math.cube on complex, imaginary part

Time bar (total: 11.0s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample854.0ms (7.8%)

Memory
38.1MiB live, 1 972.6MiB allocated
Samples
643.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 450.0ms
ival-mult: 328.0ms (72.9% of total)
ival-add: 81.0ms (18% of total)
ival-sub: 33.0ms (7.3% of total)
ival-true: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess548.0ms (5%)

Memory
-25.6MiB live, 912.7MiB allocated
Algorithm
2×egg-herbie
Rules
19 136×accelerator-lowering-fma.f32
19 136×accelerator-lowering-fma.f64
2 550×+-lowering-+.f64
2 550×+-lowering-+.f32
2 546×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036120
1112104
2316102
3135568
4359766
5583766
6665566
7707566
8725066
9734066
10735066
01119
12417
25517
314111
434711
5100211
6192111
7483211
8718811
0810711
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.re (fma.f64 x.re #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
Call 2
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))
Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re)))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re))
(+ (pow x.im 3) (* (* x.re (* x.re x.im)) -3))
(neg (+ (* (- (* (neg x.re) (neg x.re)) (* x.im x.im)) x.im) (* (+ (* (neg x.re) x.im) (* x.im (neg x.re))) (neg x.re))))
(+ (pow x.im 3) (* (* x.re (* x.re x.im)) -3))
(neg (+ (* (- (* x.re x.re) (* (neg x.im) (neg x.im))) (neg x.im)) (* (+ (* x.re (neg x.im)) (* (neg x.im) x.re)) x.re)))
(- (* (* x.re (* x.re x.im)) 3) (pow x.im 3))
(+ (* (- (* x.im x.im) (* x.re x.re)) x.re) (* (+ (* x.im x.re) (* x.re x.im)) x.im))
(- (* x.re (* x.im (* x.im 3))) (pow x.re 3))
Symmetry

(abs x.re)

(negabs x.im)

explain173.0ms (1.6%)

Memory
20.3MiB live, 301.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
120-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
110-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
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.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue140
↳(*.f64 x.re x.re)overflow60
↳(*.f64 x.im x.im)overflow59
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue120
↳(*.f64 x.re x.re)overflow60
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow105
↳(*.f64 x.im x.im)overflow59
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow110
↳(*.f64 x.im x.re)overflow29
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow60
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow29
↳(*.f64 x.re x.im)overflow29
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o110
Confusion
Predicted +Predicted -
+320
-0224
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-00224
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0224
127
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 17.0ms (69.7% of total)
ival-add: 4.0ms (16.4% of total)
ival-sub: 2.0ms (8.2% of total)
ival-true: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.6%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify420.0ms (3.8%)

Memory
-6.3MiB live, 864.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓cost-diff192
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff384
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff576
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Rules
19 136×accelerator-lowering-fma.f32
19 136×accelerator-lowering-fma.f64
2 550×+-lowering-+.f64
2 550×+-lowering-+.f32
2 546×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
12459
25559
314153
434753
5100253
6192153
7483253
8718853
0810753
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(+ (* x.re x.im) (* x.im x.re))
(* x.re x.im)
(* x.im x.re)
Outputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.re (fma.f64 x.re #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(fma.f64 x.im (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(- (* x.re x.re) (* x.im x.im))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) #s(literal 0 binary64))
(* x.re x.re)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
(* x.im x.im)
(fma.f64 x.im x.im #s(literal 0 binary64))
x.im
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(fma.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) (+.f64 x.re x.re) #s(literal 0 binary64))
(+ (* x.re x.im) (* x.im x.re))
(fma.f64 x.im (+.f64 x.re x.re) #s(literal 0 binary64))
(* x.re x.im)
(fma.f64 x.re x.im #s(literal 0 binary64))
(* x.im x.re)
(fma.f64 x.re x.im #s(literal 0 binary64))

localize44.0ms (0.4%)

Memory
-18.8MiB live, 59.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy95.8%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓accuracy95.2%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓accuracy95.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
Samples
20.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.8% of total)
ival-add: 3.0ms (24.7% of total)
ival-sub: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (* (- (* x.re x.re) (* x.im x.im)) x.im)>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
Outputs
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* 2 (* x.im 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))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
Calls

30 calls:

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

rewrite98.0ms (0.9%)

Memory
8.2MiB live, 82.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
408×accelerator-lowering-fma.f32
408×accelerator-lowering-fma.f64
338×*-lowering-*.f32
338×*-lowering-*.f64
150×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
16939
052638
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
Counts
5 → 77
Calls
Call 1
Inputs
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(+ (* x.re x.im) (* x.im x.re))
(- (* x.re x.re) (* x.im x.im))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
Outputs
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (fma.f64 x.re (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.re) (*.f64 x.re (+.f64 x.im x.im))))))
(/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))) (neg.f64 (fma.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))) (neg.f64 (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(*.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (-.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))))
(*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))) #s(literal 0 binary64)) (/.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im x.im))) #s(literal 0 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (neg.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x.re x.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) (*.f64 x.re x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (/.f64 (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im)) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(-.f64 (/.f64 (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(fma.f64 x.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (*.f64 x.re x.re))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) x.im (*.f64 x.re x.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im)))) (neg.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (fma.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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))) (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re 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 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))))
(*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 #s(literal 1 binary64) (fma.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))
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))))
(/.f64 (*.f64 x.im (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im)))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) x.im) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im 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 x.im)) x.im)
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re))
(/.f64 (*.f64 x.re (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) x.re) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)

simplify370.0ms (3.4%)

Memory
17.9MiB live, 606.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 068×accelerator-lowering-fma.f32
16 068×accelerator-lowering-fma.f64
3 490×*-lowering-*.f32
3 490×*-lowering-*.f64
1 406×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057891
1182855
2585855
32562855
46883855
08692855
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im 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))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
Outputs
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* 2 (* x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(pow x.re 2)
(fma.f64 x.re x.re #s(literal 0 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

eval21.0ms (0.2%)

