) (* x.im x.im))
(* x.re -3)
x.re
-3
(* x.im x.im)
x.im
(* x.re (/ 1 (/ 1 (* x.re x.re))))
x.re
(/ 1 (/ 1 (* x.re x.re)))
1
(/ 1 (* x.re x.re))
(* x.re x.re)
(/ x.re (/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im)))))
x.re
(/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im))))
1
(+ (* x.re x.re) (* -3 (* x.im x.im)))
(* x.re x.re)
(* -3 (* x.im x.im))
-3
(* x.im x.im)
x.im
Outputs
(* (+ (* x.re x.re) (* -3 (* x.im x.im))) x.re)
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))))
(+ (* x.re x.re) (* -3 (* x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im)))
(* x.re x.re)
(*.f64 x.re x.re)
x.re
(* -3 (* x.im x.im))
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))
-3
#s(literal -3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* -3 (* x.im (* x.im x.re)))
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im)))
-3
#s(literal -3 binary64)
(* x.im (* x.im x.re))
(*.f64 x.im (*.f64 x.re x.im))
x.im
(* x.im x.re)
(*.f64 x.re x.im)
x.re
(* (* x.re -3) (* x.im x.im))
(*.f64 x.re (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im)))
(* x.re -3)
(*.f64 x.re #s(literal -3 binary64))
x.re
-3
#s(literal -3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im
(* x.re (/ 1 (/ 1 (* x.re x.re))))
(*.f64 x.re (*.f64 x.re x.re))
x.re
(/ 1 (/ 1 (* x.re x.re)))
(*.f64 x.re x.re)
1
#s(literal 1 binary64)
(/ 1 (* x.re x.re))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(* x.re x.re)
(*.f64 x.re x.re)
(/ x.re (/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im)))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))))
x.re
(/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))))
1
#s(literal 1 binary64)
(+ (* x.re x.re) (* -3 (* x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 #s(literal -3 binary64) x.im)))
(* x.re x.re)
(*.f64 x.re x.re)
(* -3 (* x.im x.im))
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))
-3
#s(literal -3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im

localize95.0ms (1.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
✓accuracy97.1%
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓accuracy93.9%
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.9%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
✓accuracy100.0%
(*.f64 x.re #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy87.7%
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓accuracy100.0%
(*.f64 x.im x.re)
✓accuracy99.7%
(*.f64 x.im (*.f64 x.im x.re))
✓accuracy99.7%
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
✓accuracy97.1%
(+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
✓accuracy93.7%
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
Results
60.0ms256×0valid
Compiler

Compiled 145 to 20 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 19.0ms (68.6% of total)
ival-div: 7.0ms (25.3% of total)
ival-add: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
15 → 276
Calls
Call 1
Inputs
#<alt (* (+ (* x.re x.re) (* -3 (* x.im x.im))) x.re)>
#<alt (+ (* x.re x.re) (* -3 (* x.im x.im)))>
#<alt (* x.re x.re)>
#<alt (* -3 (* x.im x.im))>
#<alt (* -3 (* x.im (* x.im x.re)))>
#<alt (* x.im (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* (* x.re -3) (* x.im x.im))>
#<alt (* x.re -3)>
#<alt (* x.im x.im)>
#<alt (* x.re (/ 1 (/ 1 (* x.re x.re))))>
#<alt (/ 1 (/ 1 (* x.re x.re)))>
#<alt (/ 1 (* x.re x.re))>
#<alt (/ x.re (/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im)))))>
#<alt (/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im))))>
Outputs
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (pow x.im 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -3 (pow x.im 2)) (pow x.re 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* -3 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))>
#<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 (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (pow x.im 2))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* (pow x.im 2) x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) 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 (* -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 (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<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.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))>
#<alt (/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))>
Calls

69 calls:

