math.cube on complex, imaginary part

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.8s (23.4%)

Memory
-118.7MiB live, 1 698.5MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 900.0ms (82.6% of total)
ival-add: 123.0ms (11.3% of total)
ival-sub: 58.0ms (5.3% of total)
ival-true: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain167.0ms (2.2%)

Memory
3.5MiB live, 446.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
160-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
150-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue290
↳(*.f64 x.re x.re)overflow60
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow107
↳(*.f64 x.im x.im)overflow63
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow115
↳(*.f64 x.im x.re)overflow35
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow67
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow35
↳(*.f64 x.re x.im)overflow35
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue160
↳(*.f64 x.re x.re)overflow60
↳(*.f64 x.im x.im)overflow63
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o150
Confusion
Predicted +Predicted -
+490
-0207
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4900
-00207
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0207
138
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 153 to 37 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (72.1% of total)
ival-add: 6.0ms (20.6% of total)
ival-sub: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess212.0ms (2.8%)

Memory
2.6MiB live, 230.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031103
111487
240885
3127857
4472557
01119
02019
14417
214517
356511
4171211
5560311
0856911
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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.0%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify210.0ms (2.7%)

Memory
30.1MiB live, 261.2MiB 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.im)
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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
02065
14459
214559
356553
4171253
5560353
0856953
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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.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.re)
(+.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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.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.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.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)

localize74.0ms (1%)

Memory
-28.8MiB live, 130.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.6244827456913735
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy3.746071044132264
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy7.335877639075968
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
63.0ms256×0valid
Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 51.0ms (93.4% of total)
ival-add: 2.0ms (3.7% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-9.2MiB live, 34.8MiB allocated
Counts
5 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify223.0ms (2.9%)

Memory
25.8MiB live, 304.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057215
1202207
2773206
34378206
08308201
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.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 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.im x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(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 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.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 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (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)) (pow.f64 x.im #s(literal 3 binary64)))
(* (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))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite52.0ms (0.7%)

Memory
27.1MiB live, 70.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
18939
069138
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 119
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.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.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.im (+.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.re) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.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.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
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eval40.0ms (0.5%)

Memory
-17.0MiB live, 29.5MiB allocated
Compiler

Compiled 3 305 to 481 computations (85.4% saved)

prune6.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1278135
Fresh000
Picked101
Done000
Total1288136
Accuracy
100.0%
Counts
136 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶69.8%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶48.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
54.0%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
59.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶75.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
▶54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶90.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
Compiler

Compiled 430 to 248 computations (42.3% saved)

simplify190.0ms (2.5%)

Memory
-17.1MiB live, 174.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045403
071403
1141385
2416385
31533363
45522363
08262361
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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(neg.f64 x.im)
x.im
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 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.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
(pow.f64 x.im #s(literal 3 binary64))
x.re
(*.f64 x.re x.re)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(neg.f64 x.im)
x.im
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re)))))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im)
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -1 binary64)) (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 1 binary64))
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 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.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.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)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 (neg.f64 x.re) x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 (neg.f64 x.re) x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 (/.f64 x.im x.re) x.im) x.re)) x.im)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
(pow.f64 x.im #s(literal 3 binary64))
x.re
(*.f64 x.re x.re)

localize197.0ms (2.6%)

Memory
-27.6MiB live, 143.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
accuracy5.206503611032854
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
accuracy5.273174755699643
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
accuracy12.457553228989651
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
accuracy0.1484375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.6244827456913735
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im)
accuracy7.335877639075968
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy10.756880637924445
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
accuracy0.1484375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.6244827456913735
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy7.335877639075968
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy30.49498601442027
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy0.0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.15234375
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
accuracy0.203125
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
accuracy29.318599352155125
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
accuracy0.19140625
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
accuracy2.753875973661162
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
accuracy3.651172104892415
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
Samples
138.0ms238×0valid
27.0ms5×1valid
5.0ms8×3valid
2.0ms3×4valid
1.0ms2×2valid
Compiler

Compiled 319 to 34 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 46.0ms (70.2% of total)
ival-div: 6.0ms (9.2% of total)
ival-add: 4.0ms (6.1% of total)
ival-pow: 3.0ms (4.6% of total)
adjust: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory
6.2MiB live, 52.1MiB allocated
Counts
24 → 45
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(neg.f64 x.im)
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(/ (pow x.im 3) (pow x.re 2))
(/ (pow x.im 3) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x.im
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* 3 x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (/ (/ (pow x.im 3) x.re) x.re) (/ (pow x.im 3) x.re))
4.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* 3 x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (/ (/ (pow x.im 3) x.re) x.re) (/ (pow x.im 3) x.re))
4.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* 3 x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (/ (/ (pow x.im 3) x.re) x.re) (/ (pow x.im 3) x.re))
4.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* 3 x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (/ (/ (pow x.im 3) x.re) x.re) (/ (pow x.im 3) x.re))
4.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re)))) (neg x.im) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.im) x.re) (* (* 3 x.re) x.im) (* 3 x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* 3 x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 1) (* x.re x.re)) (/ (/ (pow x.im 3) x.re) x.re) (/ (pow x.im 3) x.re))

simplify228.0ms (3%)

