math.cube on complex, real part

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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 (18.3%)

Memory
48.2MiB live, 1 697.6MiB allocated
Samples
976.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 726.0ms
ival-mult: 576.0ms (79.3% of total)
ival-sub: 101.0ms (13.9% of total)
ival-add: 39.0ms (5.4% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain223.0ms (3.2%)

Memory
-27.5MiB live, 327.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-0-(-.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))
190-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
180-0-(*.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-rescue250
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow110
↳(*.f64 x.re x.re)overflow62
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow105
↳(*.f64 x.im x.im)overflow62
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)overflow68
↳(*.f64 x.im x.re)overflow40
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow40
↳(*.f64 x.re x.im)overflow40
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue190
↳(*.f64 x.re x.re)overflow62
↳(*.f64 x.im x.im)overflow62
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)n*o180
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
146
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 19.0ms (72% of total)
ival-sub: 4.0ms (15.2% of total)
ival-add: 2.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess193.0ms (2.8%)

Memory
-0.0MiB live, 182.8MiB 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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.2%
(-.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)

simplify195.0ms (2.8%)

Memory
-16.7MiB live, 176.5MiB 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
10.6MiB live, 54.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy4.2846141832978235
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy4.343727294132265
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy5.066406250000001
(-.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: 17.0ms
ival-mult: 13.0ms (78.4% of total)
ival-sub: 2.0ms (12.1% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB 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
2.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
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))

simplify212.0ms (3%)

Memory
9.2MiB live, 157.7MiB 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))

rewrite108.0ms (1.5%)

Memory
-19.5MiB live, 86.2MiB 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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eval24.0ms (0.3%)

Memory
-22.6MiB live, 21.1MiB allocated
Compiler

Compiled 3 247 to 479 computations (85.2% saved)

prune6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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
▶16.0%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶79.2%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶66.8%
(-.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))
53.9%
(-.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))
59.0%
#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)))
▶85.8%
#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))
76.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 442 to 256 computations (42.1% saved)

simplify127.0ms (1.8%)

Memory
7.0MiB live, 150.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
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 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff0
(*.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)
cost-diff2
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff3
(-.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))
cost-diff5
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff7
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
cost-diff0
(*.f64 x.im x.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
050429
084406
1159400
2488398
31854388
45351372
08076366
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
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.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 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.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 #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)
#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)))
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 x.im) x.re) x.re)
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
#s(literal 1 binary64)
(*.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)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
x.re
#s(literal 6 binary64)
(pow.f64 x.im #s(literal 6 binary64))
x.im
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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 x.im x.re) #s(literal -3 binary64)) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im)
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.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 x.re (+.f64 x.im x.im)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.im) #s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)))) x.re)
(*.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))) x.re)
#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)))
#s(approx (- (* x.re x.re) (* x.im x.im)) (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)))
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 x.im) x.re) x.re)
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
#s(literal 1 binary64)
(*.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)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.im) (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
x.re
#s(literal 6 binary64)
(pow.f64 x.im #s(literal 6 binary64))
x.im
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.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)

localize116.0ms (1.7%)

Memory
-14.2MiB live, 223.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.6702537597684421
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
accuracy5.066406250000001
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy11.531194267415565
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
accuracy49.09187770361845
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
accuracy2.4345674814069316
(fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64))
accuracy4.2846141832978235
(*.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)
accuracy5.066406250000001
(-.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))
accuracy13.684204125931464
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
accuracy0.12890625
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy4.2846141832978235
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy4.343727294132265
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy5.066406250000001
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.12890625
(*.f64 (*.f64 x.im x.re) x.im)
accuracy0.16015625
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
accuracy25.201007995948526
#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))
accuracy4.30311160980386
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
accuracy4.437477294132264
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
Samples
86.0ms256×0valid
Compiler

