math.cube on complex, real part

Time bar (total: 6.4s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.5s (24%)

Memory
8.8MiB live, 1 727.1MiB allocated; 360ms collecting garbage
Samples
920.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 678.0ms
ival-mult: 474.0ms (69.9% of total)
ival-sub: 144.0ms (21.2% of total)
ival-add: 49.0ms (7.2% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain284.0ms (4.5%)

Memory
-15.9MiB live, 425.3MiB allocated; 59ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
160-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
140-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
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.im)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))nan-rescue190
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow106
(*.f64 x.re x.re)overflow61
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow105
(*.f64 x.im x.im)overflow60
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)overflow57
(*.f64 x.im x.re)overflow26
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow26
(*.f64 x.re x.im)overflow26
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue160
(*.f64 x.re x.re)overflow61
(*.f64 x.im x.im)overflow60
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)n*o140
Confusion
Predicted +Predicted -
+390
-0217
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3900
-00217
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0217
129
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms512×0valid
Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 19.0ms (71.4% of total)
ival-sub: 4.0ms (15% of total)
ival-add: 2.0ms (7.5% of total)
ival-true: 1.0ms (3.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess226.0ms (3.5%)

Memory
21.4MiB live, 299.6MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031103
110587
238585
3111556
4388655
01119
02019
14317
214017
348214
4136811
5447311
0827011
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x.re) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64)))
Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify203.0ms (3.2%)

Memory
3.4MiB live, 187.7MiB allocated; 50ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff2
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff6
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01165
02065
14359
214059
348256
4136853
5447353
0827053
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x.re) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize46.0ms (0.7%)

Memory
8.7MiB live, 54.2MiB allocated; 5ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy3.400469746237806
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy3.4960813649812352
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy3.8476562500000004
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Samples
38.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sub: 20.0ms (66.6% of total)
ival-mult: 9.0ms (30% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory
-16.6MiB live, 27.1MiB allocated; 9ms collecting garbage
Counts
5 → 22
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (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)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify279.0ms (4.4%)

Memory
7.5MiB live, 415.4MiB allocated; 111ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056237
1172217
2610208
33532208
08354202
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (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)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal 2 binary64))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (*.f64 x.im x.im))

rewrite53.0ms (0.8%)

Memory
6.2MiB live, 108.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
18839
067938
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 115
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
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(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (*.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.im)))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (fabs.f64 x.im)) (fabs.f64 x.im)))
(fma.f64 (neg.f64 (fabs.f64 x.re)) (neg.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (fabs.f64 (fabs.f64 x.re)) (fabs.f64 (fabs.f64 x.re)) (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))
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eval39.0ms (0.6%)

Memory
-15.5MiB live, 29.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 247 to 479 computations (85.2% saved)

prune26.0ms (0.4%)

Memory
-26.6MiB live, 19.4MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1285133
Fresh000
Picked101
Done000
Total1295134
Accuracy
100.0%
Counts
134 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
75.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
88.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
73.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
53.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 296 to 174 computations (41.2% saved)

simplify165.0ms (2.6%)

Memory
50.6MiB live, 230.5MiB allocated; 35ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -3 binary64) x.re)
cost-diff0
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff0
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
cost-diff0
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
cost-diff0
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) x.im)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
cost-diff0
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036287
055287
1120277
2375277
31365262
45179262
08223257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
x.re
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re x.im)
x.im
#s(literal -3 binary64)
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal 1 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.im) (*.f64 x.im x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.im) (*.f64 x.im x.re))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) x.re)
x.re
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re x.im)
x.im
#s(literal -3 binary64)
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal 1 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)

localize207.0ms (3.2%)