Memory
-21.2MiB live, 56.2MiB allocated
Compiler

Compiled 4 713 to 300 computations (93.6% saved)

prune20.0ms (0.2%)

Memory
10.0MiB live, 48.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New18512197
Fresh000
Picked101
Done000
Total18612198
Accuracy
99.9%
Counts
198 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
53.0%
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
▶62.5%
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
▶93.5%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
11.1%
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) x.im) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
34.4%
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
53.4%
(+.f64 (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
13.4%
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (fma.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)))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
13.4%
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶12.3%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))) x.re))
▶95.1%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
16.0%
(*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
Compiler

Compiled 794 to 320 computations (59.7% saved)

simplify518.0ms (4.7%)

Memory
22.6MiB live, 829.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))
✓cost-diff192
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓cost-diff576
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))) x.re))
✓cost-diff3712
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
✓cost-diff0
(-.f64 x.re x.im)
✓cost-diff0
(+.f64 x.re x.im)
✓cost-diff384
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
✓cost-diff576
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓cost-diff0
(fma.f64 x.re x.re #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
✓cost-diff0
(fma.f64 x.im x.im #s(literal 0 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
✓cost-diff0
(+.f64 x.im x.im)
✓cost-diff0
(-.f64 x.re x.im)
✓cost-diff0
(+.f64 x.re x.im)
✓cost-diff384
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
Rules
18 582×accelerator-lowering-fma.f32
18 582×accelerator-lowering-fma.f64
5 414×*-lowering-*.f32
5 414×*-lowering-*.f64
2 946×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041258
1120256
2417242
32687226
44780226
08592224
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* x.re (* x.re (+ x.im x.im))))
(* x.im (+ x.re x.im))
x.im
(+ x.re x.im)
x.re
(- x.re x.im)
(* x.re (* x.re (+ x.im x.im)))
(* x.re (+ x.im x.im))
(+ x.im x.im)
(+ (* x.im (- 0 (+ (* x.im x.im) 0))) 0)
x.im
(- 0 (+ (* x.im x.im) 0))
0
(+ (* x.im x.im) 0)
(- 0 (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))))
0
(* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0)))
x.im
(+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))
(+ (* (+ (* x.re x.re) 0) -3) 0)
(+ (* x.re x.re) 0)
x.re
-3
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(* (+ x.re x.im) (* (- x.re x.im) x.im))
(+ x.re 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.re x.im)
(* x.im x.re)
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(- (* x.re x.re) (* x.im x.im))
(* x.re x.re)
x.re
(* x.im x.im)
x.im
(* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re)
(* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0)))
(* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im)))
(+ (* (* x.re x.re) (* x.im x.im)) 0)
0
(* x.re (+ x.im x.im))
(+ x.im x.im)
(/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))
1
Outputs
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* x.re (* x.re (+ x.im x.im))))
(fma.f64 (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(* x.im (+ x.re x.im))
(fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))
x.im
(+ x.re x.im)
(+.f64 x.im x.re)
x.re
(- x.re x.im)
(-.f64 x.re x.im)
(* x.re (* x.re (+ x.im x.im)))
(fma.f64 (+.f64 x.im x.im) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.re (+ x.im x.im))
(fma.f64 x.im (+.f64 x.re x.re) #s(literal 0 binary64))
(+ x.im x.im)
(+.f64 x.im x.im)
(+ (* x.im (- 0 (+ (* x.im x.im) 0))) 0)
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
x.im
(- 0 (+ (* x.im x.im) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(+ (* x.im x.im) 0)
(fma.f64 x.im x.im #s(literal 0 binary64))
(- 0 (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))))
(fma.f64 (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
x.im
(+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))
(fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))
(+ (* (+ (* x.re x.re) 0) -3) 0)
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))
(+ (* x.re x.re) 0)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
-3
#s(literal -3 binary64)
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(fma.f64 (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(* (+ x.re x.im) (* (- x.re x.im) x.im))
(fma.f64 x.im (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
(* (- x.re x.im) x.im)
(fma.f64 x.im (-.f64 x.re x.im) #s(literal 0 binary64))
(- x.re x.im)
(-.f64 x.re x.im)
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(fma.f64 (+.f64 x.im x.im) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x.re x.im) (* x.im x.re))
(fma.f64 x.im (+.f64 x.re x.re) #s(literal 0 binary64))
(* x.re x.im)
(fma.f64 x.im x.re #s(literal 0 binary64))
(* x.im x.re)
(fma.f64 x.im x.re #s(literal 0 binary64))
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re))
(fma.f64 (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(* (- (* x.re x.re) (* x.im x.im)) x.im)
(fma.f64 x.im (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
(- (* x.re x.re) (* x.im x.im))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 0 binary64))
(* x.re x.re)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
(* x.im x.im)
(fma.f64 x.im x.im #s(literal 0 binary64))
x.im
(* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re)
(fma.f64 (+.f64 x.im x.im) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0)))
(fma.f64 x.im (+.f64 x.re x.re) #s(literal 0 binary64))
(* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im)))
(fma.f64 (+.f64 x.im x.im) (fma.f64 x.re (fma.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (* x.re x.re) (* x.im x.im)) 0)
(fma.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.re #s(literal 0 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* x.re (+ x.im x.im))
(fma.f64 x.im (+.f64 x.re x.re) #s(literal 0 binary64))
(+ x.im x.im)
(+.f64 x.im x.im)
(/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)

localize141.0ms (1.3%)