Compiled 381 to 42 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 30.0ms (48.8% of total)
ival-sub: 11.0ms (17.9% of total)
ival-add: 7.0ms (11.4% of total)
ival-pow: 7.0ms (11.4% of total)
ival-div: 5.0ms (8.1% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
11.0MiB live, 57.0MiB allocated
Counts
23 → 76
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)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(-.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 x.re x.im) (*.f64 x.im x.re))
(*.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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #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)
(* -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))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 6) x.re))
(* x.re (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(* 2 (* (pow x.im 2) x.re))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(* -1 (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(pow x.im 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(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 2) (+ 1 (* -3 (/ (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) (+ 1 (* -1 (/ (pow x.im 2) (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 (/ (+ (* -1 (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4)))) (+ (* -1 (pow x.im 6)) (pow x.im 6))) (pow x.re 6)))) (+ (* -1 (/ (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.im 4) (pow x.re 4)))))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(pow x.re 7)
(* (pow x.re 7) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
1
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (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) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) 1)))
(* -1 (* (pow x.re 7) (- (/ (pow x.im 6) (pow x.re 6)) 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)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 6) x.re)) (pow x.re 7))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (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))
(* (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))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (+ (* 2 x.re) (/ (pow x.re 5) (pow x.im 4)))))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 5) (pow x.im 4))))))
(* (pow x.im 6) (+ (* -1 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (* 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.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.re) (* (* x.re (+ x.im x.im)) x.im) (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (* 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.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.re) (* (* x.re (+ x.im x.im)) x.im) (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (* 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.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.re) (* (* x.re (+ x.im x.im)) x.im) (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
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)) (* (+ (* -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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (* 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.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.re) (* (* x.re (+ x.im x.im)) x.im) (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 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.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (* x.re x.re) (* x.im x.im)) (* x.re x.re) (* (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (* 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.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (- (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 6) (pow x.im 6)) x.re) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (- (pow x.re 6) (pow x.im 6)) x.re) (* (* x.re (+ x.im x.im)) x.im) (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))

simplify171.0ms (2.5%)

Memory
20.8MiB live, 207.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202966
1637847
22418802
08471772
Stop Event
1×iter limit
1×node limit
Counts
76 → 76
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)
(* -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))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 6) x.re))
(* x.re (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(* 2 (* (pow x.im 2) x.re))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(* -1 (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(pow x.im 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(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 2) (+ 1 (* -3 (/ (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) (+ 1 (* -1 (/ (pow x.im 2) (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 (/ (+ (* -1 (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4)))) (+ (* -1 (pow x.im 6)) (pow x.im 6))) (pow x.re 6)))) (+ (* -1 (/ (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.im 4) (pow x.re 4)))))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(pow x.re 7)
(* (pow x.re 7) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
1
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (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) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) 1)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) 1)))
(* -1 (* (pow x.re 7) (- (/ (pow x.im 6) (pow x.re 6)) 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)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 6) x.re)) (pow x.re 7))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (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))
(* (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))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (+ (* 2 x.re) (/ (pow x.re 5) (pow x.im 4)))))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (* -1 (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 5) (pow x.im 4))))))
(* (pow x.im 6) (+ (* -1 x.re) (/ (pow x.re 7) (pow x.im 6))))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
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)
(* -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 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* -1 (* (pow x.im 6) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 6 binary64)))
(* x.re (+ (* -1 (pow x.im 6)) (pow x.re 6)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(* -1 (pow x.im 6))
(neg.f64 (pow.f64 x.im #s(literal 6 binary64)))
(- (pow x.re 6) (pow x.im 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(fma.f64 (*.f64 (*.f64 x.im x.im) x.re) x.re (pow.f64 x.im #s(literal 4 binary64)))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 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 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) 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) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x.re x.re))
(* (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 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 1 binary64)) #s(literal 1 binary64) (*.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 (*.f64 #s(literal -3 binary64) 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 (/ (+ (* -1 (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4)))) (+ (* -1 (pow x.im 6)) (pow x.im 6))) (pow x.re 6)))) (+ (* -1 (/ (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.im 4) (pow x.re 4)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) 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 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (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 3) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(*.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 7)
(pow.f64 x.re #s(literal 7 binary64))
(* (pow x.re 7) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 7 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #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 (*.f64 #s(literal 3 binary64) 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 (*.f64 #s(literal 3 binary64) 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)) (-.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 0 binary64)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
(* -1 (* (pow x.re 3) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
(* -1 (* (pow x.re 7) (- (/ (pow x.im 6) (pow x.re 6)) 1)))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 7 binary64))) (-.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 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)
(+ (* -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 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 6) x.re)) (pow x.re 7))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) x.re)
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #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 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #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 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (+ (* 2 x.re) (/ (pow x.re 5) (pow x.im 4)))))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 5)) (pow x.re 5)) (pow x.im 4)))) (* -1 (/ (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) (- (+ (* -1 x.re) (/ (* (pow x.re 2) (+ (* -1 (pow x.re 5)) (pow x.re 5))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 5) (pow x.im 4))))))
(*.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 6) (+ (* -1 x.re) (/ (pow x.re 7) (pow x.im 6))))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (pow.f64 x.im #s(literal 6 binary64)))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.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)))

rewrite302.0ms (4.3%)