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

rewrite294.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3040×*-lowering-*.f32
3040×*-lowering-*.f64
1872×/-lowering-/.f32
1872×/-lowering-/.f64
1570×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01985
19482
256182
3566382
0802382
Stop Event
1×iter limit
1×node limit
Counts
15 → 605
Calls
Call 1
Inputs
(* (+ (* x.re x.re) (* -3 (* x.im x.im))) x.re)
(+ (* x.re x.re) (* -3 (* x.im x.im)))
(* x.re x.re)
(* -3 (* x.im x.im))
(* -3 (* x.im (* x.im x.re)))
(* x.im (* x.im x.re))
(* x.im x.re)
(* (* x.re -3) (* x.im x.im))
(* x.re -3)
(* x.im x.im)
(* x.re (/ 1 (/ 1 (* x.re x.re))))
(/ 1 (/ 1 (* x.re x.re)))
(/ 1 (* x.re x.re))
(/ x.re (/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im)))))
(/ 1 (+ (* x.re x.re) (* -3 (* x.im x.im))))
Outputs
(+.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (-.f64 #s(literal 0 binary64) x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) x.re)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (*.f64 x.re x.re)))
(+.f64 (*.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) x.re)) (*.f64 x.re (*.f64 x.re x.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) x.re))
(-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (-.f64 #s(literal 0 binary64) x.re) (*.f64 x.re x.re)))
(-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 x.re (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re))))
(-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 x.re (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))))
(-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 (-.f64 #s(literal 0 binary64) x.re) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re)))) (*.f64 x.re (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re))))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re (*.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 x.im (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) x.im)) x.im (*.f64 x.re (*.f64 x.re x.re)))
(neg.f64 (*.f64 x.re (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))) (*.f64 x.re (+.f64 (*.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 #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 x.re) (*.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (+.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal -9 binary64))))))
(/.f64 (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) x.re) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 x.im (*.f64 x.im #s(literal 3 binary64))) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) x.re))
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simplify248.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4052×*-lowering-*.f32
4052×*-lowering-*.f64
1798×/-lowering-/.f32
1798×/-lowering-/.f64
1644×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01241888
13661879
210941867
336991864
085361864
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 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)
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (pow x.im 2))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* (pow x.im 2) x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) 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)
(* -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)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 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)
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(pow x.re 3)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(/ -1/3 (pow x.im 2))
(- (* -1/9 (/ (pow x.re 2) (pow x.im 4))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ 1 (pow x.re 2))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ 1 (pow x.re 2))
(+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
Outputs
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re)))
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
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(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(- (* (pow x.re 2) (- (* -1/27 (/ (pow x.re 2) (pow x.im 6))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal -1/27 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1/81 (/ (pow x.re 2) (pow x.im 8))) (* 1/27 (/ 1 (pow x.im 6))))) (* 1/9 (/ 1 (pow x.im 4))))) (* 1/3 (/ 1 (pow x.im 2))))
(+.f64 (*.f64 (*.f64 x.re x.re) (+.f64 (*.f64 (*.f64 x.re x.re) (+.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal -1/81 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (/.f64 #s(literal -1/9 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (*.f64 x.re x.re))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal 9 binary64)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (+.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal 9 binary64)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (* 3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (*.f64 x.re x.re))
(/ (- (+ 1 (* 9 (/ (pow x.im 4) (pow x.re 4)))) (* -3 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal 9 binary64)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ (- (+ 1 (* 27 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -9 (/ (pow x.im 4) (pow x.re 4))) (* -3 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (+.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im (*.f64 x.im #s(literal 9 binary64)))) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(+ (* 3 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (*.f64 x.re x.re))
(+ (* (pow x.im 2) (+ (* 9 (/ (pow x.im 2) (pow x.re 6))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 27 (/ (pow x.im 2) (pow x.re 8))) (* 9 (/ 1 (pow x.re 6))))) (* 3 (/ 1 (pow x.re 4))))) (/ 1 (pow x.re 2)))
(+.f64 (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) (+.f64 (/.f64 (*.f64 x.im (*.f64 x.im #s(literal 27 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re)) (*.f64 x.re x.re)))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 x.im x.im))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/81 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ (- (* -1/9 (/ (pow x.re 2) (pow x.im 2))) 1/3) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im))) (*.f64 x.im x.im))
(/ (- (* -1/27 (/ (pow x.re 4) (pow x.im 4))) (+ 1/3 (* 1/9 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im)))))) (*.f64 x.im x.im))
(/ (- (* -1/81 (/ (pow x.re 6) (pow x.im 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.re 4) (pow x.im 4))) (* 1/9 (/ (pow x.re 2) (pow x.im 2)))))) (pow x.im 2))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/81 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (*.f64 x.re (*.f64 x.re #s(literal -1/9 binary64))) (*.f64 x.im x.im)) (/.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))))))) (*.f64 x.im x.im))

eval187.0ms (2.2%)