Memory
0.5MiB live, 152.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy95.2%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))) x.re))
✓accuracy95.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓accuracy76.5%
(fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))
✓accuracy29.4%
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64))))
✓accuracy100.0%
(*.f64 (-.f64 x.re x.im) x.im)
✓accuracy99.8%
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im))
✓accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓accuracy95.2%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
✓accuracy99.8%
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))
✓accuracy98.0%
(fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))
✓accuracy95.4%
(*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))))
✓accuracy100.0%
(fma.f64 x.im x.im #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
✓accuracy99.8%
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 x.re (+.f64 x.im x.im))
✓accuracy100.0%
(*.f64 x.im (+.f64 x.re x.im))
✓accuracy99.8%
(*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))
✓accuracy95.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
Samples
88.0ms256×0valid
Compiler

Compiled 336 to 43 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-add: 36.0ms (52% of total)
ival-mult: 26.0ms (37.6% of total)
ival-sub: 4.0ms (5.8% of total)
ival-div: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
10.0MiB live, 45.8MiB allocated
Counts
24 → 504
Calls
Call 1
Inputs
#<alt (+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* x.re (* x.re (+ x.im x.im))))>
#<alt (+ x.re x.im)>
#<alt (- x.re x.im)>
#<alt (+ x.im x.im)>
#<alt (+ (* x.im (- 0 (+ (* x.im x.im) 0))) 0)>
#<alt (- 0 (+ (* x.im x.im) 0))>
#<alt (+ (* x.im x.im) 0)>
#<alt (- 0 (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))))>
#<alt (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))>
#<alt (+ (* (+ (* x.re x.re) 0) -3) 0)>
#<alt (+ (* x.re x.re) 0)>
#<alt (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))>
#<alt (+ (* x.re x.im) (* x.im x.re))>
#<alt (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0)))>
#<alt (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re))>
#<alt (- (* x.re x.re) (* x.im x.im))>
#<alt (+ (* (* x.re x.re) (* x.im x.im)) 0)>
#<alt (* x.re (* x.re (+ x.im x.im)))>
#<alt (* x.im (+ x.re x.im))>
#<alt (* x.re (+ x.im x.im))>
#<alt (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0)))>
#<alt (* (+ (* x.re x.im) (* x.im x.re)) x.re)>
#<alt (* (+ x.re x.im) (* (- x.re x.im) x.im))>
#<alt (* (- x.re x.im) x.im)>
Outputs
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt x.re>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt x.re>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt x.re>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (* -1 x.im)>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* 2 x.im)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* -1 (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 (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* -3 (pow x.re 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 2)>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* -3 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))>
#<alt (* 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 (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* (pow x.im 2) (pow x.re 2))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (pow x.im 2)>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (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 (* -3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (pow x.im 3)>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
Calls

126 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(+ (* x.im (- 0 (+ (* x.im x.im) 0))) 0)
2.0ms
x.re
@0
(* x.im (+ x.re x.im))
0.0ms
x.im
@-inf
(- 0 (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))))
0.0ms
x.im
@inf
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* x.re (* x.re (+ x.im x.im))))
0.0ms
x.re
@inf
(+ (* (* x.im (+ x.re x.im)) (- x.re x.im)) (* x.re (* x.re (+ x.im x.im))))

rewrite444.0ms (4%)

Memory
-4.2MiB live, 585.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 480×accelerator-lowering-fma.f32
5 480×accelerator-lowering-fma.f64
3 266×/-lowering-/.f32
3 266×/-lowering-/.f64
2 722×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041161
1315127
23436127
08462121
Stop Event
1×iter limit
1×node limit
Counts
24 → 903
Calls
Call 1
Inputs
(+ (* (* x.im (+ 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.im)
(+ (* x.im (- 0 (+ (* x.im x.im) 0))) 0)
(- 0 (+ (* x.im x.im) 0))
(+ (* x.im x.im) 0)
(- 0 (* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))))
(+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0))
(+ (* (+ (* x.re x.re) 0) -3) 0)
(+ (* x.re x.re) 0)
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
(+ (* x.re x.im) (* x.im x.re))
(* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0)))
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* (* (+ (* (* x.re x.re) (* x.im x.im)) 0) (* x.re (+ x.im x.im))) (/ 1 (+ (* (* x.re x.re) (* x.im x.im)) 0))) x.re))
(- (* x.re x.re) (* x.im x.im))
(+ (* (* x.re x.re) (* x.im x.im)) 0)
(* x.re (* x.re (+ x.im x.im)))
(* x.im (+ x.re x.im))
(* x.re (+ x.im x.im))
(* x.im (+ (* x.im x.im) (+ (* (+ (* x.re x.re) 0) -3) 0)))
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
(* (+ x.re x.im) (* (- x.re x.im) x.im))
(* (- x.re x.im) x.im)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64))
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(-.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) (/.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (-.f64 x.re x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 (-.f64 x.re x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (-.f64 x.re x.im)) (+.f64 x.im x.re) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) (-.f64 x.re x.im) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) (-.f64 x.re x.im) (*.f64 (neg.f64 x.re) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)) (-.f64 x.re x.im) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))) (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))) (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (pow.f64 (*.f64 (neg.f64 x.re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 (neg.f64 x.re) #s(literal 0 binary64)) (*.f64 (neg.f64 x.re) #s(literal 0 binary64))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (neg.f64 x.re) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (pow.f64 (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 x.im (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) (-.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))) (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
(-.f64 (+.f64 x.im x.re) (/.f64 #s(literal 0 binary64) (-.f64 x.re x.im)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x.re (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) (*.f64 x.re (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)))) (*.f64 (*.f64 x.re (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x.im) (fma.f64 x.im (+.f64 x.im x.re) #s(literal 0 binary64)))))))
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(*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(*.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)))
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(/.f64 (*.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))) (+.f64 x.im x.re))
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(*.f64 x.im (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) x.im)

simplify413.0ms (3.8%)