Memory
-9.0MiB live, 436.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050306
084270
1320242
22304242
08318237
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 686
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)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64)) (*.f64 x.re x.re))
(-.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 x.re x.im) (*.f64 x.im x.re))
(*.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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im #s(literal 1 binary64))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #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 (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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 (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 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.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 (fabs.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (fabs.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 (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 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 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (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 (*.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (neg.f64 x.re) x.re))))))
(/.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 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re))))
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.im #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))))) (*.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))))) (pow.f64 x.re #s(literal 6 binary64)))) (*.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))))) (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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (-.f64 (*.f64 x.re x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (neg.f64 x.re) x.re)))))
(/.f64 (neg.f64 (-.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 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 #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 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 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 (neg.f64 x.re))) (neg.f64 (neg.f64 (neg.f64 x.re))) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x.im)) (neg.f64 x.im) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x.im)) (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 (neg.f64 (neg.f64 x.re)) (neg.f64 (neg.f64 x.re)) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.re) (neg.f64 x.re) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 (neg.f64 (neg.f64 x.re)) x.re))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.re x.re))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 12 binary64)))) (*.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (neg.f64 x.im)) (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 (neg.f64 x.re) x.re) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.re) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.im) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 x.im (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 x.re x.re)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 x.im x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 x.im) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im)))
(+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(+.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))

eval238.0ms (3.4%)

Memory
-32.0MiB live, 202.4MiB allocated
Compiler

Compiled 58 464 to 3 942 computations (93.3% saved)

prune46.0ms (0.7%)

Memory
29.1MiB live, 74.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1 31071 317
Fresh123
Picked415
Done000
Total1 315101 325
Accuracy
100.0%
Counts
1 325 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.0%
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶39.6%
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
59.0%
#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)))
▶88.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
60.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
76.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
▶60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
53.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
▶53.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Compiler

Compiled 551 to 318 computations (42.3% saved)

simplify210.0ms (3%)

Memory
13.6MiB live, 103.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))
cost-diff0
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re)
cost-diff2
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff3
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 (*.f64 x.im x.im) x.re)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 (*.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 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
cost-diff0
(*.f64 (-.f64 x.re x.im) x.re)
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
cost-diff7
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050450
076445
1153433
2380428
31138403
42919403
55894403
08587402
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.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 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.re x.re)
x.re
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))
(*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
#s(literal 1 binary64)
(*.f64 x.im x.im)
x.im
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(*.f64 x.re 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
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 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 #s(literal -3 binary64) (*.f64 (*.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 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.im
x.re
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.im
(*.f64 x.re x.re)
x.re
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.im) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))) x.re)
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))
(*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))
#s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
#s(literal 1 binary64)
(*.f64 x.im x.im)
x.im
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(*.f64 x.re 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.im) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize193.0ms (2.8%)

Memory
-43.0MiB live, 70.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.066406250000001
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy5.1913814799624705
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
accuracy13.684204125931464
(*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))
accuracy23.131951926220456
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
accuracy0.0
(*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
accuracy2.835907223661162
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
accuracy4.30311160980386
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
accuracy0.0
(*.f64 x.im x.re)
accuracy0.0
(*.f64 #s(literal -3 binary64) x.im)
accuracy0.2265625
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
accuracy25.201007995948526
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
accuracy0.0
(*.f64 x.im x.im)
accuracy0.16015625
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
accuracy6.0409518514829355
(*.f64 (*.f64 x.im x.im) x.re)
accuracy25.201007995948526
#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.im) x.re)))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.re)
accuracy0.1171875
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
accuracy0.12890625
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy5.066406250000001
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Samples
90.0ms256×0valid
Compiler

Compiled 302 to 40 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 26.0ms (57.5% of total)
ival-div: 6.0ms (13.3% of total)
ival-add: 6.0ms (13.3% of total)
ival-sub: 5.0ms (11.1% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
23 → 80
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
(*.f64 (-.f64 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 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) 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 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -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.im
(+ x.im x.re)
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im 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))
(* 2 (* x.im 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))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(/ -1 (pow x.re 2))
(/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.re 2))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
1
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(/ 1 (pow x.im 2))
(- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -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) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(pow x.im 2)
(* -3 x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (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))
(* (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))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* 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))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
Calls

