math.cube on complex, real part

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.3s (19.7%)

Memory
29.2MiB live, 1 673.1MiB allocated
Samples
907.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-mult: 487.0ms (80.2% of total)
ival-sub: 69.0ms (11.4% of total)
ival-add: 41.0ms (6.8% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain215.0ms (3.2%)

Memory
44.3MiB live, 429.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(-.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))
180-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
150-0-(*.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-rescue310
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow128
↳(*.f64 x.re x.re)overflow70
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow128
↳(*.f64 x.im x.im)overflow76
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)overflow84
↳(*.f64 x.im x.re)overflow42
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow42
↳(*.f64 x.re x.im)overflow42
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue180
↳(*.f64 x.re x.re)overflow70
↳(*.f64 x.im x.im)overflow76
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)n*o150
Confusion
Predicted +Predicted -
+540
-0202
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5400
-00202
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0202
144
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms512×0valid
Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-sub: 39.0ms (58.2% of total)
ival-mult: 25.0ms (37.3% of total)
ival-add: 2.0ms (3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess226.0ms (3.4%)

Memory
-14.6MiB live, 323.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031103
110587
238585
3111556
4388655
01119
02019
14317
214017
348214
4136811
5447311
0827011
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.0%
(-.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))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify158.0ms (2.4%)

Memory
3.4MiB live, 188.3MiB allocated
Algorithm
1×egg-herbie
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
1×iter limit
1×node limit
1×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)

localize32.0ms (0.5%)

Memory
7.8MiB live, 53.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy3.625711595535846
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy3.996077236641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy6.253906250000001
(-.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
24.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (70.8% of total)
ival-sub: 2.0ms (15.7% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory
-22.1MiB live, 38.2MiB allocated
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
47.0ms
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))
2.0ms
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))

simplify202.0ms (3%)

Memory
6.6MiB live, 240.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056237
1172217
2610208
33532208
08354202
Stop Event
1×iter limit
1×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))

rewrite49.0ms (0.7%)

Memory
3.3MiB live, 47.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
18839
067938
Stop Event
1×iter limit
1×iter limit
1×node limit
1×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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eval45.0ms (0.7%)

Memory
-15.8MiB live, 27.1MiB allocated
Compiler

Compiled 3 247 to 479 computations (85.2% saved)

prune6.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1258133
Fresh000
Picked101
Done000
Total1268134
Accuracy
100.0%
Counts
134 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶31.6%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
66.4%
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
49.7%
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶58.4%
#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)))
▶87.2%
#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 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
78.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.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))))
▶74.1%
#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)))
▶55.1%
#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 466 to 270 computations (42.1% saved)

simplify240.0ms (3.6%)

Memory
-6.1MiB live, 321.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff2
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff3
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
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
041308
064308
1125294
2350294
31100280
44453276
08263271
Stop Event
1×iter limit
1×node limit
1×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)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re 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 x.re x.im)
(*.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 (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)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.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)

localize102.0ms (1.5%)

Memory
-2.5MiB live, 188.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.929925592317148
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
accuracy6.253906250000001
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy10.382762959924944
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy37.51164114922237
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0.0
(pow.f64 x.re #s(literal 3 binary64))
accuracy26.652001209085107
#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)))
accuracy0.11328125
(/.f64 (/.f64 x.re x.im) x.im)
accuracy0.11328125
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy1.235559658727955
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy14.40423090974129
(*.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)
accuracy0.10546875
(*.f64 (*.f64 x.im x.re) x.im)
accuracy0.17578125
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
accuracy28.605759246665944
#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))
accuracy3.6447308624952184
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy4.078108486641647
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
Samples
63.0ms239×0valid
6.0ms6×4valid
3.0ms4×3valid
3.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 280 to 35 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 21.0ms (36.1% of total)
ival-div: 8.0ms (13.8% of total)
ival-add: 8.0ms (13.8% of total)
ival-sub: 7.0ms (12% of total)
ival-pow: 7.0ms (12% of total)
adjust: 5.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
27.7MiB live, 72.5MiB allocated
Counts
20 → 57
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))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 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 (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)
(* 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 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(/ x.re (pow x.im 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (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)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 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 5)
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -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)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(+ (* (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))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (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 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
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) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
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) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
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) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
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) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))
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)) (* (+ (* -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) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (/ (/ x.re x.im) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify247.0ms (3.7%)