Memory
6.1MiB live, 717.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 136×accelerator-lowering-fma.f32
12 136×accelerator-lowering-fma.f64
3 636×*-lowering-*.f32
3 636×*-lowering-*.f64
2 450×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02034471
16963963
222253615
376683615
081683525
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ 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 x.re)))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 x.im)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* 2 x.im)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (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)
(* 3 (* x.im (pow x.re 2)))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -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.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* 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))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 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))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(* x.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (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))
(* -3 (* x.im (pow x.re 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(pow x.im 3)
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
Outputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 x.im (/.f64 x.re x.re) x.re)
x.re
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
(+ x.im x.re)
(+.f64 x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 x.im (/.f64 x.re x.im) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(- x.re x.im)
(-.f64 x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* x.im (- (/ x.re x.im) 1))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* x.im (- (/ x.re x.im) 1))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* x.im (- (/ x.re x.im) 1))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x.im)
(fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(pow x.im 2)
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(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x.im (pow x.re 2)))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(fma.f64 x.re (fma.f64 x.re (fma.f64 x.im (fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(fma.f64 x.re (fma.f64 x.re (fma.f64 x.im (fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(fma.f64 x.re (fma.f64 x.re (fma.f64 x.im (fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(fma.f64 x.re (fma.f64 x.re (fma.f64 x.im (fma.f64 (-.f64 #s(literal 0 binary64) x.im) (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (pow x.re 2))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(fma.f64 x.im (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im x.re)
(fma.f64 x.im x.re #s(literal 0 binary64))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.im x.re)
(fma.f64 x.im x.re #s(literal 0 binary64))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
(* x.im x.re)
(fma.f64 x.im x.re #s(literal 0 binary64))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 x.im (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* -1 (pow x.im 2))
(-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 x.im (*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))

eval353.0ms (3.2%)

Memory
-13.0MiB live, 429.5MiB allocated
Compiler

Compiled 56 225 to 3 564 computations (93.7% saved)

prune179.0ms (1.6%)

Memory
7.4MiB live, 403.0MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 659201 679
Fresh707
Picked415
Done000
Total1 670211 691
Accuracy
100.0%
Counts
1 691 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.2%
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
23.2%
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.re #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))))) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
83.9%
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
83.4%
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
✓95.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
33.4%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 (/.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64))))) (fma.f64 x.im (-.f64 x.im x.re) (fma.f64 x.re x.re #s(literal 0 binary64)))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
57.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
73.9%
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
▶53.0%
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
62.5%
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))) #s(literal 0 binary64))
62.6%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
8.5%
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
19.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)))
▶62.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
53.4%
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)))
▶91.9%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
38.1%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (/.f64 (fma.f64 (fma.f64 x.re (*.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))))))
53.0%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
▶62.5%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
57.2%
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
8.5%
(*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
Compiler

Compiled 846 to 401 computations (52.6% saved)

simplify187.0ms (1.7%)

Memory
9.9MiB live, 288.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x.re x.re #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64))
✓cost-diff1280
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im x.im #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
✓cost-diff1216
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
✓cost-diff0
(fma.f64 x.re x.re #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x.im x.im)
✓cost-diff-64
(*.f64 x.im (*.f64 x.im x.im))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
✓cost-diff-64
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
✓cost-diff-64
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
✓cost-diff0
(*.f64 x.re #s(literal -3 binary64))
✓cost-diff0
(fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
Rules
3 562×accelerator-lowering-fma.f32
3 562×accelerator-lowering-fma.f64
3 394×*-lowering-*.f32
3 394×*-lowering-*.f64
1 416×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033137
191137
2278134
3898134
42848134
55673134
08035131
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 0 (* x.im (+ (* x.re (* x.re -3)) (* x.im x.im))))
0
(* x.im (+ (* x.re (* x.re -3)) (* x.im x.im)))
x.im
(+ (* x.re (* x.re -3)) (* x.im x.im))
x.re
(* x.re -3)
-3
(* x.im x.im)
(- 0 (* x.im (* x.im x.im)))
0
(* x.im (* x.im x.im))
x.im
(* x.im x.im)
(+ (* x.im (+ (* (+ (* x.re x.re) 0) 3) 0)) 0)
x.im
(+ (* (+ (* x.re x.re) 0) 3) 0)
(+ (* x.re x.re) 0)
x.re
0
3
(/ 1 (/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)))
1
(/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0))
(+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)
(+ (* x.im x.im) 0)
x.im
0
(- 0 x.im)
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
(+ (* x.im (* x.im x.im)) 0)
x.im
(* x.im x.im)
0
(+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)
(+ (* x.re x.re) 0)
x.re
(/ 3 (* x.im x.im))
3
-1
Outputs
(- 0 (* x.im (+ (* x.re (* x.re -3)) (* x.im x.im))))
(fma.f64 x.im (fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* x.im (+ (* x.re (* x.re -3)) (* x.im x.im)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
x.im
(+ (* x.re (* x.re -3)) (* x.im x.im))
(fma.f64 x.im x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)))
x.re
(* x.re -3)
(*.f64 x.re #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(* x.im x.im)
(fma.f64 x.im x.im #s(literal 0 binary64))
(- 0 (* x.im (* x.im x.im)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* x.im (* x.im x.im))
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
x.im
(* x.im x.im)
(fma.f64 x.im x.im #s(literal 0 binary64))
(+ (* x.im (+ (* (+ (* x.re x.re) 0) 3) 0)) 0)
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
x.im
(+ (* (+ (* x.re x.re) 0) 3) 0)
(fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x.re x.re) 0)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
0
#s(literal 0 binary64)
3
#s(literal 3 binary64)
(/ 1 (/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* x.im x.im) 0)
(fma.f64 x.im x.im #s(literal 0 binary64))
x.im
0
#s(literal 0 binary64)
(- 0 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
(fma.f64 x.im (fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* x.im (* x.im x.im)) 0)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
x.im
(* x.im x.im)
(fma.f64 x.im x.im #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(+ (* x.re x.re) 0)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
(/ 3 (* x.im x.im))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
3
#s(literal 3 binary64)
-1
#s(literal -1 binary64)

localize90.0ms (0.8%)