Memory
12.0MiB live, 152.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094427
1307418
21062404
34865404
08169397
Stop Event
1×iter limit
1×node limit
Counts
45 → 45
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(/ (pow x.im 3) (pow x.re 2))
(/ (pow x.im 3) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im 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))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(* -3 (pow x.re 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) 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 3) (pow x.re 2))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/ (pow x.im 3) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* -1 x.im)
(neg.f64 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 3) (- (/ (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)) (pow.f64 x.im #s(literal 3 binary64)))
(* (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))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3 binary64)))

rewrite300.0ms (3.9%)

Memory
-19.2MiB live, 124.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045328
071328
1255300
21844292
09072284
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 371
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(neg.f64 x.im)
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im)))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 x.im (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im))))))
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im)) (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im)) (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 x.im x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) (*.f64 #s(literal -3 binary64) x.re)) x.re (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (neg.f64 x.im) x.re) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (neg.f64 x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) (neg.f64 x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.im x.im) x.im (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 x.im (*.f64 x.im x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))) (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))) (neg.f64 x.im)))
(+.f64 (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))) (/.f64 (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))))))
(+.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (/.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 x.re x.re)))
(*.f64 (/.f64 x.im x.re) (/.f64 (*.f64 x.im x.im) x.re))
(*.f64 (/.f64 (neg.f64 x.im) x.re) (*.f64 (/.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (*.f64 x.im x.im) (fabs.f64 (/.f64 x.im (*.f64 x.re x.re))))
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x.im #s(literal 3/2 binary64)) x.re) #s(literal 2 binary64))
(/.f64 (fabs.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 (neg.f64 (neg.f64 x.re))))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 (neg.f64 x.re)))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 x.re x.re))))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (neg.f64 x.re) x.re))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (*.f64 x.re x.re)))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))
(neg.f64 (*.f64 x.im (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fabs.f64 (*.f64 x.im (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (*.f64 x.re x.re)) (/.f64 (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (/.f64 (pow.f64 x.im #s(literal 3/2 binary64)) x.re))
(*.f64 (*.f64 x.im x.im) (/.f64 x.im x.re))
(*.f64 x.im (/.f64 (*.f64 x.im x.im) x.re))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (neg.f64 (neg.f64 x.re))))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (neg.f64 x.re)))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.re))
(/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)
(neg.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) x.re) (/.f64 (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) x.re))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (neg.f64 x.re)) (/.f64 (sinh.f64 (*.f64 (log.f64 x.im) #s(literal 3 binary64))) (neg.f64 x.re)))

eval87.0ms (1.1%)

Memory
24.8MiB live, 69.0MiB allocated
Compiler

Compiled 23 100 to 1 679 computations (92.7% saved)

prune68.0ms (0.9%)

Memory
-7.7MiB live, 37.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New45811469
Fresh213
Picked415
Done000
Total46413477
Accuracy
100.0%
Counts
477 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
59.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
67.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶54.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
✓54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶92.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
76.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
▶59.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
80.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
▶48.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
Compiler

Compiled 805 to 462 computations (42.6% saved)

simplify246.0ms (3.2%)

Memory
-25.6MiB live, 121.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044324
063313
1134313
2383313
31371287
44038287
57469287
08541286
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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(neg.f64 x.im)
x.im
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(neg.f64 x.im)
x.im
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
x.im
x.re
#s(literal 3 binary64)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(neg.f64 x.im)
x.im
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im)))
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
(*.f64 #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)) (neg.f64 x.im))
(neg.f64 x.im)
x.im
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
x.im
x.re
#s(literal 3 binary64)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 x.im (fma.f64 (*.f64 #s(literal 2 binary64) x.re) x.re #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(*.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)

localize150.0ms (1.9%)

Memory
10.8MiB live, 54.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy3.6244827456913735
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy7.335877639075968
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy30.49498601442027
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.15234375
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
accuracy0.19140625
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
accuracy29.318599352155125
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
accuracy0.0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
accuracy12.457553228989651
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re))
accuracy32.83717792002856
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))
accuracy0.0
(neg.f64 x.im)
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
accuracy3.651172104892415
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
accuracy29.073865246847145
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
accuracy0.0
(neg.f64 x.im)
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
accuracy1.335923738027801
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))
accuracy3.651172104892415
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
Samples
49.0ms238×0valid
5.0ms8×3valid
2.0ms3×4valid
2.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 243 to 35 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 23.0ms (55.1% of total)
ival-add: 6.0ms (14.4% of total)
adjust: 3.0ms (7.2% of total)
ival-div: 3.0ms (7.2% of total)
ival-pow: 3.0ms (7.2% of total)
ival-sub: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
20 → 42
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(neg.f64 x.im)
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