Memory
-13.1MiB live, 284.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121598
1366536
21209533
35540533
08285514
Stop Event
1×iter limit
1×node limit
Counts
57 → 57
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)
(* 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 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(/ x.re (pow x.im 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (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)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 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 5)
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -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)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(+ (* (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))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (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 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
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))
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* -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 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(fma.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (pow x.im 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 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 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 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 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.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 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 5 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 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 #s(literal 3 binary64) (/.f64 x.im x.re)) (/.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 #s(literal 3 binary64) (/.f64 x.im x.re)) (/.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))))
(* -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)))
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 5 binary64))) (-.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #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)
(+ (* -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))
(+ (* -1 (* (pow x.im 2) (+ 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 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(fma.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 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 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

rewrite215.0ms (3.2%)

Memory
-7.8MiB live, 184.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041255
064255
1250217
21772213
08565208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 565
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))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 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 (*.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))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.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))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.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) (-.f64 (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 (pow.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (-.f64 (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))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.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)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.re)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.re) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64)))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64)))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.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 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.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 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (*.f64 (neg.f64 x.re) x.re) (neg.f64 x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (*.f64 (neg.f64 x.re) x.re) (neg.f64 x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (neg.f64 x.re) (*.f64 x.re x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (neg.f64 x.re) (*.f64 x.re x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re x.re) (neg.f64 x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (*.f64 x.re x.re) (neg.f64 x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) x.im) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) x.im))) (fma.f64 x.re x.re (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) x.im)))
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eval127.0ms (1.9%)

Memory
2.3MiB live, 89.4MiB allocated
Compiler

Compiled 27 786 to 2 411 computations (91.3% saved)

prune38.0ms (0.6%)

Memory
-1.5MiB live, 52.9MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New62511636
Fresh303
Picked235
Done000
Total63014644
Accuracy
100.0%
Counts
644 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓58.4%
#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)))
✓87.2%
#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 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
78.5%
#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) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 x.re x.re)) x.re))
▶90.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im) x.im))
▶55.2%
#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))
64.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
39.1%
#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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (*.f64 x.im x.im)))
21.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
▶58.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
55.2%
#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)))
▶49.7%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
▶60.1%
#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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
✓55.1%
#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 784 to 439 computations (44% saved)

simplify148.0ms (2.2%)

Memory
11.1MiB live, 96.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
cost-diff2
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)
cost-diff4
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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) x.im) x.re) x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) 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 #s(literal -3 binary64) (*.f64 x.im x.im)) 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) 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
040350
061350
1119336
2353336
31473298
45812298
08350285
Stop Event
1×iter limit
1×node limit
1×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 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.im x.im)
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 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re))
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(/.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.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 #s(literal -3 binary64) (*.f64 x.im 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 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.im x.im)
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 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re)
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re))
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(fma.f64 (*.f64 x.im (/.f64 x.im x.re)) #s(literal -3 binary64) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(/.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.re x.re)

localize206.0ms (3.1%)