Memory
0.1MiB live, 194.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64))
✓accuracy99.6%
(/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))
✓accuracy82.8%
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
✓accuracy77.5%
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x.im)
✓accuracy99.8%
(fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
✓accuracy100.0%
(fma.f64 x.re x.re #s(literal 0 binary64))
✓accuracy99.8%
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
✓accuracy90.8%
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy99.8%
(*.f64 x.im (*.f64 x.im x.im))
✓accuracy100.0%
(*.f64 x.re #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 x.im x.im)
✓accuracy96.4%
(fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
✓accuracy95.4%
(*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
Samples
50.0ms256×0valid
Compiler

Compiled 180 to 35 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 16.0ms (47.6% of total)
ival-add: 9.0ms (26.8% of total)
ival-div: 5.0ms (14.9% of total)
ival-sub: 3.0ms (8.9% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
19 → 300
Calls
Call 1
Inputs
#<alt (+ (* x.re (* x.re -3)) (* x.im x.im))>
#<alt (* x.re -3)>
#<alt (- 0 (* x.im (+ (* x.re (* x.re -3)) (* x.im x.im))))>
#<alt (* x.im (+ (* x.re (* x.re -3)) (* x.im x.im)))>
#<alt (- 0 (* x.im (* x.im x.im)))>
#<alt (* x.im (* x.im x.im))>
#<alt (* x.im x.im)>
#<alt (+ (* x.im (+ (* (+ (* x.re x.re) 0) 3) 0)) 0)>
#<alt (+ (* (+ (* x.re x.re) 0) 3) 0)>
#<alt (+ (* x.re x.re) 0)>
#<alt (/ 1 (/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)))>
#<alt (/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0))>
#<alt (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)>
#<alt (+ (* x.im x.im) 0)>
#<alt (+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)>
#<alt (+ (* x.im (* x.im x.im)) 0)>
#<alt (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)>
#<alt (- 0 x.im)>
#<alt (/ 3 (* x.im x.im))>
Outputs
#<alt (pow x.im 2)>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (* -3 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* -3 (pow x.re 2))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))>
#<alt (* -3 (pow x.re 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (+ (* -3 (pow x.re 2)) (pow x.im 2))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* -3 x.re)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (pow x.im 3)>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<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 (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))>
#<alt (* 3 (/ (pow x.re 2) (pow x.im 2)))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt (/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt -1>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (/ 3 (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))>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x.re
@0
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
1.0ms
x.re
@inf
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
0.0ms
x.im
@-inf
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
0.0ms
x.im
@0
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
0.0ms
x.im
@-inf
(+ (* x.im (+ (* (+ (* x.re x.re) 0) 3) 0)) 0)

rewrite473.0ms (4.3%)

Memory
-32.2MiB live, 736.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 038×accelerator-lowering-fma.f32
4 038×accelerator-lowering-fma.f64
3 100×*-lowering-*.f32
3 100×*-lowering-*.f64
2 318×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033116
1241115
22990105
08836100
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 519
Calls
Call 1
Inputs
(+ (* x.re (* x.re -3)) (* x.im x.im))
(* x.re -3)
(- 0 (* x.im (+ (* x.re (* x.re -3)) (* x.im x.im))))
(* x.im (+ (* x.re (* x.re -3)) (* x.im x.im)))
(- 0 (* x.im (* x.im x.im)))
(* x.im (* x.im x.im))
(* x.im x.im)
(+ (* x.im (+ (* (+ (* x.re x.re) 0) 3) 0)) 0)
(+ (* (+ (* x.re x.re) 0) 3) 0)
(+ (* x.re x.re) 0)
(/ 1 (/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)))
(/ 1 (+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0))
(+ (* (+ (* x.im x.im) 0) (- 0 x.im)) 0)
(+ (* x.im x.im) 0)
(+ (* (+ (* x.im (* x.im x.im)) 0) (+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)) 0)
(+ (* x.im (* x.im x.im)) 0)
(+ (* (+ (* x.re x.re) 0) (/ 3 (* x.im x.im))) -1)
(- 0 x.im)
(/ 3 (* x.im x.im))
Outputs
(+.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(+.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(+.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(+.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(+.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(-.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(-.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))))
(-.f64 (-.f64 (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 #s(literal -3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 x.im x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 x.im x.im (+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (fma.f64 x.im (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))) (fma.f64 x.im (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 x.im (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 x.im (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64))) (fma.f64 x.im (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64)))))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 x.im (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) (fma.f64 x.im (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re (fma.f64 x.im x.im #s(literal 0 binary64)))))))
(/.f64 (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))) (-.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
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(*.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (/.f64 #s(literal -3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))) #s(literal 1 binary64))))
x.im
(+.f64 x.im #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x.im)
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im)
(-.f64 (/.f64 #s(literal 0 binary64) x.im) x.im)
(fma.f64 x.im #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x.im) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x.im #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x.im #s(literal 0 binary64))
(neg.f64 x.im)
(/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(/.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x.im #s(literal 1 binary64))
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (/.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 #s(literal -3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x.im (/.f64 #s(literal -3 binary64) x.im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal -3 binary64) x.im) x.im)
(/.f64 (neg.f64 (/.f64 #s(literal -3 binary64) x.im)) x.im)
(pow.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x.im (/.f64 #s(literal -3 binary64) x.im)) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 #s(literal 1 binary64) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal -3 binary64) x.im))
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))

simplify531.0ms (4.8%)