Memory
-32.6MiB live, 263.6MiB allocated; 47ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
accuracy1.0455059394848434
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
accuracy6.763342325128889
(/.f64 (*.f64 x.im x.im) x.re)
accuracy13.25925265130808
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy0.0
(pow.f64 x.re #s(literal 3 binary64))
accuracy23.941531405119054
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy0.12890625
(/.f64 (/.f64 x.re x.im) x.im)
accuracy1.2146574743386684
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy1.7268694558582167
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy14.486162372355976
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.109375
(*.f64 (*.f64 x.im x.re) x.im)
accuracy0.16015625
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
accuracy29.706697899418604
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
accuracy0.0
(*.f64 x.im x.im)
accuracy0.0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy3.372571710726913
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy3.562487614981235
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
Samples
164.0ms237×0valid
8.0ms3valid
3.0ms4valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 243 to 33 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 39.0ms (42.2% of total)
ival-mult: 34.0ms (36.8% of total)
ival-add: 7.0ms (7.6% of total)
adjust: 5.0ms (5.4% of total)
ival-pow: 4.0ms (4.3% of total)
ival-sub: 3.0ms (3.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
13.9MiB live, 57.3MiB allocated; 17ms collecting garbage
Counts
20 → 42
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 (*.f64 x.im x.im) x.re)
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(pow x.re 3)
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(/ -3 x.re)
(/ x.re (pow x.im 2))
(/ (pow x.im 2) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x.im
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* 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.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow x.re 3)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (/ -3 x.re) (/ (/ x.re x.im) x.im) (/ (* x.im x.im) x.re))
6.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* 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.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow x.re 3)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (/ -3 x.re) (/ (/ x.re x.im) x.im) (/ (* x.im x.im) x.re))
5.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* 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.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow x.re 3)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (/ -3 x.re) (/ (/ x.re x.im) x.im) (/ (* x.im x.im) x.re))
5.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* 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.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow x.re 3)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (/ -3 x.re) (/ (/ x.re x.im) x.im) (/ (* x.im x.im) x.re))
4.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* 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.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow x.re 3)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (/ -3 x.re) (/ (/ x.re x.im) x.im) (/ (* x.im x.im) x.re))

simplify177.0ms (2.8%)

Memory
-8.1MiB live, 174.0MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076427
1210381
2732365
34886365
08240346
Stop Event
iter limit
node limit
Counts
42 → 42
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(pow x.re 3)
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(/ -3 x.re)
(/ x.re (pow x.im 2))
(/ (pow x.im 2) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.re)
-3
#s(literal -3 binary64)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64))
(/ -3 x.re)
(/.f64 #s(literal -3 binary64) x.re)
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(/ (pow x.re 3) (pow x.im 2))
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 2) (pow x.im 2))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.re x.re))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.re)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) (*.f64 x.im x.im))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.re)
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64))

rewrite216.0ms (3.4%)

Memory
40.0MiB live, 276.3MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036256
055256
1216236
21522232
08240227
Stop Event
iter limit
node limit
iter limit
Counts
20 → 381
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 (*.f64 x.im x.im) x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 x.re (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re x.re)))) (/.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re x.re)))))
(+.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))))))
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re)))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (neg.f64 x.re))))
(/.f64 #s(literal 3 binary64) (neg.f64 x.re))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 x.re)))
(/.f64 #s(literal -3 binary64) x.re)
(neg.f64 (/.f64 #s(literal 3 binary64) x.re))
(/.f64 (neg.f64 (neg.f64 x.re)) (*.f64 x.im x.im))
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 (neg.f64 (neg.f64 x.im))))
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 x.im))
(/.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (/.f64 x.re x.im) (neg.f64 (neg.f64 x.im)))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re (*.f64 x.im x.im))
(neg.f64 (/.f64 (/.f64 (neg.f64 x.re) x.im) x.im))
(*.f64 (/.f64 x.im x.re) x.im)
(*.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) x.re))
(*.f64 x.im (/.f64 x.im x.re))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 (neg.f64 (neg.f64 x.re))))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.re))
(/.f64 (*.f64 x.im x.im) (neg.f64 (neg.f64 x.re)))
(/.f64 (*.f64 x.im x.im) x.re)
(neg.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fabs.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fabs.f64 (/.f64 (*.f64 x.im x.im) x.re))

eval77.0ms (1.2%)