Memory
-40.3MiB live, 144.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.158627381016194
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)
accuracy3.6447308624952184
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re)
accuracy8.302745009919896
(*.f64 (*.f64 x.im x.im) x.re)
accuracy20.864676393503277
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
accuracy0.0
(*.f64 #s(literal -3 binary64) x.im)
accuracy0.11328125
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
accuracy0.203125
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
accuracy28.605759246665944
#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))
accuracy0.0
(*.f64 x.im x.im)
accuracy0.15625
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
accuracy8.364214555035874
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
accuracy28.605759246665944
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.0859375
(*.f64 (*.f64 x.re x.re) x.re)
accuracy26.652001209085107
#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))
accuracy0.11328125
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re)
accuracy0.236660009768442
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
accuracy2.895834745399789
(*.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)
accuracy2.9123561571799974
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.re) x.im)
Samples
139.0ms239×0valid
5.0ms6×4valid
3.0ms4×3valid
2.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 261 to 34 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 84.0ms (76.6% of total)
ival-sub: 10.0ms (9.1% of total)
ival-add: 5.0ms (4.6% of total)
ival-div: 4.0ms (3.6% of total)
adjust: 3.0ms (2.7% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
5.2MiB live, 50.2MiB allocated
Counts
21 → 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 (*.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 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.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 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re 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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 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)
(* -3 (/ (pow x.im 2) x.re))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.re)
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 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)))))
x.re
(* x.re (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 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)))))
(* -1 (* 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))
(+ (* -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))
(pow x.im 2)
(* -3 x.im)
(+ x.re (* -3 (/ (pow x.im 2) x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -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) (- (/ x.re (pow x.im 2)) (* 3 (/ 1 x.re))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (* x.im x.im) x.re) (/ -3 (* x.re x.re))) x.re) (* (+ (* (* (* x.im x.im) x.re) (/ -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)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (pow (/ x.re x.im) 2) (* (* 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)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (* x.im x.im) x.re) (/ -3 (* x.re x.re))) x.re) (* (+ (* (* (* x.im x.im) x.re) (/ -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)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (pow (/ x.re x.im) 2) (* (* 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)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (* x.im x.im) x.re) (/ -3 (* x.re x.re))) x.re) (* (+ (* (* (* x.im x.im) x.re) (/ -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)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (pow (/ x.re x.im) 2) (* (* 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)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (* x.im x.im) x.re) (/ -3 (* x.re x.re))) x.re) (* (+ (* (* (* x.im x.im) x.re) (/ -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)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (pow (/ x.re x.im) 2) (* (* 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)) (* (* -3 (* x.im x.im)) x.re) (* -3 (* x.im x.im)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (* -3 x.im) x.re) x.im) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (* x.im x.im) x.re) (/ -3 (* x.re x.re))) x.re) (* (+ (* (* (* x.im x.im) x.re) (/ -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)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (pow (/ x.re x.im) 2) (* (* x.im x.im) x.re))

simplify218.0ms (3.3%)

Memory
23.7MiB live, 167.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103506
1308478
21023454
35913454
08167433
Stop Event
1×iter limit
1×node limit
Counts
45 → 44
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)
(* -3 (/ (pow x.im 2) x.re))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.re)
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 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)))))
x.re
(* x.re (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 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)))))
(* -1 (* 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))
(+ (* -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))
(pow x.im 2)
(* -3 x.im)
(+ x.re (* -3 (/ (pow x.im 2) x.re)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -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) (- (/ x.re (pow x.im 2)) (* 3 (/ 1 x.re))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* -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 (*.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)
(* -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)
(* -3 (/ (pow x.im 2) x.re))
(*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) x.re)
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64) x.re)
(* -3 (pow x.im 2))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re) x.re) x.re)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re) x.re) x.re)
(/ (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)))
x.re
(* x.re (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)) 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)))
(* -1 (* x.re (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (neg.f64 x.re) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.im x.re)) #s(literal 1 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) x.re)) (pow x.re 3)) (pow x.im 2))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.im) x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ x.re (* -3 (/ (pow x.im 2) x.re)))
(fma.f64 (/.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64) x.re)
(* (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 (*.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) x.im)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.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) x.im)
(* 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) (- (/ x.re (pow x.im 2)) (* 3 (/ 1 x.re))))
(*.f64 (-.f64 (/.f64 x.re (*.f64 x.im x.im)) (/.f64 #s(literal 3 binary64) x.re)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 x.re x.re) x.im) x.im) #s(literal 3 binary64)) x.im) 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)

rewrite197.0ms (2.9%)

Memory
3.6MiB live, 194.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040291
061287
1208267
21377267
08219260
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 333
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 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.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 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re 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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re)
(pow.f64 (/.f64 x.re x.im) #s(literal 2 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 (*.f64 x.im x.im) x.re))
(*.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 (+.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 (*.f64 x.im x.re) (+.f64 #s(literal -3 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(*.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 #s(literal -3 binary64) x.re) (*.f64 #s(literal -3 binary64) 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 (*.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 #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 (*.f64 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64))) (*.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 x.re #s(literal -3 binary64)) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))
(/.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 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64)))) (-.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -3 binary64) 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 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) x.re) (*.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 (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #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 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64)) (-.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 x.re #s(literal -3 binary64)) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #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 (*.f64 x.re #s(literal -3 binary64)) (*.f64 x.re #s(literal -3 binary64))) (*.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 (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 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 x.re #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 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 #s(literal -3 binary64)) (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 (neg.f64 x.re) 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)))
(fabs.f64 (pow.f64 x.re #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.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)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x.re))) (neg.f64 (neg.f64 (neg.f64 x.re))))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 x.re)))
(*.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)))
(*.f64 (neg.f64 x.re) (neg.f64 x.re))
(*.f64 x.re x.re)
(pow.f64 (exp.f64 (log.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.re) #s(literal 1 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x.re) x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x.re) x.re))
(fabs.f64 (*.f64 x.re x.re))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64))))
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(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 (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 (*.f64 x.re (neg.f64 (neg.f64 x.re))) (*.f64 x.im (neg.f64 (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 (neg.f64 x.re)) x.re) (*.f64 (neg.f64 (neg.f64 x.im)) x.im))
(/.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 (neg.f64 x.im) (neg.f64 (neg.f64 x.im))))
(/.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 (neg.f64 (neg.f64 x.im)) (neg.f64 x.im)))
(/.f64 (*.f64 (neg.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 (neg.f64 x.im) x.re) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im x.im))
(fabs.f64 (*.f64 (neg.f64 x.re) (*.f64 x.im x.im)))
(fabs.f64 (*.f64 (*.f64 x.im x.im) x.re))