Compiler

Compiled 27197 to 1634 computations (94% saved)

prune97.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New114051145
Fresh325
Picked415
Done022
Total1147101157
Accuracy
100.0%
Counts
1157 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
▶57.5%
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
▶50.8%
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
57.4%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
✓90.5%
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
▶57.0%
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
▶57.0%
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
▶57.5%
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
✓57.5%
(*.f64 x.re (*.f64 x.re x.re))
✓50.9%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
Compiler

Compiled 167 to 106 computations (36.5% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.im x.im)
✓cost-diff0
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
✓cost-diff0
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
✓cost-diff0
(*.f64 x.im #s(literal -3 binary64))
✓cost-diff0
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))
✓cost-diff0
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
✓cost-diff0
(*.f64 x.re x.im)
✓cost-diff0
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x.re)
✓cost-diff128
(/.f64 x.re (/.f64 #s(literal 1 binary64) x.re))
✓cost-diff128
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
✓cost-diff0
(*.f64 x.re x.re)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
✓cost-diff128
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
Rules
136×*-lowering-*.f32
136×*-lowering-*.f64
104×/-lowering-/.f32
104×/-lowering-/.f64
54×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02080
14578
27174
310674
413274
515674
616574
718474
821274
921874
1022674
1123574
1223574
023574
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ x.re (/ 1 (* x.re x.re)))
x.re
(/ 1 (* x.re x.re))
1
(* x.re x.re)
(* x.re (/ x.re (/ 1 x.re)))
x.re
(/ x.re (/ 1 x.re))
(/ 1 x.re)
1
(* (* x.re x.im) (* -3 x.im))
(* x.re x.im)
x.re
x.im
(* -3 x.im)
-3
(* (* x.re (* x.im -3)) x.im)
(* x.re (* x.im -3))
x.re
(* x.im -3)
x.im
-3
(/ x.re (/ -1/3 (* x.im x.im)))
x.re
(/ -1/3 (* x.im x.im))
-1/3
(* x.im x.im)
x.im
Outputs
(/ x.re (/ 1 (* x.re x.re)))
(*.f64 x.re (*.f64 x.re x.re))
x.re
(/ 1 (* x.re x.re))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
1
#s(literal 1 binary64)
(* x.re x.re)
(*.f64 x.re x.re)
(* x.re (/ x.re (/ 1 x.re)))
(*.f64 x.re (*.f64 x.re x.re))
x.re
(/ x.re (/ 1 x.re))
(*.f64 x.re x.re)
(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
1
#s(literal 1 binary64)
(* (* x.re x.im) (* -3 x.im))
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* x.re x.im)
(*.f64 x.re x.im)
x.re
x.im
(* -3 x.im)
(*.f64 x.im #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(* (* x.re (* x.im -3)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))))
(* x.re (* x.im -3))
(*.f64 x.re (*.f64 x.im #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 (/ -1/3 (* x.im x.im)))
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
x.re
(/ -1/3 (* x.im x.im))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
-1/3
#s(literal -1/3 binary64)
(* x.im x.im)
(*.f64 x.im x.im)
x.im