Memory
-51.7MiB live, 156.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 21 515 to 1 897 computations (91.2% saved)

prune21.0ms (0.3%)

Memory
-2.9MiB live, 56.6MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New4688476
Fresh000
Picked235
Done000
Total47011481
Accuracy
100.0%
Counts
481 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
62.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
75.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
88.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
89.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
53.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
65.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
20.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
62.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
53.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
53.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 560 to 323 computations (42.3% saved)

simplify165.0ms (2.6%)

Memory
41.9MiB live, 174.8MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
cost-diff2
(*.f64 (*.f64 x.re x.re) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
cost-diff2
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
cost-diff2
(*.f64 (*.f64 x.re x.re) x.re)
cost-diff0
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
cost-diff0
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038312
057310
1121290
2371290
31304275
43769260
08211253
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
(*.f64 (*.f64 x.re x.re) x.re)
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 x.re x.re)
x.re
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal 1 binary64)
(*.f64 (*.f64 x.re x.re) x.re)
(*.f64 x.re x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im) x.im)
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im)
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re)
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 2 binary64)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) x.re)
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 x.re x.re)
x.re
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
(*.f64 (fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) x.re) #s(literal 1 binary64))
(/.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(/.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal 1 binary64)
(*.f64 (*.f64 x.re x.re) x.re)
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re x.re)

localize147.0ms (2.3%)

Memory
-32.9MiB live, 156.1MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (*.f64 x.re x.re) x.re)
accuracy1.0455059394848434
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
accuracy6.763342325128889
(/.f64 (*.f64 x.im x.im) x.re)
accuracy13.25925265130808
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
accuracy0.0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
accuracy0.12890625
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
accuracy5.550757855403476
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
accuracy7.434286814938786
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
accuracy0.0
(*.f64 x.im x.re)
accuracy0.0
(*.f64 #s(literal -3 binary64) x.im)
accuracy0.14291000976844204
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
accuracy29.706697899418604
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.109375
(*.f64 (*.f64 x.re x.re) x.re)
accuracy23.941531405119054
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
accuracy0.2109375
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
accuracy1.2796634274535568
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
accuracy1.7268694558582167
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
accuracy3.6591608087631005
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
Samples
108.0ms237×0valid
7.0ms3valid
3.0ms4valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 259 to 33 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 49.0ms (47.7% of total)
ival-pow2: 34.0ms (33.1% of total)
ival-div: 5.0ms (4.9% of total)
ival-sub: 5.0ms (4.9% of total)
ival-add: 5.0ms (4.9% of total)
adjust: 4.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
-11.0MiB live, 44.8MiB allocated; 10ms collecting garbage
Counts
20 → 40
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.re x.re) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(/.f64 (*.f64 x.im x.im) x.re)
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(pow x.re 3)
(pow x.re 2)
(* x.im x.re)
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.im 2) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(* -3 x.im)
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) -3) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (* (* x.re x.re) x.re)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow (/ x.re x.im) 2) (* (* x.im x.im) -3) (/ (* x.im x.im) x.re))
4.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) -3) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (* (* x.re x.re) x.re)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow (/ x.re x.im) 2) (* (* x.im x.im) -3) (/ (* x.im x.im) x.re))
3.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) -3) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (* (* x.re x.re) x.re)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow (/ x.re x.im) 2) (* (* x.im x.im) -3) (/ (* x.im x.im) x.re))
3.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) -3) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (* (* x.re x.re) x.re)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow (/ x.re x.im) 2) (* (* x.im x.im) -3) (/ (* x.im x.im) x.re))
3.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (pow (/ x.re x.im) 2) -3) x.re) (* (* x.re x.re) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.re) (* -3 x.im)) (* x.im x.re) (* -3 x.im) (+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) -3) x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* x.im x.im) -3) x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (* (* x.re x.re) x.re)) (+ (* (/ -3 x.re) (/ (* x.im x.im) x.re)) 1) (pow (/ x.re x.im) 2) (* (* x.im x.im) -3) (/ (* x.im x.im) x.re))

simplify135.0ms (2.1%)