eval51.0ms (0.8%)

Memory
-23.0MiB live, 120.6MiB allocated
Compiler

Compiled 18 741 to 2 040 computations (89.1% saved)

prune48.0ms (0.7%)

Memory
12.5MiB live, 58.1MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3895394
Fresh336
Picked145
Done033
Total39315408
Accuracy
100.0%
Counts
408 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.8%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓58.4%
#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)))
✓87.2%
#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 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶66.4%
#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 (*.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))) x.im) x.im))
▶55.2%
#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.re #s(literal -3 binary64)) x.im) x.im))
✓55.2%
#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))
▶21.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
✓58.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
55.2%
#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)))
✓49.7%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
45.7%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re))
✓60.1%
#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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
86.9%
#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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) (/.f64 (*.f64 x.im x.im) x.re))) x.re)) x.re))
▶92.3%
#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))
✓55.1%
#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 757 to 431 computations (43.1% saved)

simplify172.0ms (2.6%)

Memory
-18.4MiB live, 127.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.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)))
cost-diff0
(*.f64 (/.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))) x.im)
cost-diff0
(*.f64 (*.f64 (/.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))) 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 (-.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))) x.im) x.im))
cost-diff2
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff2
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff5
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff7
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
cost-diff0
(*.f64 x.re #s(literal -3 binary64))
cost-diff0
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) 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 x.re #s(literal -3 binary64)) 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: 0 (0.0ms)

IterNodesCost
056474
087474
1159456
2453452
31982408
47792404
08641400
Stop Event
1×iter limit
1×node limit
1×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 x.re #s(literal -3 binary64)) x.im) x.im))
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
(*.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
x.im
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
x.re
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re x.im)
(+.f64 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 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 (/.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))) x.im) x.im))
(*.f64 (*.f64 (/.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))) x.im) x.im)
(*.f64 (/.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))) x.im)
(/.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 (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 4 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))
(/.f64 x.re x.im)
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))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 2 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 #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 x.re #s(literal -3 binary64)) 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) x.re) x.im) x.im))
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
x.re
#s(literal -3 binary64)
x.im
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) #s(literal 1 binary64)) (+.f64 x.im x.re)) (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im)))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.re) #s(literal 1 binary64)) (+.f64 x.im x.re))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
x.re
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(-.f64 x.re x.im)
(+.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.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 (/.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))) 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 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) x.im) (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re)))
(*.f64 (*.f64 (/.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))) x.im) x.im)
(*.f64 (*.f64 (/.f64 x.im (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) x.im) (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re))
(*.f64 (/.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))) x.im)
(*.f64 (/.f64 x.im (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re))
(/.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 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.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 4 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))
(/.f64 x.re x.im)
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))
(pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)

localize247.0ms (3.7%)

Memory
-3.4MiB live, 184.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7566282884371335
(*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re)
accuracy2.895834745399789
(*.f64 (*.f64 (/.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))) x.im) x.im)
accuracy2.9123561571799974
(*.f64 (/.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))) x.im)
accuracy17.550302249425908
(/.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)))
accuracy0.11003876953688403
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
accuracy1.929925592317148
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
accuracy6.253906250000001
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy37.26252874913271
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0.0
(*.f64 x.re #s(literal -3 binary64))
accuracy0.11328125
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
accuracy0.18359375
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
accuracy28.605759246665944
#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.re #s(literal -3 binary64)) x.im) x.im))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.0
(neg.f64 x.re)
accuracy0.0859375
(*.f64 (*.f64 x.re x.re) (neg.f64 x.re))
accuracy50.113814872280585
#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)))
accuracy0.0390625
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
accuracy0.125
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im)) x.re)
accuracy2.895834745399789
(*.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)
accuracy7.028981279596151
(/.f64 (*.f64 x.re x.re) x.im)
Samples
127.0ms215×0valid
39.0ms8×4valid
18.0ms16×3valid
6.0ms7×2valid
6.0ms9×1valid
1.0ms1×5exit
Compiler