localize112.0ms (1.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.5%
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
✓accuracy87.4%
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
✓accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓accuracy99.7%
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))
✓accuracy100.0%
(*.f64 x.re x.im)
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) x.im)
✓accuracy99.7%
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x.re)
✓accuracy99.9%
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
✓accuracy99.8%
(/.f64 x.re (/.f64 #s(literal 1 binary64) x.re))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.9%
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
Results
73.0ms256×0valid
Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 24.0ms (61.7% of total)
ival-div: 10.0ms (25.7% of total)
...c/correct-round.rkt:119:19: 5.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
15 → 240
Calls
Call 1
Inputs
#<alt (/ x.re (/ 1 (* x.re x.re)))>
#<alt (/ 1 (* x.re x.re))>
#<alt (* x.re x.re)>
#<alt (* x.re (/ x.re (/ 1 x.re)))>
#<alt (/ x.re (/ 1 x.re))>
#<alt (/ 1 x.re)>
#<alt (* (* x.re x.im) (* -3 x.im))>
#<alt (* x.re x.im)>
#<alt (* -3 x.im)>
#<alt (* (* x.re (* x.im -3)) x.im)>
#<alt (* x.re (* x.im -3))>
#<alt (* x.im -3)>
#<alt (/ x.re (/ -1/3 (* x.im x.im)))>
#<alt (/ -1/3 (* x.im x.im))>
#<alt (* x.im x.im)>
Outputs
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (pow x.re 2))>
#<alt (/ 1 (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 (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<alt (pow x.re 3)>
#<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 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (/ 1 x.re)>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) 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 (* -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 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) 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 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 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (* -3 (* (pow x.im 2) x.re))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (pow x.im 2))>
#<alt (/ -1/3 (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)>
Calls

60 calls:

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

rewrite246.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1854×*-lowering-*.f32
1854×*-lowering-*.f64
1182×/-lowering-/.f32
1182×/-lowering-/.f64
1144×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02067
18660
235160
3194460
4794360
0850460
Stop Event
1×iter limit
1×node limit
Counts
15 → 886
Calls
Call 1
Inputs
(/ x.re (/ 1 (* x.re x.re)))
(/ 1 (* x.re x.re))
(* x.re x.re)
(* x.re (/ x.re (/ 1 x.re)))
(/ x.re (/ 1 x.re))
(/ 1 x.re)
(* (* x.re x.im) (* -3 x.im))
(* x.re x.im)
(* -3 x.im)
(* (* x.re (* x.im -3)) x.im)
(* x.re (* x.im -3))
(* x.im -3)
(/ x.re (/ -1/3 (* x.im x.im)))
(/ -1/3 (* x.im x.im))
(* x.im x.im)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re x.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x.re)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.re x.re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (log.f64 x.re))))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re x.re)))
(neg.f64 (*.f64 x.re (*.f64 x.re x.re)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal -1/2 binary64)) (pow.f64 x.re #s(literal 5/2 binary64))))
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(/.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64))
(/.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal -1 binary64))
(/.f64 (pow.f64 x.re #s(literal 5/2 binary64)) (pow.f64 x.re #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x.re #s(literal 5/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 x.re (*.f64 x.re x.re)))
(/.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal -3/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x.re) x.re)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re (*.f64 x.re x.re)))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 5/2 binary64)))) (pow.f64 x.re #s(literal -5/2 binary64)))
(/.f64 (pow.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) (*.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re x.re))))))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal -3/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x.re) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x.re #s(literal -1/2 binary64)) #s(literal -6 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re))) #s(literal -1/2 binary64))
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 (*.f64 x.re x.re) x.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64))
(*.f64 (*.f64 x.re (*.f64 x.re x.re)) #s(literal -1 binary64))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 x.re) (pow.f64 (pow.f64 x.re #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 5/2 binary64)) (sqrt.f64 x.re))
(*.f64 (pow.f64 x.re #s(literal 5/2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 5/2 binary64)) (neg.f64 (sqrt.f64 x.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal -1/2 binary64))) (pow.f64 x.re #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (pow.f64 (pow.f64 x.re #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x.re #s(literal -3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x.re #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x.re #s(literal -5/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x.re #s(literal -1/2 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 x.re #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal -3 binary64)) (*.f64 x.re (*.f64 x.re x.re)))
(*.f64 (pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x.re #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x.re #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x.re #s(literal -5/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x.re))
(*.f64 (neg.f64 (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 5/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal -1/2 binary64)))) (pow.f64 x.re #s(literal 5/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x.re) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 #s(literal 1 binary64) x.re) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x.re #s(literal -1/2 binary64)) (pow.f64 x.re #s(literal -3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x.re #s(literal -3/2 binary64)) (pow.f64 x.re #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal -1/2 binary64))) (pow.f64 x.re #s(literal -3/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 x.re (*.f64 x.re (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re)
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)) #s(literal 0 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re))) (*.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re))))) (*.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)))) (*.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re (/.f64 #s(literal 1 binary64) x.re))) (*.f64 x.re x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))) x.re)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.re x.re))) (*.f64 x.re (*.f64 x.re x.re))) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (*.f64 x.re x.re)) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) #s(literal 0 binary64)))
(pow.f64 x.re #s(literal -2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal -1 binary64))
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(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) x.im) x.im)
(/.f64 (/.f64 #s(literal 1/3 binary64) x.im) (-.f64 #s(literal 0 binary64) x.im))
(/.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.im #s(literal -1/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 x.im #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))))) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64))))) (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im))))))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) x.im) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (/.f64 #s(literal -1/3 binary64) x.im) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x.im) (/.f64 #s(literal -1 binary64) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal -1/3 binary64) x.im))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x.im) (/.f64 #s(literal 1/3 binary64) x.im))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x.im))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x.im) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x.im) (pow.f64 #s(literal -3 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 x.im x.im) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x.im x.im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x.im) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x.im) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(/.f64 x.im (/.f64 #s(literal 1 binary64) x.im))
(/.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im))))) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (*.f64 x.im x.im))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x.im x.im) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (*.f64 x.im x.im) #s(literal 1 binary64))
(*.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)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) x.im))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal -1/2 binary64)))