Memory
22.5MiB live, 381.9MiB allocated
Algorithm
1×egg-herbie
Rules
6 700×accelerator-lowering-fma.f32
6 700×accelerator-lowering-fma.f64
3 594×*-lowering-*.f32
3 594×*-lowering-*.f64
1 870×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0591872
11581836
24431836
318521836
451121836
574891836
082851782
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* -3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* -3 (* x.im (pow x.re 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(pow x.im 3)
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(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)
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
-1
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ 3 (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))
Outputs
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* -3 (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* -3 (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* -3 (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)))
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 x.im x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
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(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* (pow x.re 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* 3 (/ (pow x.re 2) (pow x.im 2)))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.im 2))
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)
(fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal -1 binary64))
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(* -1 x.im)
(-.f64 #s(literal 0 binary64) x.im)
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/ 3 (pow x.im 2))
(/.f64 #s(literal 3 binary64) (fma.f64 x.im x.im #s(literal 0 binary64)))

eval410.0ms (3.7%)

Memory
10.9MiB live, 342.1MiB allocated
Compiler

Compiled 70 442 to 3 198 computations (95.5% saved)

prune440.0ms (4%)

Memory
-36.1MiB live, 393.8MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 952111 963
Fresh8715
Picked325
Done011
Total1 963211 984
Accuracy
100.0%
Counts
1 984 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
✓95.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
33.4%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 (/.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64))))) (fma.f64 x.im (-.f64 x.im x.re) (fma.f64 x.re x.re #s(literal 0 binary64)))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
57.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
73.9%
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
▶53.0%
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
53.0%
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
62.6%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
8.5%
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
▶16.8%
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
19.4%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)))
▶62.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
▶89.3%
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
89.2%
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) x.re (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
8.5%
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
✓91.9%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
62.5%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))))
✓62.5%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
53.4%
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
▶28.1%
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
53.4%
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
Compiler

Compiled 671 to 348 computations (48.1% saved)

simplify579.0ms (5.3%)

Memory
6.7MiB live, 366.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x.re x.re #s(literal 0 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff64
(fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
✓cost-diff2240
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x.im x.im #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
✓cost-diff1216
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
✓cost-diff-64
(*.f64 x.re x.re)
✓cost-diff0
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))
✓cost-diff64
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
✓cost-diff0
(fma.f64 x.im x.im #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im x.im #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
✓cost-diff384
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
Rules
6 558×accelerator-lowering-fma.f32
6 558×accelerator-lowering-fma.f64
3 680×*-lowering-*.f32
3 680×*-lowering-*.f64
1 364×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034147
191132
2237125
3718119
43110119
56442119
08069118
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- 0 (+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0)))
0
(+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0))
(* x.re -3)
x.re
-3
(* x.re x.im)
x.im
(+ (* x.im (+ (* x.im x.im) 0)) 0)
(+ (* x.im x.im) 0)
(* (+ (* x.im x.im) 0) x.im)
(+ (* x.im x.im) 0)
x.im
0
(+ (* x.im (+ (* (* x.re x.re) 3) 0)) 0)
x.im
(+ (* (* x.re x.re) 3) 0)
(* x.re x.re)
x.re
3
0
(/ 1 (/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0)))
1
(/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0))
-1
(+ (* x.im (+ (* x.im x.im) 0)) 0)
x.im
(+ (* x.im x.im) 0)
0
(/ (* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im) (+ (* (+ (* x.re x.re) 0) 3) 0))
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
(+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0)
(+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0)
(+ (* x.re x.re) 0)
x.re
0
9
x.im
(+ (* (+ (* x.re x.re) 0) 3) 0)
3
Outputs
(- 0 (+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0)))
(fma.f64 x.im (fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0))
(fma.f64 x.im (fma.f64 x.re (fma.f64 x.re #s(literal -3 binary64) #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.re -3)
(fma.f64 x.re #s(literal -3 binary64) #s(literal 0 binary64))
x.re
-3
#s(literal -3 binary64)
(* x.re x.im)
(fma.f64 x.re x.im #s(literal 0 binary64))
x.im
(+ (* x.im (+ (* x.im x.im) 0)) 0)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x.im x.im) 0)
(fma.f64 x.im x.im #s(literal 0 binary64))
(* (+ (* x.im x.im) 0) x.im)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x.im x.im) 0)
(fma.f64 x.im x.im #s(literal 0 binary64))
x.im
0
#s(literal 0 binary64)
(+ (* x.im (+ (* (* x.re x.re) 3) 0)) 0)
(fma.f64 x.re (*.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
x.im
(+ (* (* x.re x.re) 3) 0)
(fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.re x.re)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
3
#s(literal 3 binary64)
0
#s(literal 0 binary64)
(/ 1 (/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0)))
(fma.f64 x.im (fma.f64 x.im (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
-1
#s(literal -1 binary64)
(+ (* x.im (+ (* x.im x.im) 0)) 0)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
x.im
(+ (* x.im x.im) 0)
(fma.f64 x.im x.im #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ (* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im) (+ (* (+ (* x.re x.re) 0) 3) 0))
(fma.f64 x.re (*.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
(fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im #s(literal 9 binary64)) #s(literal 0 binary64))
(+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0)
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re (*.f64 x.re #s(literal 9 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0)
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x.re x.re) 0)
(fma.f64 x.re x.re #s(literal 0 binary64))
x.re
0
#s(literal 0 binary64)
9
#s(literal 9 binary64)
x.im
(+ (* (+ (* x.re x.re) 0) 3) 0)
(fma.f64 x.re (fma.f64 x.re #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
3
#s(literal 3 binary64)

localize252.0ms (2.3%)