Compiled 401 to 47 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 58.0ms (34% of total)
ival-pow2: 44.0ms (25.8% of total)
ival-add: 35.0ms (20.5% of total)
adjust: 14.0ms (8.2% of total)
ival-sub: 8.0ms (4.7% of total)
ival-div: 7.0ms (4.1% of total)
ival-pow: 3.0ms (1.8% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (1%)

Memory
26.9MiB live, 73.5MiB allocated
Counts
24 → 108
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 x.re #s(literal -3 binary64)) x.im) x.im))
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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))
#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 (-.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))) x.im) x.im))
(*.f64 (*.f64 (/.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))) x.im) x.im)
(*.f64 (/.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))) x.im)
(/.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 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) 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)))
(* -1 (pow x.re 3))
(pow x.re 2)
(* -1 x.re)
(* -3 x.re)
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* 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))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* -9 x.re)
(* x.re (- (/ (pow x.re 4) (pow x.im 4)) 9))
(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 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (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) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(/ (pow x.re 5) (pow x.im 4))
(* (pow x.re 5) (- (/ 1 (pow x.im 4)) (* 9 (/ 1 (pow x.re 4)))))
(* -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))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ 1 (pow x.re 4))) (/ 1 (pow x.im 4)))))
(+ (* (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)
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 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)) (pow x.re 2)) x.im)
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(/ (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) (pow x.im 4))
(* (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))))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
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)) (* (* (* x.re -3) x.im) x.im) (* (* x.re -3) x.im) (* x.re -3) (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re 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.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.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)) (* (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) x.im) (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (* (- (pow (/ x.re x.im) 4) 9) x.re))
7.0ms
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)) (* (* (* x.re -3) x.im) x.im) (* (* x.re -3) x.im) (* x.re -3) (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re 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.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.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)) (* (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) x.im) (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (* (- (pow (/ x.re x.im) 4) 9) x.re))
6.0ms
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)) (* (* (* x.re -3) x.im) x.im) (* (* x.re -3) x.im) (* x.re -3) (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re 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.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.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)) (* (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) x.im) (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (* (- (pow (/ x.re x.im) 4) 9) x.re))
5.0ms
x.im
@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)) (* (* (* x.re -3) x.im) x.im) (* (* x.re -3) x.im) (* x.re -3) (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re 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.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.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)) (* (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) x.im) (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (* (- (pow (/ x.re x.im) 4) 9) x.re))
5.0ms
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)) (* (* (* x.re -3) x.im) x.im) (* (* x.re -3) x.im) (* x.re -3) (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re 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.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.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)) (* (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) x.im) (* (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) x.im) (/ (* (- (pow (/ x.re x.im) 4) 9) x.re) (- (pow (/ x.re x.im) 2) -3)) (/ (* x.re x.re) x.im) (+ (* -3 x.im) (/ (* x.re x.re) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (* (- (pow (/ x.re x.im) 4) 9) x.re))

simplify126.0ms (1.9%)