simplify49.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
68×*-lowering-*.f32
68×*-lowering-*.f64
20×associate-*r*
20×associate-*l*
16×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181080
1341080
2521080
3601080
0601080
Stop Event
1×iter limit
1×saturated
Counts
240 → 240
Calls
Call 1
Inputs
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (pow x.re 2))
(/ 1 (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)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 3)
(pow x.re 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)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(/ 1 x.re)
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) 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)
(* -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 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) 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 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 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (pow x.im 2))
(/ -1/3 (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)
(pow x.im 2)
Outputs
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.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)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
(pow x.re 3)
(*.f64 x.re (*.f64 x.re x.re))
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(*.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)
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(*.f64 x.re x.re)
(/ 1 x.re)
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(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
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(/.f64 #s(literal 1 binary64) x.re)
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(/.f64 #s(literal 1 binary64) x.re)
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
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(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re 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)
(*.f64 #s(literal -3 binary64) x.im)
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
(* -3 (* x.im x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) x.im))
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(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
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(*.f64 #s(literal -3 binary64) x.im)
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(*.f64 #s(literal -3 binary64) x.im)
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(*.f64 #s(literal -3 binary64) x.im)
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(*.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 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (* (pow x.im 2) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im))
(/ -1/3 (pow x.im 2))
(/.f64 #s(literal -1/3 binary64) (*.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)

eval205.0ms (2.4%)

Compiler

Compiled 12500 to 1516 computations (87.9% saved)

prune135.0ms (1.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New112331126
Fresh112
Picked235
Done123
Total112791136
Accuracy
100.0%
Counts
1136 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.5%
(/.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re))
✓50.8%
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
56.9%
(/.f64 x.im (/.f64 (/.f64 #s(literal -1/3 binary64) x.im) x.re))
57.4%
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
✓90.5%
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
✓57.0%
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
✓57.0%
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
✓57.5%
(*.f64 x.re (*.f64 x.re x.re))
19.0%
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
Compiler

Compiled 393 to 136 computations (65.4% saved)

regimes30.0ms (0.4%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(/.f64 x.im (/.f64 (/.f64 #s(literal -1/3 binary64) x.im) x.re))
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re))
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re x.re) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))) x.re) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.re x.re))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.im x.im))) #s(literal 9 binary64))))))
Outputs
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
Calls

3 calls:

11.0ms
x.re
9.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
8.0ms
x.im
Results
AccuracySegmentsBranch
99.8%2x.re
98.6%2x.im
99.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes29.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(/.f64 x.im (/.f64 (/.f64 #s(literal -1/3 binary64) x.im) x.re))
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re))
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(*.f64 (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Outputs
(*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
Calls

2 calls:

21.0ms
x.re
7.0ms
x.im
Results
AccuracySegmentsBranch
98.6%2x.im
98.0%3x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(/.f64 x.im (/.f64 (/.f64 #s(literal -1/3 binary64) x.im) x.re))
(/.f64 x.re (/.f64 #s(literal -1/3 binary64) (*.f64 x.im x.im)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 x.re (/.f64 (/.f64 #s(literal 1 binary64) x.re) x.re))
(/.f64 (*.f64 x.re x.re) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
Outputs
(*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im)
(/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
Calls