Memory
0.9MiB live, 193.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy99.8%
(fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
✓accuracy95.0%
(*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im)
✓accuracy38.7%
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
✓accuracy100.0%
(fma.f64 x.im x.im #s(literal 0 binary64))
✓accuracy99.8%
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
✓accuracy99.2%
(/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
✓accuracy100.0%
(*.f64 x.re x.re)
✓accuracy99.8%
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64))
✓accuracy90.8%
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x.im x.im #s(literal 0 binary64))
✓accuracy99.8%
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
✓accuracy100.0%
(*.f64 x.re x.im)
✓accuracy100.0%
(*.f64 x.re #s(literal -3 binary64))
✓accuracy99.8%
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓accuracy90.1%
(fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
Samples
181.0ms256×0valid
Compiler

Compiled 199 to 36 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult: 150.0ms (90.7% of total)
ival-add: 9.0ms (5.4% of total)
ival-div: 5.0ms (3% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#<alt (+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0))>
#<alt (- 0 (+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0)))>
#<alt (+ (* x.im (+ (* x.im x.im) 0)) 0)>
#<alt (+ (* x.im x.im) 0)>
#<alt (* (+ (* x.im x.im) 0) x.im)>
#<alt (+ (* x.im (+ (* (* x.re x.re) 3) 0)) 0)>
#<alt (+ (* (* x.re x.re) 3) 0)>
#<alt (* x.re x.re)>
#<alt (/ 1 (/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0)))>
#<alt (/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0))>
#<alt (/ (* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im) (+ (* (+ (* x.re x.re) 0) 3) 0))>
#<alt (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0)>
#<alt (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0)>
#<alt (+ (* x.re x.re) 0)>
#<alt (* x.re -3)>
#<alt (* x.re x.im)>
#<alt (* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)>
#<alt (+ (* (+ (* x.re x.re) 0) 3) 0)>
Outputs
#<alt (pow x.im 3)>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))>
#<alt (* -3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))>
#<alt (* -1 (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (/ -1 (pow x.im 3))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (* 9 (pow x.re 4))>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<alt (pow x.re 4)>
#<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 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 (* 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 (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 9 (* x.im (pow x.re 4)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x.im
@0
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
0.0ms
x.im
@inf
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
0.0ms
x.re
@0
(+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0)
0.0ms
x.re
@0
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
0.0ms
x.re
@inf
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)

rewrite644.0ms (5.9%)

Memory
0.4MiB live, 1 084.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 208×accelerator-lowering-fma.f32
7 208×accelerator-lowering-fma.f64
3 908×/-lowering-/.f32
3 908×/-lowering-/.f64
3 386×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034111
123592
2219491
0842789
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 765
Calls
Call 1
Inputs
(+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0))
(- 0 (+ (* (* x.re -3) (* x.re x.im)) (+ (* x.im (+ (* x.im x.im) 0)) 0)))
(+ (* x.im (+ (* x.im x.im) 0)) 0)
(+ (* x.im x.im) 0)
(* (+ (* x.im x.im) 0) x.im)
(+ (* x.im (+ (* (* x.re x.re) 3) 0)) 0)
(+ (* (* x.re x.re) 3) 0)
(* x.re x.re)
(/ 1 (/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0)))
(/ -1 (+ (* x.im (+ (* x.im x.im) 0)) 0))
(/ (* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im) (+ (* (+ (* x.re x.re) 0) 3) 0))
(+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0)
(+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0)
(+ (* x.re x.re) 0)
(* x.re -3)
(* x.re x.im)
(* (+ (* (+ (* (+ (* x.re x.re) 0) (+ (* x.re x.re) 0)) 0) 9) 0) x.im)
(+ (* (+ (* x.re x.re) 0) 3) 0)
Outputs
(+.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im))) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64)) (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(pow.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 27 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 9 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))

simplify333.0ms (3%)

Memory
-4.5MiB live, 644.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 000×accelerator-lowering-fma.f32
8 000×accelerator-lowering-fma.f64
3 132×*-lowering-*.f32
3 132×*-lowering-*.f64
2 238×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0481575
11231575
23571575
313841575
446401575
570841575
082381557
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(pow x.im 3)
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* -3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(* -3 (* x.im (pow x.re 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(* -1 (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(/ -1 (pow x.im 3))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(* 9 (pow x.re 4))
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(pow x.re 4)
(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 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)
(* 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)
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 9 (* x.im (pow x.re 4)))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
Outputs
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* -3 (* x.im (pow x.re 2))) (pow x.im 3))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.re 2) (+ (* -3 x.im) (/ (pow x.im 3) (pow x.re 2))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* x.im (+ (* -3 (pow x.re 2)) (pow x.im 2)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1)))
(fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.re 2) (- (* -1 (/ (pow x.im 3) (pow x.re 2))) (* -3 x.im)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* x.im (- (* -1 (pow x.im 2)) (* -3 (pow x.re 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (pow x.im 3))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 2)
(fma.f64 x.im x.im #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x.im 3)
(fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x.im (pow x.re 2)))
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(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im #s(literal 9 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im #s(literal 9 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im #s(literal 9 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im #s(literal 9 binary64)))
(* 9 (* x.im (pow x.re 4)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im #s(literal 9 binary64)))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))
(* 3 (pow x.re 2))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) #s(literal 0 binary64))

eval360.0ms (3.3%)

Memory
9.3MiB live, 701.2MiB allocated
Compiler

Compiled 82 060 to 4 407 computations (94.6% saved)

prune273.0ms (2.5%)

Memory
2.8MiB live, 726.8MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New2 41382 421
Fresh7613
Picked415
Done033
Total2 424182 442
Accuracy
100.0%
Counts
2 442 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
✓95.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
57.2%
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
73.9%
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
✓53.0%
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
62.6%
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
8.5%
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
16.8%
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re))
62.5%
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
53.4%
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
62.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im))
12.9%
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im))))
✓91.9%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
✓62.5%
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
53.4%
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
57.4%
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
28.1%
(*.f64 (*.f64 x.im x.im) x.im)
57.4%
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
Compiler