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

simplify251.0ms (3.3%)

Memory
-4.3MiB live, 101.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091410
1300401
21051387
34893387
08182380
Stop Event
1×iter limit
1×node limit
Counts
42 → 42
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(pow x.re 2)
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im 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))
(pow x.re 2)
(*.f64 x.re x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re))
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(* -1 x.im)
(neg.f64 x.im)
(* x.im (+ 3 (* -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 3 binary64)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im 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 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (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)) (pow.f64 x.im #s(literal 3 binary64)))
(* (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))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite280.0ms (3.6%)

Memory
-9.4MiB live, 178.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044290
063279
1248255
21703255
08594246
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 404
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(neg.f64 x.im)
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
(*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))
#s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(*.f64 x.im x.re)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im)))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(*.f64 x.im (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im))) (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im))) (neg.f64 (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im) (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im)) (fma.f64 x.im x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im)) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (neg.f64 x.im)) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (*.f64 (neg.f64 x.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im)))
(/.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (fma.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.im x.im) (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) x.im))
(fma.f64 (pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64)))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x.im)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) (*.f64 x.re x.re)) #s(literal -3 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) (*.f64 #s(literal -3 binary64) x.re)) x.re (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 (neg.f64 x.im)) (*.f64 x.im x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (neg.f64 x.im) x.re) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal -3 binary64) (neg.f64 x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.im x.im) x.im (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 (neg.f64 x.im) x.re) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) (neg.f64 x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 (neg.f64 x.im) (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 x.im (*.f64 x.im x.im) (*.f64 (*.f64 (neg.f64 x.im) #s(literal -3 binary64)) (*.f64 x.re x.re)))
(fma.f64 x.re (*.f64 (*.f64 #s(literal -3 binary64) x.re) (neg.f64 x.im)) (pow.f64 x.im #s(literal 3 binary64)))
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(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x.im))) (sqrt.f64 (neg.f64 (neg.f64 x.im))) x.im)
(fma.f64 (sqrt.f64 (neg.f64 x.im)) (sqrt.f64 (neg.f64 x.im)) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) x.im)
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (neg.f64 x.im) x.re (*.f64 (neg.f64 x.im) x.re))
(fma.f64 x.im x.re (*.f64 (neg.f64 (neg.f64 x.im)) x.re))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re)))
(fma.f64 x.re (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.re))
(fma.f64 x.re x.im (*.f64 (neg.f64 (neg.f64 x.im)) x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re))))) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re))))))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (*.f64 x.im x.re) (*.f64 (neg.f64 x.re) x.im))
(-.f64 (*.f64 x.im x.re) (*.f64 (neg.f64 x.im) x.re))
(-.f64 (neg.f64 x.im) x.im)
(-.f64 x.im (neg.f64 x.im))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im x.re)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x.im) x.re) (*.f64 x.im x.re)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x.im))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.im)) #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im #s(literal 0 binary64))))
(+.f64 (*.f64 (neg.f64 x.im) x.re) (*.f64 (neg.f64 x.im) x.re))
(+.f64 (*.f64 x.im x.re) (*.f64 (neg.f64 (neg.f64 x.im)) x.re))
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))
(+.f64 (neg.f64 x.im) (neg.f64 x.im))
(+.f64 x.im x.im)

eval115.0ms (1.5%)

Memory
6.2MiB live, 91.6MiB allocated
Compiler

Compiled 18 386 to 1 538 computations (91.6% saved)

prune71.0ms (0.9%)

Memory
-9.4MiB live, 49.8MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4524456
Fresh437
Picked055
Done011
Total45613469
Accuracy
100.0%
Counts
469 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
59.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
▶67.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
▶48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓54.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
✓54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
▶54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
✓92.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
76.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
✓59.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
▶80.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
✓48.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
▶48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
Compiler

Compiled 651 to 376 computations (42.2% saved)

simplify278.0ms (3.6%)