Memory
42.0MiB live, 132.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092440
1268402
2937386
35058386
08258367
Stop Event
iter limit
node limit
Counts
40 → 40
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -3 x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(pow x.re 3)
(pow x.re 2)
(* x.im x.re)
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(/ (pow x.re 2) (pow x.im 2))
(/ (pow x.im 2) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
1
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(* -3 x.im)
(* -3 (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* x.im x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* -3 (/ (pow x.im 2) (pow x.re 2)))
(*.f64 (*.f64 (/.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.im x.re))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re) x.re) x.re)
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/ (pow x.im 2) x.re)
(/.f64 (*.f64 x.im x.im) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re) x.re) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re) x.re) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 3) x.im)
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(*.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 3) (pow x.im 2))
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.re #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2))))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re) x.re) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x.im)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/.f64 (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) x.im)
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 x.im x.re) x.re) x.re)
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(*.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) x.im)

rewrite207.0ms (3.2%)

Memory
-15.0MiB live, 217.6MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038267
057257
1218237
21500237
09029230
Stop Event
iter limit
node limit
iter limit
Counts
20 → 364
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im)
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
(*.f64 (*.f64 x.re x.re) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re))
(fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(/.f64 (*.f64 x.im x.im) x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) (neg.f64 x.im)) (neg.f64 x.im))
(*.f64 (*.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.im) (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im) x.im)
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 x.im (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im))
(*.f64 x.re (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im) x.re)
(*.f64 (*.f64 x.im (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) x.re)
(*.f64 (*.f64 x.im x.re) (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re) x.im)
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re))
(*.f64 x.re (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.im))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x.im x.re))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (*.f64 x.im x.re))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x.im x.re)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) (*.f64 x.im x.re)) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) x.re)
(*.f64 x.re (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re))) (-.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 #s(literal -3 binary64) x.re)))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re))) (-.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x.re)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re))) (-.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 #s(literal -3 binary64) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x.re)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.re x.re) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.re x.re) (-.f64 (*.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re)) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 x.re (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64))) x.re) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 x.re (+.f64 #s(literal -27 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re (*.f64 #s(literal -3 binary64) x.re))
(fma.f64 x.re #s(literal -3 binary64) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(fma.f64 x.re #s(literal -3 binary64) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(+.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) (*.f64 #s(literal -3 binary64) x.re))
(+.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x.re))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x.re x.re) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x.re x.re) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (*.f64 x.re (neg.f64 x.re)) (neg.f64 x.re))
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) x.re))
(*.f64 (neg.f64 x.re) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
(*.f64 (*.f64 x.re x.re) x.re)
(*.f64 x.re (*.f64 x.re x.re))
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 3/2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(neg.f64 (pow.f64 x.re #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x.re #s(literal 3 binary64)))
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(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (*.f64 x.re (/.f64 x.re x.im))) (neg.f64 x.im))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) x.re)) (neg.f64 x.im))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) x.im)
(/.f64 (fabs.f64 (*.f64 x.re (/.f64 x.re x.im))) x.im)
(/.f64 (fabs.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) x.im)
(/.f64 (fabs.f64 (*.f64 (/.f64 x.re x.im) x.re)) x.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im)) (neg.f64 x.im))
(/.f64 (*.f64 x.re (/.f64 x.re x.im)) x.im)
(/.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re)) (neg.f64 x.im))
(/.f64 (*.f64 (/.f64 x.re x.im) x.re) x.im)
(/.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (*.f64 x.re (neg.f64 x.re)) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (neg.f64 (*.f64 x.re x.re)) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(sqrt.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x.im)) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (/.f64 x.im x.re) x.im)
(*.f64 (neg.f64 x.im) (/.f64 (neg.f64 x.im) x.re))
(*.f64 x.im (/.f64 x.im x.re))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 (neg.f64 (neg.f64 x.re))))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.re))
(/.f64 (*.f64 x.im x.im) (neg.f64 (neg.f64 x.re)))
(/.f64 (*.f64 x.im x.im) x.re)
(neg.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fabs.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fabs.f64 (/.f64 (*.f64 x.im x.im) x.re))

eval74.0ms (1.2%)