6 calls:

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

simplify201.0ms (2.9%)

Memory
11.0MiB live, 96.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195982
1657775
22484705
08295687
Stop Event
1×iter limit
1×node limit
Counts
80 → 78
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -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.im
(+ x.im x.re)
(* -1 (* x.im x.re))
(* x.re (+ x.re (* -1 x.im)))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* (pow x.im 2) x.re)
(* x.im 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))
(* 2 (* x.im 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))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(/ -1 (pow x.re 2))
(/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.re 2))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
1
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(/ 1 (pow x.im 2))
(- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -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) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(pow x.im 2)
(* -3 x.im)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.im 2))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(* (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))
(* (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))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* 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))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.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))
(*.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 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(* -1 (* x.im x.re))
(*.f64 (neg.f64 x.im) x.re)
(* x.re (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re 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.re x.im)) x.im)
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* 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))
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re))
(/ (+ (* -1 (pow x.im 2)) (pow x.re 2)) (pow x.re 2))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(/ -1 (pow x.re 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))
(/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.re 2))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 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)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) 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 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re) x.re)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal -3 binary64) 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) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x.re x.re))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(* -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) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.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 (*.f64 #s(literal 3 binary64) 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)) (-.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)) #s(literal 1 binary64)))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 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)
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -1 (* x.im x.re)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) x.re)
(+ (* (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)
(pow x.im 2)
(*.f64 x.im x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(+ (* -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)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 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 #s(literal -3 binary64) (*.f64 x.re x.im)) 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)))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (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 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* x.im (+ (* -1 x.re) (/ (pow x.re 2) x.im)))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 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 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #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 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ 1 (pow x.im 2)) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 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 #s(literal -3 binary64) (*.f64 x.re x.im)) 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))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (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 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x.re) x.im) #s(literal 1 binary64)) (neg.f64 x.im))
(* -1 (* x.im (+ x.re (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 (fma.f64 x.re (/.f64 x.re x.im) (neg.f64 x.re)) x.im)

rewrite249.0ms (3.6%)

Memory
-31.5MiB live, 120.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050362
076354
1301302
22155302
08333293
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 880
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 x.im x.re)
(*.f64 (-.f64 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 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) 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 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.im x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re x.re))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
Outputs
(*.f64 x.re (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))
(*.f64 x.re (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (-.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 #s(literal 0 binary64))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.im))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
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(/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal -1 binary64)) x.re) (*.f64 x.re x.im)) (/.f64 (*.f64 x.im (pow.f64 x.re #s(literal -1 binary64))) (*.f64 x.re x.im)))
(-.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re)) (*.f64 x.im (*.f64 (neg.f64 x.re) x.re))) (/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 x.im (*.f64 (neg.f64 x.re) x.re))))
(-.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal -1 binary64)) (*.f64 x.re x.re)) (*.f64 x.im (*.f64 x.re x.re))) (/.f64 x.im (*.f64 x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) (/.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re)))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.re) x.re))) (/.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.re) x.re))))
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))) (/.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))))
(-.f64 (/.f64 x.re (*.f64 (*.f64 x.im x.im) x.re)) (/.f64 (*.f64 (*.f64 x.im x.im) (pow.f64 x.re #s(literal -1 binary64))) (*.f64 (*.f64 x.im x.im) x.re)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x.re) x.re)) (*.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.re) x.re))) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.re) x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x.im #s(literal -4 binary64)) (+.f64 (pow.f64 x.re #s(literal -2 binary64)) (pow.f64 x.im #s(literal -2 binary64)))) (/.f64 (pow.f64 x.re #s(literal -4 binary64)) (+.f64 (pow.f64 x.re #s(literal -2 binary64)) (pow.f64 x.im #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 x.im #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (pow.f64 x.re #s(literal -4 binary64))) (pow.f64 x.im #s(literal -4 binary64)))) (/.f64 (pow.f64 x.re #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (pow.f64 x.re #s(literal -4 binary64))) (pow.f64 x.im #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 x.re x.re) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (/.f64 (*.f64 x.im x.im) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(-.f64 (pow.f64 x.im #s(literal -2 binary64)) (pow.f64 x.re #s(literal -2 binary64)))

eval128.0ms (1.8%)