Memory
-0.9MiB live, 138.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03951193
11417995
25981957
08313926
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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)
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* 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))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* -9 x.re)
(* x.re (- (/ (pow x.re 4) (pow x.im 4)) 9))
(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 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (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) (+ (* -3 (/ x.im (pow x.re 2))) (/ 1 x.im)))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(/ (pow x.re 5) (pow x.im 4))
(* (pow x.re 5) (- (/ 1 (pow x.im 4)) (* 9 (/ 1 (pow x.re 4)))))
(* -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))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* 9 (/ 1 (pow x.re 4))) (/ 1 (pow x.im 4)))))
(+ (* (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)
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 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)) (pow x.re 2)) x.im)
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(/ (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) (pow x.im 4))
(* (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))))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(* x.im (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))
(* -1 (* x.im (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 3 x.re))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
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 x.re (/.f64 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)
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 0 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)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 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)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* x.re (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (-.f64 (/.f64 (*.f64 x.re (/.f64 x.re x.im)) x.im) #s(literal 3 binary64)) x.re)
(/ (pow x.re 2) x.im)
(*.f64 x.re (/.f64 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 x.re (/.f64 x.re x.im)))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 x.re) #s(literal 0 binary64))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 x.re) #s(literal 0 binary64))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (neg.f64 x.re) #s(literal 0 binary64))
(* -9 x.re)
(*.f64 #s(literal -9 binary64) x.re)
(* x.re (- (/ (pow x.re 4) (pow x.im 4)) 9))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 9 binary64)) x.re)
(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 x.im (/.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) x.re) (*.f64 x.im (/.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 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (+.f64 (/.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (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)))
(* (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)
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(*.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) (+.f64 (/.f64 (fma.f64 x.im (/.f64 x.im x.re) x.im) x.re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(/ (pow x.re 5) (pow x.im 4))
(/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 5) (- (/ 1 (pow x.im 4)) (* 9 (/ 1 (pow x.re 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 5 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 (-.f64 (*.f64 (/.f64 #s(literal 3 binary64) x.re) (*.f64 x.im (/.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) x.re) (*.f64 x.im (/.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)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(pow.f64 x.re #s(literal 4 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 x.im x.re))) x.re) #s(literal 1 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x.im (/.f64 x.im x.re)))) x.re) #s(literal 1 binary64)) (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)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* 9 (/ 1 (pow x.re 4))) (/ 1 (pow x.im 4)))))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 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 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) (/.f64 x.re x.im))
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(pow.f64 x.re #s(literal 4 binary64))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.re)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 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)) (pow x.im 2))
(*.f64 (/.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.im) (/.f64 x.re 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)
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(-.f64 (pow.f64 x.re #s(literal 5 binary64)) #s(literal 0 binary64))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(-.f64 (pow.f64 x.re #s(literal 5 binary64)) #s(literal 0 binary64))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(-.f64 (pow.f64 x.re #s(literal 5 binary64)) #s(literal 0 binary64))
(/ (+ (* -9 (* (pow x.im 4) x.re)) (pow x.re 5)) (pow x.im 4))
(/.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) x.re) (pow.f64 x.re #s(literal 5 binary64))) (pow.f64 x.im #s(literal 4 binary64)))
(* (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 (*.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) x.im)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.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) x.im)
(* 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)
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (/.f64 (-.f64 x.re #s(literal 0 binary64)) x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) (+.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(*.f64 (*.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) 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 (-.f64 (/.f64 (*.f64 x.re (/.f64 x.re x.im)) x.im) #s(literal 3 binary64)) x.im)
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(+ (* -9 x.re) (/ (pow x.re 5) (pow x.im 4)))
(fma.f64 #s(literal -9 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(* -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)
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(*.f64 (*.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) x.im)
(* -1 (* x.im (+ 3 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(fma.f64 (/.f64 (*.f64 x.re (/.f64 x.re x.im)) x.im) x.im (*.f64 #s(literal -3 binary64) x.im))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re)

rewrite237.0ms (3.5%)

Memory
-6.2MiB live, 230.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056392
087392
1301290
22172288
08574283
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 520
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 x.re #s(literal -3 binary64)) x.im) x.im))
(*.f64 (*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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))
#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 (-.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))) x.im) x.im))
(*.f64 (*.f64 (/.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))) x.im) x.im)
(*.f64 (/.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))) x.im)
(/.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 x.re x.re) x.im)
(fma.f64 #s(literal -3 binary64) x.im (/.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 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 #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 (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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 3 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 3 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 3 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 3 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 x.im x.re) #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 (*.f64 x.im x.re) #s(literal -3 binary64) (*.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)))
(fma.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.re) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.re) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.re) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re (/.f64 (*.f64 x.re x.re) x.im)))
(fma.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 x.re x.re) x.im) x.re) (*.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 #s(literal -3 binary64) x.re) x.im) (*.f64 (/.f64 (*.f64 x.re x.re) x.im) x.re))
(+.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 (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 (neg.f64 x.re) x.re) 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 (neg.f64 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)))
(fabs.f64 (pow.f64 x.re #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x.re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
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(+.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 (*.f64 #s(literal -27 binary64) (pow.f64 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 -27 binary64) (pow.f64 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 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (neg.f64 x.im) (neg.f64 x.re))) (/.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (-.f64 (neg.f64 x.im) (neg.f64 x.re))))
(*.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (neg.f64 x.im) x.re)) (/.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (-.f64 (neg.f64 x.im) x.re)))
(*.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 x.im (neg.f64 x.re))) (/.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (-.f64 x.im (neg.f64 x.re))))
(*.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 x.im x.re)) (/.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (-.f64 x.im x.re)))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(*.f64 (*.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(*.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.re))
(*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) x.re))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.re))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(*.f64 (neg.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 x.re (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) (fma.f64 x.im x.im (*.f64 (neg.f64 x.re) x.re)))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))) (+.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.im #s(literal 4 binary64))))
(neg.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re))
(*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re)
(*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)) #s(literal 81 binary64)))) (neg.f64 (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64)) #s(literal 729 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)) #s(literal 81 binary64)) x.re)) (neg.f64 (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64)) #s(literal 729 binary64)) x.re)) (neg.f64 (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)) #s(literal 81 binary64))) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64)) #s(literal 729 binary64))) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64)) #s(literal 81 binary64)) x.re) (+.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 12 binary64)) #s(literal 729 binary64)) x.re) (+.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 81 binary64)) (pow.f64 (/.f64 x.re x.im) #s(literal 8 binary64))))