Memory
12.2MiB live, 120.8MiB allocated; 9ms collecting garbage
Compiler

Compiled 19 398 to 1 726 computations (91.1% saved)

prune78.0ms (1.2%)

Memory
-32.5MiB live, 58.5MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4453448
Fresh123
Picked145
Done033
Total44712459
Accuracy
100.0%
Counts
459 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
62.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
75.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
88.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
89.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
53.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
65.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
20.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
62.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
53.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
95.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
53.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 528 to 306 computations (42% saved)

simplify208.0ms (3.3%)

Memory
23.1MiB live, 263.4MiB allocated; 35ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
cost-diff0
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
cost-diff0
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
cost-diff0
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
cost-diff1
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
cost-diff0
(*.f64 #s(literal -3 binary64) x.re)
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
cost-diff0
(neg.f64 x.re)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
cost-diff2
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
cost-diff0
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
cost-diff0
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
cost-diff0
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045358
067361
1135340
2394340
31405325
44842320
08267320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
#s(literal -3 binary64)
x.im
(/.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
(*.f64 x.re x.re)
x.re
(neg.f64 x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
x.im
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
x.re
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
(/.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
#s(literal -3 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 2 binary64)
(*.f64 x.im x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
#s(literal -3 binary64)
x.im
(/.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
(pow.f64 (neg.f64 x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
(neg.f64 x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
x.im
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) x.re)
x.re
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
(/.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x.im x.re))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 x.re x.im)
x.re
x.im
#s(literal 2 binary64)
(*.f64 x.im x.re)

localize151.0ms (2.4%)

Memory
-4.1MiB live, 134.5MiB allocated; 7ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
accuracy0.2109375
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
accuracy1.2796634274535568
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
accuracy6.27890261413495
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
accuracy1.2146574743386684
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
accuracy1.7268694558582167
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
accuracy6.79733224668357
(/.f64 x.re (*.f64 x.im x.im))
accuracy14.486162372355976
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
accuracy0.0
(*.f64 #s(literal -3 binary64) x.re)
accuracy0.13671875
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
accuracy0.20703125
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
accuracy29.706697899418604
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.0
(neg.f64 x.re)
accuracy0.109375
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
accuracy50.642613752695624
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
accuracy0.037441259768442016
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
accuracy0.16796875
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
accuracy1.2796634274535568
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
accuracy5.9061939176583635
(/.f64 (*.f64 x.re x.re) x.im)
Samples
74.0ms223×0valid
32.0ms16×3valid
15.0ms4valid
4.0ms2valid
2.0ms1valid
Compiler

Compiled 274 to 38 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 32.0ms (36.8% of total)
ival-div: 26.0ms (29.9% of total)
adjust: 16.0ms (18.4% of total)
ival-add: 7.0ms (8.1% of total)
ival-sub: 3.0ms (3.5% of total)
ival-pow2: 3.0ms (3.5% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Counts
24 → 45
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
(*.f64 x.re x.re)
(neg.f64 x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(/.f64 x.re (*.f64 x.im x.im))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -1 (pow x.re 3))
(pow x.re 2)
(* -1 x.re)
(* -3 x.re)
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(/ (pow x.re 2) x.im)
(* -3 x.im)
(+ (* -3 x.im) (/ (pow x.re 2) x.im))
(/ x.re (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) x.im) (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) (+ -3 (pow (/ x.re x.im) 2)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (pow (/ x.re x.im) 2))
4.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) x.im) (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) (+ -3 (pow (/ x.re x.im) 2)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (pow (/ x.re x.im) 2))
3.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) x.im) (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) (+ -3 (pow (/ x.re x.im) 2)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (pow (/ x.re x.im) 2))
3.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) x.im) (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) (+ -3 (pow (/ x.re x.im) 2)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (pow (/ x.re x.im) 2))
3.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) x.im) (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (* (+ (* -3 x.im) (/ (* x.re x.re) x.im)) x.re) (* (* x.re x.re) (neg x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (neg x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.re) x.im) x.im) (* (* -3 x.re) x.im) (* -3 x.re) (+ (* (/ x.re (* x.im x.im)) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ x.re (* x.im x.im)) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) x.im) (* (+ -3 (pow (/ x.re x.im) 2)) (* x.im x.re)) (+ -3 (pow (/ x.re x.im) 2)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (/ x.re (* x.im x.im)) (pow (/ x.re x.im) 2))