Memory
3.2MiB live, 99.6MiB allocated
Compiler

Compiled 36 007 to 3 201 computations (91.1% saved)

prune55.0ms (0.8%)

Memory
14.0MiB live, 61.0MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New8345839
Fresh134
Picked235
Done011
Total83712849
Accuracy
100.0%
Counts
849 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 #s(approx (- (/ 1 (* x.im x.im)) (/ 1 (* x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶79.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
▶59.0%
#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)))
✓88.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
60.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
▶53.9%
#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 #s(literal -3 binary64) x.im) x.im) x.re))
▶76.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
✓60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
54.0%
#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.im) (*.f64 x.re #s(literal -3 binary64))))
▶53.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re))
✓60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
✓53.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Compiler

Compiled 617 to 353 computations (42.8% saved)

simplify207.0ms (3%)

Memory
13.4MiB live, 100.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034263
051261
1107251
2336251
31203236
44497231
08226224
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)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #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.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.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 (*.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)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re)
(*.f64 x.re x.re)
x.re
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #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 #s(literal -3 binary64) (*.f64 (*.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 (*.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.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(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(*.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 (*.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)

localize176.0ms (2.5%)

Memory
15.2MiB live, 160.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x.re #s(literal 3 binary64))
accuracy26.243593766936755
#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)))
accuracy0.1640625
(/.f64 (/.f64 x.re x.im) x.im)
accuracy0.8236407490152386
(*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)))
accuracy2.1486140868228687
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy11.61064723576261
(*.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 #s(literal -3 binary64) x.im)
accuracy0.14453125
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
accuracy6.065048453839468
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
accuracy25.201007995948526
#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.im) x.re))
accuracy0.0
(*.f64 x.im x.im)
accuracy0.1328125
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
accuracy6.065048453839468
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
accuracy25.201007995948526
#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
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
accuracy0.16015625
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
accuracy6.0409518514829355
(*.f64 (*.f64 x.im x.im) x.re)
accuracy7.765602294132265
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
Samples
113.0ms235×0valid
4.0ms6×4valid
3.0ms5×3valid
3.0ms7×1valid
1.0ms3×2valid
Compiler

Compiled 221 to 31 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult: 91.0ms (85.7% of total)
ival-div: 4.0ms (3.8% of total)
ival-add: 4.0ms (3.8% of total)
ival-pow: 3.0ms (2.8% of total)
adjust: 2.0ms (1.9% of total)
ival-sub: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-2.0MiB live, 41.1MiB allocated
Counts
20 → 32
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
(*.f64 x.re x.re)
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #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.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.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 (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 x.im x.im) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
Outputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 2)
(* -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)
(* (pow x.im 2) x.re)
(/ x.re (pow x.im 2))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -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 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 (pow x.im 2))
(pow x.im 2)
(* -3 x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
x.re
@0
((+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* (* x.im x.im) x.re) -3) (- (* (- (* x.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.im) x.re) (* (* -3 x.im) x.im) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.im x.im) x.re) (/ (/ x.re x.im) x.im))
3.0ms
x.re
@-inf
((+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* (* x.im x.im) x.re) -3) (- (* (- (* x.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.im) x.re) (* (* -3 x.im) x.im) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.im x.im) x.re) (/ (/ x.re x.im) x.im))
3.0ms
x.re
@inf
((+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* (* x.im x.im) x.re) -3) (- (* (- (* x.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.im) x.re) (* (* -3 x.im) x.im) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.im x.im) x.re) (/ (/ x.re x.im) x.im))
2.0ms
x.im
@inf
((+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* (* x.im x.im) x.re) -3) (- (* (- (* x.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.im) x.re) (* (* -3 x.im) x.im) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.im x.im) x.re) (/ (/ x.re x.im) x.im))
2.0ms
x.im
@-inf
((+ (* (* x.re x.re) x.re) (* (* (* x.im x.im) x.re) -3)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.re x.re) (* (* (* x.im x.im) x.re) -3) (- (* (- (* x.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.im) x.re) (* (* -3 x.im) x.im) (* -3 x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (* x.im x.im)) (* x.re (+ (* (/ (/ x.re x.im) x.im) x.re) -3)) (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow x.re 3) (* (* x.im x.im) x.re) (/ (/ x.re x.im) x.im))

simplify134.0ms (1.9%)