Compiled 1 295 to 344 computations (73.4% saved)

regimes45.0ms (0.4%)

Memory
16.9MiB live, 95.0MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) x.re (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) x.im))
(fma.f64 x.re (neg.f64 (*.f64 x.re (*.f64 x.im (fma.f64 x.im (/.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal -3 binary64))))) #s(literal 0 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)))
(fma.f64 (fma.f64 x.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.re))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (/.f64 (fma.f64 (fma.f64 x.re (*.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))))))
(*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)) (*.f64 x.re (+.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) (*.f64 x.im x.im) #s(literal 0 binary64)))) x.re))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (*.f64 (/.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 x.re (fma.f64 x.re x.re #s(literal 0 binary64))))) (fma.f64 x.im (-.f64 x.im x.re) (fma.f64 x.re x.re #s(literal 0 binary64)))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re x.im) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (fma.f64 x.im (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im))))
(pow.f64 (-.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (+.f64 x.im x.im)) (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
(+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re))) (*.f64 (*.f64 x.im x.im) (*.f64 (*.f64 (*.f64 x.im x.im) x.im) x.im))) x.im) (fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.re #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x.im x.re #s(literal 0 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64)))))) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.re) (*.f64 x.re x.re)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (fma.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)))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Calls

3 calls:

15.0ms
x.im
14.0ms
x.re
14.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.9%2x.re
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes33.0ms (0.3%)

Memory
-23.4MiB live, 18.3MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) x.re (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(/.f64 x.im (/.f64 #s(literal 1/3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64)))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Calls

2 calls:

25.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
6.0ms
x.im
Results
AccuracySegmentsBranch
99.1%3x.im
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Calls

1 calls:

5.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes16.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 x.im (fma.f64 #s(literal 3 binary64) (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -3 binary64)))
Outputs
(fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Calls

3 calls:

5.0ms
x.re
5.0ms
x.im
4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.1%2x.im
90.7%2x.re
98.9%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes9.0ms (0.1%)

Memory
-31.8MiB live, 5.9MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Outputs
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))
Calls

1 calls:

8.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
98.9%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 x.im (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) x.im))
(fma.f64 x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) #s(literal 0 binary64))
(fma.f64 x.im (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64)))
Calls

1 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.2%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.2%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im x.im) x.im)
Calls

3 calls:

2.0ms
x.re
2.0ms
x.im
2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
67.8%2x.re
62.5%1x.im
65.3%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes5.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) x.im)
Outputs
(*.f64 (*.f64 x.im x.im) x.im)
Calls

3 calls:

1.0ms
x.re
1.0ms
x.im
1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
28.1%1x.im
28.1%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
28.1%1x.re
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch4.0ms (0%)

Memory
-35.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.3339329349837245e-196
4.6255963658809924e-191
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.1785888577811245e-303
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.1785888577811245e-303
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.1785888577811245e-303
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1785888577811245e-303
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1785888577811245e-303
0.0
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.6879064705875862e+201
6.399163732613936e+201
Samples
5.0ms80×0valid
Compiler

Compiled 114 to 76 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (82.6% of total)
ival-add: 1.0ms (27.5% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify25.0ms (0.2%)

Memory
-18.1MiB live, 19.0MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
24×+-commutative_binary64
18×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059417
1102417
2130417
3141417
4147417
5149417
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4208108721238699/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)))
(if (<=.f64 x.re #s(literal 4100000000000000249826948014296520281315560842303510508611466668794694718266390389986156016632935214959529603776346289633555523426636132674206640390442731537014032285415885022715669013669678481387028480 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) x.im))
(*.f64 (*.f64 x.im x.im) x.im)
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64)))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 x.re (*.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 4208108721238699/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 4208108721238699/10520271803096747014481979765760257331100679605646347718996561806137464308594161644227333072555176902453965937712356435426038864500367607726255629541303761699910447342256889196383327515768645434542586503471562752 binary64)) (*.f64 (fma.f64 x.im x.im (fma.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal -3 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 (fma.f64 x.re (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.im x.im)) (-.f64 #s(literal 0 binary64) x.im)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (+.f64 x.im x.re) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)) #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64)) (if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.im) (*.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 x.re (*.f64 (*.f64 x.re #s(literal 3 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.re (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 4100000000000000249826948014296520281315560842303510508611466668794694718266390389986156016632935214959529603776346289633555523426636132674206640390442731537014032285415885022715669013669678481387028480 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.im x.im))) (*.f64 (*.f64 x.im x.im) x.im))
(if (<=.f64 x.re #s(literal 4100000000000000249826948014296520281315560842303510508611466668794694718266390389986156016632935214959529603776346289633555523426636132674206640390442731537014032285415885022715669013669678481387028480 binary64)) (*.f64 x.im (-.f64 #s(literal 0 binary64) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im x.im) x.im)
(*.f64 x.im (*.f64 x.im x.im))

soundness1.4s (12.7%)

Memory
-8.8MiB live, 893.3MiB allocated
Rules
16 068×accelerator-lowering-fma.f32
16 068×accelerator-lowering-fma.f64
12 136×accelerator-lowering-fma.f32
12 136×accelerator-lowering-fma.f64
7 208×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034111
123592
2219491
0842789
01151
16939
052638
033116
1241115
22990105
08836100
02034471
16963963
222253615
376683615
081683525
057891
1182855
2585855
32562855
46883855
08692855
041161
1315127
23436127
08462121
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×node limit
Compiler

Compiled 948 to 356 computations (62.4% saved)

preprocess187.0ms (1.7%)

Memory
20.2MiB live, 218.8MiB allocated
Compiler

Compiled 1 346 to 340 computations (74.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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