simplify198.0ms (3.1%)

Memory
-53.2MiB live, 149.9MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100485
1303453
21071437
35662437
08240414
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (* x.im x.re))
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(* -1 (pow x.re 3))
(pow x.re 2)
(* -1 x.re)
(* -3 x.re)
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(/ (pow x.re 2) x.im)
(* -3 x.im)
(+ (* -3 x.im) (/ (pow x.re 2) x.im))
(/ x.re (pow x.im 2))
(/ (pow x.re 2) (pow x.im 2))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(/ (pow x.re 3) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 (* x.im x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(* x.re (+ (* -3 x.im) (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(* -1 (pow x.re 3))
(pow.f64 (neg.f64 x.re) #s(literal 3 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* -1 x.re)
(neg.f64 x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
-3
#s(literal -3 binary64)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* -3 x.im) (/ (pow x.re 2) x.im))
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(/ (pow x.re 2) (pow x.im 2))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 3) x.im)
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)
(* (pow x.re 3) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(*.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.re x.re))
(/ (pow x.re 3) (pow x.im 2))
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x.im)) x.re) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ x.im (pow x.re 2))) (/ 1 x.im))))
(*.f64 (-.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x.im)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) x.im) x.im)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) x.im)
(/.f64 (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.im)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.im)
(/.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* x.im (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) x.im)
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(*.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) x.im)
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64)) x.im)

rewrite208.0ms (3.3%)