eval121.0ms (1.8%)

Memory
24.3MiB live, 113.8MiB allocated
Compiler

Compiled 26 263 to 2 587 computations (90.1% saved)

prune72.0ms (1.1%)

Memory
-14.2MiB live, 88.7MiB allocated
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New6335638
Fresh033
Picked235
Done077
Total63518653
Accuracy
100.0%
Counts
653 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
39.3%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓58.4%
#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)))
66.4%
#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 (*.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re) x.im) x.im) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
✓87.2%
#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 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
55.7%
#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(approx (* (- (pow (/ x.re x.im) 4) 9) x.re) (*.f64 #s(literal -9 binary64) x.re)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) x.im) x.im))
✓55.2%
#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.re #s(literal -3 binary64)) x.im) x.im))
✓55.2%
#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))
✓21.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
✓58.3%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
55.2%
#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)))
✓49.7%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
45.7%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re))
✓60.1%
#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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) x.re) x.re)) x.re))
86.9%
#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 (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) (/.f64 (*.f64 x.im x.im) x.re))) x.re)) x.re))
95.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(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))
✓92.3%
#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))
✓55.1%
#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 1 589 to 530 computations (66.6% saved)

regimes33.0ms (0.5%)

Memory
-1.5MiB live, 45.0MiB allocated
Counts
30 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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 x.re #s(literal -3 binary64)) 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 #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 #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))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (*.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 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (+.f64 x.im 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(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) (/.f64 (*.f64 x.im x.im) x.re))) x.re)) x.re))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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)) (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 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 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 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 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 (*.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(approx (* (- (pow (/ x.re x.im) 4) 9) x.re) (*.f64 #s(literal -9 binary64) x.re)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) 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 (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))))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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 (/.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))) 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 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 4 binary64)) #s(literal 9 binary64)) x.re) x.im) x.im) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 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 (*.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 (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))))
Calls

3 calls:

17.0ms
x.im
8.0ms
x.re
6.0ms
(-.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
99.9%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))
99.8%2x.re
99.8%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
26 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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 x.re #s(literal -3 binary64)) 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 #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 #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))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (*.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 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (+.f64 x.im 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(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) (/.f64 (*.f64 x.im x.im) x.re))) x.re)) x.re))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re 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)) (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 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 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 #s(literal -3 binary64) (sqrt.f64 (pow.f64 x.im #s(literal 4 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 (*.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(approx (* (- (pow (/ x.re x.im) 4) 9) x.re) (*.f64 #s(literal -9 binary64) x.re)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))) x.im) 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)) (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 #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

2 calls:

7.0ms
x.im
6.0ms
(-.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
99.8%2x.im
99.8%3(-.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 20 to 13 computations (35% saved)

regimes15.0ms (0.2%)

Memory
-26.4MiB live, 20.3MiB allocated
Counts
21 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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 x.re #s(literal -3 binary64)) 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 #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 #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))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.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 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 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) (/.f64 #s(literal -3 binary64) (*.f64 x.re x.re)) 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)))) (*.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 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (*.f64 x.re (+.f64 x.im 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(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.re) (/.f64 (*.f64 x.im x.im) x.re))) x.re)) x.re))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.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 (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