Memory
-13.6MiB live, 138.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070291
1192291
2668291
34121291
08335278
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(pow x.re 2)
(* -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)
(* (pow x.im 2) x.re)
(/ x.re (pow x.im 2))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(/ (pow x.re 3) (pow x.im 2))
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -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 (/ 1 (pow x.re 2))) (/ 1 (pow x.im 2)))))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* -3 (pow x.im 2))
(pow x.im 2)
(* -3 x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
Outputs
(* -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)
(* 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)
(pow x.re 2)
(*.f64 x.re 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 (*.f64 x.im x.im)) x.re #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 (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(/ x.re (pow x.im 2))
(/.f64 x.re (*.f64 x.im x.im))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 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) (pow x.im 2))
(/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)
(* (pow x.re 3) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(/ (pow x.re 2) (pow x.im 2))
(*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) (*.f64 x.re x.re))
(* -1 (* (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) (- (/ (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 (/ 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))))
(+ (* -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)
(+ (* (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))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(pow x.im 2)
(*.f64 x.im x.im)
(* -3 x.im)
(*.f64 #s(literal -3 binary64) x.im)
(/ (+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3)) (pow x.im 2))
(*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re)
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2)))
(*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) x.re)

rewrite219.0ms (3.1%)

Memory
7.0MiB live, 238.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
051238
1187218
21299214
08638207
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 476
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
(*.f64 x.re x.re)
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #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.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) x.re)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.im)
(*.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 (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 x.im x.im) x.re)
(/.f64 (/.f64 x.re x.im) x.im)
Outputs
(*.f64 (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(*.f64 (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re) (/.f64 (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))))) (+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re) (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x.re #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (pow.f64 x.re #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.re #s(literal 6 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.re #s(literal 6 binary64)))))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 x.im (*.f64 (neg.f64 x.im) x.re))) #s(literal -3 binary64)) (*.f64 (neg.f64 (*.f64 x.im (*.f64 (neg.f64 x.im) x.re))) #s(literal -3 binary64)))) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.re x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.im) x.re))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 (neg.f64 (pow.f64 x.re #s(literal 3/2 binary64))) (pow.f64 x.re #s(literal 3/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64)) #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re) (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) (*.f64 (neg.f64 (*.f64 x.re x.re)) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x.im)) (*.f64 x.im x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.im) x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal -3 binary64) x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))) (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 x.re) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))))))
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(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))))
(*.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.re) x.im)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im x.im))
(fabs.f64 (*.f64 x.im (*.f64 (neg.f64 x.im) x.re)))
(fabs.f64 (*.f64 (*.f64 x.im x.im) x.re))
(/.f64 (neg.f64 (neg.f64 x.re)) (*.f64 x.im x.im))
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 (neg.f64 (neg.f64 x.im))))
(/.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 x.im))
(/.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.im) x.im))
(/.f64 (/.f64 x.re x.im) (neg.f64 (neg.f64 x.im)))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re (*.f64 x.im x.im))
(neg.f64 (/.f64 (/.f64 (neg.f64 x.re) x.im) x.im))

eval79.0ms (1.1%)

Memory
-32.4MiB live, 115.6MiB allocated
Compiler

Compiled 20 950 to 1 727 computations (91.8% saved)

prune43.0ms (0.6%)

Memory
12.6MiB live, 60.2MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New4954499
Fresh123
Picked235
Done134
Total49912511
Accuracy
100.0%
Counts
511 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 #s(approx (- (/ 1 (* x.im x.im)) (/ 1 (* x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓79.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
✓59.0%
#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)))
✓88.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
60.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
✓53.9%
#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 #s(literal -3 binary64) x.im) x.im) x.re))
65.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
54.0%
#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) #s(literal -3 binary64))) (*.f64 x.im x.im)))
28.5%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
58.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
✓60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)))
✓60.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 1 107 to 351 computations (68.3% saved)

regimes20.0ms (0.3%)

Memory
34.2MiB live, 34.2MiB allocated
Counts
25 → 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.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(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.im) (*.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 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) 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))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
(-.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 #s(approx (- (/ 1 (* x.im x.im)) (/ 1 (* x.re x.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) (*.f64 x.im x.im))) (*.f64 x.re x.re))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) 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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 #s(approx (+ (* (/ (/ (neg x.im) x.re) x.re) x.im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))) (*.f64 x.re 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)))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) 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 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im)))
Calls

3 calls:

7.0ms
x.im
7.0ms
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
99.8%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
96.6%2x.re
97.1%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory
-32.8MiB live, 19.3MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.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(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.im) (*.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 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) 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))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#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))
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 #s(literal -3 binary64) 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)))
Calls

2 calls:

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))
5.0ms
x.im
Results
AccuracySegmentsBranch
97.1%2x.im
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))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
12 → 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.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(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.im) (*.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 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
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(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Calls

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
96.7%2x.im
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
11 → 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.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(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.im) (*.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 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
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

3 calls:

4.0ms
x.re
3.0ms
x.im
3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
81.4%2x.re
95.0%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))
83.7%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes6.0ms (0.1%)

Memory
-41.2MiB live, 6.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.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(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.im) (*.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 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 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) #s(literal -3 binary64))) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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 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:

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
95.0%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)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB 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.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(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.im) (*.f64 x.re #s(literal -3 binary64))))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #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
95.0%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)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.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.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 x.re) x.re))
Calls

1 calls:

1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
88.5%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 19 to 11 computations (42.1% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB 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) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re)))
Calls

3 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
58.9%1x.re
64.6%2x.im
63.4%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB 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
58.9%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
58.9%1x.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
+inf
NaN
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch37.0ms (0.5%)

Memory
-19.9MiB live, 27.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
7.768241833509003e+160
2.966309357114016e+166
Samples
10.0ms144×0valid
Compiler

Compiled 535 to 331 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (73% of total)
ival-sub: 1.0ms (14.6% of total)
ival-add: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
5.339968124894794e+150
5.860869317902031e+150
Samples
2.0ms32×0valid
Compiler

Compiled 136 to 86 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (65.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1e-322
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1e-322
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1e-322
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1e-322
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch10.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.0737653505721504e+179
9.377334284894941e+179
Samples
6.0ms80×0valid
Compiler

Compiled 277 to 171 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (75.9% of total)
ival-sub: 1.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify53.0ms (0.8%)

Memory
-7.3MiB live, 39.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076571
1119539
2250539
3620491
41529475
54838475
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 +inf.0 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) 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 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 48999999999999998552982300029491498323453514466610579826692789524676836325124248450340249626958107487406823769980705670987332561761714739921750053909978095481257984 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.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))))
(if (<=.f64 x.im #s(literal 5800000000000000215923883733159873372519809630977889459067368208186907777451925412550209609003148178169644770737425333898423510340788812990324299268096 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(literal -3 binary64) (*.f64 (*.f64 x.im x.re) 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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.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 x.re) x.re)))
(if (<=.f64 x.im #s(literal 849999999999999961792386860785527717901364471704460388695694688926769206900163567366969846270091083488692969783847463556949603486031445485865149905555236090347757772191251166134272 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))
Outputs
(if (<=.f64 (-.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 +inf.0 binary64)) (-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) 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 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))))
(if (<=.f64 x.im #s(literal 48999999999999998552982300029491498323453514466610579826692789524676836325124248450340249626958107487406823769980705670987332561761714739921750053909978095481257984 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.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))))
(if (<=.f64 x.im #s(literal 5800000000000000215923883733159873372519809630977889459067368208186907777451925412550209609003148178169644770737425333898423510340788812990324299268096 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(literal -3 binary64) (*.f64 (*.f64 x.im x.re) 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -5/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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.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 x.re) x.re)))
(if (<=.f64 x.im #s(literal 849999999999999961792386860785527717901364471704460388695694688926769206900163567366969846270091083488692969783847463556949603486031445485865149905555236090347757772191251166134272 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) (neg.f64 x.re))))
(if (<=.f64 x.im #s(literal 849999999999999961792386860785527717901364471704460388695694688926769206900163567366969846270091083488692969783847463556949603486031445485865149905555236090347757772191251166134272 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (neg.f64 x.re) x.re) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.re x.re) x.re))

derivations774.0ms (11.1%)

Memory
42.9MiB live, 735.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050362
076354
1301302
22155302
08333293
034240
051238
1187218
21299214
08638207
056237
1172217
2610208
33532208
08354202
050306
084270
1320242
22304242
08318237
01151
02051
18839
067938
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 571 to 77 computations (86.5% saved)

preprocess758.0ms (10.9%)

Memory
-141.2MiB live, 256.0MiB allocated
Compiler

Compiled 1 506 to 350 computations (76.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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