Memory
8.1MiB live, 154.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045332
067335
1234304
21567302
08179297
Stop Event
iter limit
node limit
iter limit
Counts
24 → 492
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
(*.f64 x.re x.re)
(neg.f64 x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im)
(*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re))
(+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(/.f64 x.re (*.f64 x.im x.im))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
(*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)
(*.f64 x.im #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)))
#s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
(*.f64 x.re (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im))) (-.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im))) (-.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) (*.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) (*.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) (*.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)) (*.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (-.f64 (*.f64 (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))) x.re)) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) x.re)) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 (neg.f64 (*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))) x.re) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))))
(/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.re (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.re (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.im (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.im (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im))) (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal 3 binary64) x.im)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im))) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im)))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im)))))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im)))))
(fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im))
(fma.f64 (neg.f64 x.re) (/.f64 (neg.f64 x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.im #s(literal -3 binary64) (/.f64 (*.f64 x.re x.re) x.im))
(fma.f64 x.re (/.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))) (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(-.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 (neg.f64 x.re) (/.f64 x.re x.im)))
(-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 (neg.f64 x.im) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal 3 binary64) x.im))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))) (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))) (/.f64 (pow.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) (-.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))))))
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))) (/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) (/.f64 (*.f64 x.re x.re) x.im)) (-.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))))
(+.f64 (*.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im))
(+.f64 (/.f64 (*.f64 x.re x.re) x.im) (*.f64 #s(literal -3 binary64) x.im))
(/.f64 (neg.f64 (neg.f64 (/.f64 x.re x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (/.f64 x.re (neg.f64 x.im)) (neg.f64 x.im))
(/.f64 (neg.f64 (neg.f64 x.re)) (*.f64 x.im x.im))
(/.f64 (neg.f64 (/.f64 x.re x.im)) (neg.f64 x.im))
(/.f64 (/.f64 x.re x.im) (neg.f64 (neg.f64 x.im)))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(/.f64 x.re (*.f64 x.im x.im))
(neg.f64 (/.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(fabs.f64 (/.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(fabs.f64 (/.f64 x.re (*.f64 x.im x.im)))
(*.f64 (/.f64 (neg.f64 (neg.f64 x.re)) x.im) (/.f64 (neg.f64 (neg.f64 x.re)) x.im))
(*.f64 (/.f64 (neg.f64 (neg.f64 x.re)) x.im) (/.f64 x.re x.im))
(*.f64 (/.f64 x.re (neg.f64 (neg.f64 x.im))) (/.f64 x.re (neg.f64 (neg.f64 x.im))))
(*.f64 (/.f64 x.re (neg.f64 (neg.f64 x.im))) (/.f64 x.re x.im))
(*.f64 (neg.f64 (neg.f64 (/.f64 x.re x.im))) (neg.f64 (neg.f64 (/.f64 x.re x.im))))
(*.f64 (pow.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x.re (neg.f64 x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 x.re (neg.f64 x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)) x.re)
(*.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 (neg.f64 x.re) x.im))
(*.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re (neg.f64 x.im)))
(*.f64 (/.f64 x.re (neg.f64 x.im)) (/.f64 (neg.f64 x.re) x.im))
(*.f64 (/.f64 x.re (neg.f64 x.im)) (/.f64 x.re (neg.f64 x.im)))
(*.f64 (neg.f64 (/.f64 x.re x.im)) (neg.f64 (/.f64 x.re x.im)))
(*.f64 (/.f64 x.re x.im) (/.f64 (neg.f64 (neg.f64 x.re)) x.im))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re (neg.f64 (neg.f64 x.im))))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(*.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re)
(*.f64 (neg.f64 x.re) (/.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(*.f64 x.re (pow.f64 (/.f64 x.re (*.f64 (neg.f64 x.im) x.im)) #s(literal 1 binary64)))
(*.f64 x.re (pow.f64 (/.f64 x.re (*.f64 x.im x.im)) #s(literal 1 binary64)))
(*.f64 x.re (/.f64 x.re (*.f64 x.im x.im)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x.re x.im)))
(pow.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 2 binary64))
(pow.f64 (/.f64 x.re (neg.f64 x.im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) (neg.f64 (neg.f64 x.im)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) (neg.f64 (neg.f64 x.im)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x.re)) x.re) (*.f64 (neg.f64 (neg.f64 x.im)) x.im))
(/.f64 (*.f64 x.re (neg.f64 (neg.f64 x.re))) (*.f64 x.im (neg.f64 (neg.f64 x.im))))
(/.f64 (fabs.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re))) x.im)
(/.f64 (fabs.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im))) x.im)
(/.f64 (*.f64 (/.f64 x.re x.im) (neg.f64 x.re)) (neg.f64 x.im))
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) x.re) x.im) (neg.f64 x.im))
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 x.re x.im)) (neg.f64 x.im))
(/.f64 (neg.f64 (/.f64 (*.f64 x.re x.re) x.im)) (neg.f64 x.im))
(/.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) (neg.f64 (neg.f64 x.im)))
(/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im)
(/.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(sqrt.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))

eval70.0ms (1.1%)

Memory
29.3MiB live, 73.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 21 504 to 2 150 computations (90% saved)

prune59.0ms (0.9%)

Memory
-18.7MiB live, 35.6MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4462448
Fresh000
Picked235
Done077
Total44812460
Accuracy
100.0%
Counts
460 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
62.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
75.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
88.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
53.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
65.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
20.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
62.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
53.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
97.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im)) x.re)) x.im))
95.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
53.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 957 to 317 computations (66.9% saved)

regimes51.0ms (0.8%)