2 calls:

8.0ms
x.im
6.0ms
x.re
Results
AccuracySegmentsBranch
99.8%3x.re
99.8%2x.im
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
9 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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 x.re #s(literal -3 binary64)) 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 #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))
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
2.0ms
(-.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
96.7%3x.re
96.6%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))
98.2%3x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
8 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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 x.re #s(literal -3 binary64)) 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 #s(literal -3 binary64) (*.f64 x.im x.im) (*.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 (*.f64 x.re #s(literal -3 binary64)) 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 x.re x.re) x.re))
Calls

2 calls:

3.0ms
x.im
2.0ms
(-.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
96.1%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 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory
-47.4MiB live, 7.3MiB allocated
Counts
6 → 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 #s(literal -3 binary64) (*.f64 x.im 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.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))
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 #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 x.re) x.re))
Calls

1 calls:

7.0ms
(-.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
96.1%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)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
5 → 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 #s(literal -3 binary64) (*.f64 x.im 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.im x.re) (*.f64 #s(literal -3 binary64) 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 (*.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

1 calls:

2.0ms
(-.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
96.1%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)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 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 #s(literal -3 binary64) (*.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 #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:

2.0ms
(-.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
96.0%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))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
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) (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))
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
58.3%1x.re
62.4%2x.im
62.5%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)

regimes2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
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:

1.0ms
x.im
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
58.3%1x.im
58.3%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))
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
4.51764509742658e-284
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch42.0ms (0.6%)

Memory
-24.3MiB live, 22.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.0913371565871295e-67
1.7980018616606483e-65
Samples
8.0ms112×0valid
Compiler

Compiled 491 to 310 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (74.2% of total)
ival-sub: 1.0ms (18.5% 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)

bsearch5.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
1.6815337001059552e-62
3.282272163177827e-60
Samples
2.0ms32×0valid
Compiler

Compiled 170 to 106 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (67% 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)

bsearch15.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
12.0ms
3.3115741565898633e+227
1.8341934448678405e+229
0.0ms
1.6815337001059552e-62
3.282272163177827e-60
Samples
8.0ms112×0valid
Compiler

Compiled 667 to 414 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (75.4% of total)
ival-sub: 1.0ms (18.9% 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
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1659334e-317
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1659334e-317
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1659334e-317
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.1659334e-317
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.2282669507541336e-255
-4.09719730011927e-277
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify74.0ms (1.1%)

Memory
6.1MiB live, 52.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
099743
1144703
2290703
3745643
41979623
56263623
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal 0 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 (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)))))
(if (<=.f64 x.im #s(literal 3187191151307837/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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))) #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 2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496 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 2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496 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 10499999999999999375670124835538044316087734355171216638034095695082106661129411358708537420641697644454401286644502065260636212196184844693895092462297812463416325889851780538057241632638045715748202172584167887568449921609629696 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 x.re #s(literal -3 binary64)) 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 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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) 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 (-.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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (-.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 -2113178124542661/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 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) (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)))
#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 (-.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 0 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 (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)))))
(if (<=.f64 x.im #s(literal 3187191151307837/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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))) #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 2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496 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 2894802230932905/7237005577332262213973186563042994240829374041602535252466099000494570602496 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 10499999999999999375670124835538044316087734355171216638034095695082106661129411358708537420641697644454401286644502065260636212196184844693895092462297812463416325889851780538057241632638045715748202172584167887568449921609629696 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 x.re #s(literal -3 binary64)) 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 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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) 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 (-.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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -4048045/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (-.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 -2113178124542661/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 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) (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)))
(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 -2113178124542661/2113178124542660985409359139666066426075389304144486088511842836106695610226899437897669023550628751578697579973028514715529390238010742149002155913851758307633546735996020336674926070705705764212096931632844753616592113171006246955353587595068145905958154323590951993344 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 (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)))
#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))

derivations1.1s (15.8%)

Memory
9.4MiB live, 954.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040291
061287
1208267
21377267
08219260
056392
087392
1301290
22172288
08574283
056237
1172217
2610208
33532208
08354202
0103506
1308478
21023454
35913454
08167433
041255
064255
1250217
21772213
08565208
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 743 to 102 computations (86.3% saved)

preprocess160.0ms (2.4%)

Memory
40.5MiB live, 269.3MiB allocated
Remove

(abs x.im)

Compiler

Compiled 2 104 to 500 computations (76.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...