2 calls:

9.0ms
x.im
5.0ms
x.re
Results
AccuracySegmentsBranch
87.0%2x.re
85.2%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x.re
Results
AccuracySegmentsBranch
87.0%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.re (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im))
(*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re)))
(*.f64 x.re (*.f64 x.re x.re))
Calls

1 calls:

4.0ms
x.re
Results
AccuracySegmentsBranch
87.0%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
Outputs
(*.f64 x.re (*.f64 x.re x.re))
(*.f64 x.re (neg.f64 (*.f64 x.re x.re)))
Calls

2 calls:

2.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
61.2%2x.im
57.5%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x.im
Results
AccuracySegmentsBranch
57.5%1x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.933872292067233e+62
8.12114208929007e+64
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.565182990184497e+153
1.25197266595923e+156
Results
10.0ms112×0valid
Compiler

Compiled 194 to 127 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.3% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
10945203527467.102
364589632141434.56
Results
16.0ms112×0valid
Compiler

Compiled 166 to 113 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (81.8% of total)
ival-sub: 1.0ms (16.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
10945203527467.102
364589632141434.56
Results
11.0ms112×0valid
Compiler

Compiled 152 to 99 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (79.6% of total)
ival-sub: 1.0ms (13.3% of total)
ival-add: 1.0ms (13.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
10945203527467.102
364589632141434.56
Results
9.0ms112×0valid
Compiler

Compiled 152 to 99 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (64.4% of total)
ival-sub: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
4.747840075354106e+195
2.3729903331521978e+198
Results
12.0ms128×0valid
Compiler

Compiled 162 to 103 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (81.6% of total)
ival-sub: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
48×*-commutative_binary64
34×+-commutative_binary64
28×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052146
196146
2128146
3151146
4160146
5161146
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im))) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 11500000000000 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 90000000000000 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 21000000000000 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 6200000000000000402506059986094584820210616313432850025785141493369850267986720741043578431481235829369641099243270748151948640936476706724609839094293203816906349053165350300882793231958652485632 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (neg.f64 (*.f64 x.re x.re))))
(*.f64 x.re (*.f64 x.re x.re))
Outputs
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.im #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im #s(literal -3 binary64)) x.im))) (*.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im)))
(if (<=.f64 x.im #s(literal 7799999999999999662993259276744944044744793674331316722871614461873921322564221558610190161949860767151784985925172927759692277766751643944293093240471552 binary64)) (*.f64 x.re (+.f64 (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(if (<=.f64 x.re #s(literal 11500000000000 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 11500000000000 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (/.f64 x.re (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 90000000000000 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) x.im) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 90000000000000 binary64)) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 21000000000000 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.im x.re))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 21000000000000 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 6200000000000000402506059986094584820210616313432850025785141493369850267986720741043578431481235829369641099243270748151948640936476706724609839094293203816906349053165350300882793231958652485632 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (neg.f64 (*.f64 x.re x.re))))
(if (<=.f64 x.im #s(literal 6200000000000000402506059986094584820210616313432850025785141493369850267986720741043578431481235829369641099243270748151948640936476706724609839094293203816906349053165350300882793231958652485632 binary64)) (*.f64 x.re (*.f64 x.re x.re)) (-.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re x.re))))
(*.f64 x.re (*.f64 x.re x.re))

soundness2.3s (27.2%)

Rules
4034×*-lowering-*.f32
4034×*-lowering-*.f64
3722×*-lowering-*.f32
3722×*-lowering-*.f64
3238×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0751410
12411380
27611368
333591368
087601368
01985
19482
256182
3566382
0802382
01116
13315
28115
326311
491010
5537710
0819310
01573
111264
092564
02067
18660
235160
3194460
4794360
0850460
036185
1260123
21928122
09372122
02764447
19193789
231893421
084023421
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 371 to 198 computations (46.6% saved)

preprocess121.0ms (1.4%)

Remove

(abs x.im)

Compiler

Compiled 714 to 266 computations (62.7% saved)

end0.0ms (0%)

Profiling

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