Memory
-11.5MiB live, 35.5MiB allocated; 2ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im)) x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.re x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.im x.im) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im)) x.re)) x.im))
Calls

3 calls:

39.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
5.0ms
x.re
5.0ms
x.im
Results
AccuracySegmentsBranch
97.9%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
97.9%1x.re
99.8%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
Calls

3 calls:

3.0ms
x.re
3.0ms
x.im
3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
97.4%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
95.6%1x.re
99.4%3x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Calls

3 calls:

3.0ms
x.re
3.0ms
x.im
3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
97.4%3x.re
97.0%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
95.9%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Calls

1 calls:

1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
96.9%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
Calls

3 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
62.5%1x.re
65.4%2x.im
64.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes27.0ms (0.4%)

Memory
-44.9MiB live, 2.9MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Calls

2 calls:

26.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
1.0ms
x.im
Results
AccuracySegmentsBranch
62.5%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
62.5%1x.im
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch14.0ms (0.2%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
7.515162437868135e+153
1.8837019509363614e+156
Samples
8.0ms112×0valid
Compiler

Compiled 540 to 331 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76.6% of total)
ival-sub: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.3093206875430719e+241
2.5116887629401164e+241
1.0ms
7.515162437868135e+153
1.8837019509363614e+156
Samples
4.0ms64×0valid
Compiler

Compiled 824 to 507 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (68.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.419676e-317
-0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.419676e-317
-0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch6.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
1.3093206875430719e+241
2.5116887629401164e+241
Samples
3.0ms48×0valid
Compiler

Compiled 226 to 140 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (89% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify87.0ms (1.4%)

Memory
-6.2MiB live, 38.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
067415
1111391
2255391
3717355
41942343
56148343
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (if (<=.f64 x.im #s(literal 21000000000000000477942968684420155077514280079441896605948307556208274935600170357424081641202225098237051507732830322238537771241921638861040453311448114191333085890441511360964310598562042330675490769941030880469373487719520860071689977856 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)))
(if (<=.f64 x.im #s(literal 17999999999999999140582575686748188603194202929424540044451715273744340863761776139386336036105873696788193043130587717451803712752229977922800045223255669464659560200397866667921505189090091063906885783045557489059492858240276517441083801600 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Outputs
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 (/.f64 x.re x.im) x.re (*.f64 #s(literal -3 binary64) x.im)) x.re)) x.im)))
(if (<=.f64 x.im #s(literal 7599999999999999328119294520504658130645275195715139955456507419552885208949053023837022247383184266754214941258116175356243802780471046127522059602886656 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) (if (<=.f64 x.im #s(literal 21000000000000000477942968684420155077514280079441896605948307556208274935600170357424081641202225098237051507732830322238537771241921638861040453311448114191333085890441511360964310598562042330675490769941030880469373487719520860071689977856 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (* (* (+ (pow (/ x.re x.im) 2) -3) x.re) x.im) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)))
(if (<=.f64 x.im #s(literal 17999999999999999140582575686748188603194202929424540044451715273744340863761776139386336036105873696788193043130587717451803712752229977922800045223255669464659560200397866667921505189090091063906885783045557489059492858240276517441083801600 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re))))
(if (<=.f64 x.im #s(literal 17999999999999999140582575686748188603194202929424540044451715273744340863761776139386336036105873696788193043130587717451803712752229977922800045223255669464659560200397866667921505189090091063906885783045557489059492858240276517441083801600 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))

derivations746.0ms (11.7%)

Memory
15.1MiB live, 256.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036256
055256
1216236
21522232
08240227
045332
067335
1234304
21567302
08179297
092440
1268402
2937386
35058386
08258367
056237
1172217
2610208
33532208
08354202
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 415 to 69 computations (83.4% saved)

preprocess51.0ms (0.8%)

Memory
29.2MiB live, 76.1MiB allocated; 3ms collecting garbage
Remove

(negabs x.re)

Compiler

Compiled 1 370 to 386 computations (71.8% saved)

end0.0ms (0%)

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

Profiling

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