Memory
29.7MiB live, 259.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
043360
063352
1127342
2366342
31345312
44778312
08093312
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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 x.im x.re)
#s(literal 3 binary64)
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
x.im
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re))))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
(*.f64 x.im x.im)
(/.f64 x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.im))))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.im)))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.im))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.im)
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))
(/.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(/.f64 x.im x.re)
#s(literal 3 binary64)
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
x.im
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) x.re)
x.re
(*.f64 x.im x.re)
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 (*.f64 x.im x.re) x.re)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.re) x.re) x.im))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.re) x.re) x.im)
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) x.im)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(*.f64 x.im x.im)
(/.f64 x.im (*.f64 x.re x.re))
(/.f64 (/.f64 x.im x.re) x.re)
(*.f64 x.re x.re)
x.re

localize207.0ms (2.7%)

Memory
0.4MiB live, 153.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re))))
accuracy5.85585163935485
(/.f64 x.im (*.f64 x.re x.re))
accuracy8.549913251898957
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
accuracy12.457553228989651
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.19140625
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy6.468732527754269
(*.f64 (*.f64 x.re x.re) x.im)
accuracy29.318599352155125
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.15234375
(*.f64 x.re (*.f64 x.im x.re))
accuracy0.19140625
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
accuracy29.318599352155125
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.19140625
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
accuracy6.5158476553341185
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
accuracy29.318599352155125
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
accuracy0.12109375
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
accuracy0.3345788095495122
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
accuracy12.457553228989651
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re))
Samples
161.0ms238×0valid
15.0ms2×2valid
6.0ms8×3valid
2.0ms3×4valid
2.0ms5×1valid
Compiler

Compiled 270 to 36 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 63.0ms (61% of total)
ival-div: 27.0ms (26.1% of total)
ival-sub: 4.0ms (3.9% of total)
ival-pow: 3.0ms (2.9% of total)
ival-add: 3.0ms (2.9% of total)
adjust: 2.0ms (1.9% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-24.5MiB live, 22.6MiB allocated
Counts
21 → 33
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(/.f64 x.im (*.f64 x.re x.re))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(pow x.re 2)
(* x.im (pow x.re 2))
(* x.im x.re)
(/ (pow x.im 3) (pow x.re 2))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2))
(/ x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
3
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im (* (* x.re x.re) 3)) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re (* x.im x.re)) 3) (* x.re (* x.im x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* (* x.im x.im) (/ x.im (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (* x.re x.re)) (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (/ x.im (* x.re x.re)))
3.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im (* (* x.re x.re) 3)) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re (* x.im x.re)) 3) (* x.re (* x.im x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* (* x.im x.im) (/ x.im (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (* x.re x.re)) (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (/ x.im (* x.re x.re)))
3.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im (* (* x.re x.re) 3)) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re (* x.im x.re)) 3) (* x.re (* x.im x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* (* x.im x.im) (/ x.im (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (* x.re x.re)) (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (/ x.im (* x.re x.re)))
3.0ms
x.re
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im (* (* x.re x.re) 3)) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re (* x.im x.re)) 3) (* x.re (* x.im x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* (* x.im x.im) (/ x.im (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (* x.re x.re)) (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (/ x.im (* x.re x.re)))
3.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* x.re x.re)) (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (* (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.im (* (* x.re x.re) 3)) (* (* x.re x.re) 3) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re (* x.im x.re)) 3) (* x.re (* x.im x.re)) (* x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* (* x.im x.im) (/ x.im (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (* x.re x.re)) (- (* 3 x.im) (* (* x.im x.im) (/ x.im (* x.re x.re)))) (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (/ x.im (* x.re x.re)))

simplify251.0ms (3.3%)

Memory
-0.6MiB live, 184.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073341
1239335
2841307
34858307
08113305
Stop Event
1×iter limit
1×node limit
Counts
33 → 33
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(pow x.re 2)
(* x.im (pow x.re 2))
(* x.im x.re)
(/ (pow x.im 3) (pow x.re 2))
(* -1 (/ (pow x.im 2) (pow x.re 2)))
(/ (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))) (pow x.re 2))
(/ x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
3
(+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* -1 (/ (pow x.im 3) (pow x.re 2)))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))
(/ (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3)) (pow x.re 2))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(/ (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2)))) (pow x.re 2))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(/ (pow x.im 3) (pow x.re 2))
(/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(* -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)) (* 3 (pow x.re 2))) (pow x.re 2))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(/ x.im (pow x.re 2))
(/.f64 x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
3
#s(literal 3 binary64)
(+ 3 (* -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 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(* x.im (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (* 3 (/ 1 (pow x.im 2))) (/ 1 (pow x.re 2))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))) (*.f64 x.im x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 #s(literal 3 binary64) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) (/.f64 #s(literal 3 binary64) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)) (/.f64 #s(literal 3 binary64) (*.f64 x.im x.im))) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))

rewrite304.0ms (4%)

Memory
7.5MiB live, 201.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043321
063313
1227293
21411271
08887261
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 510
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im x.re))
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re))
(-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(/.f64 x.im (*.f64 x.re x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(*.f64 (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (neg.f64 x.re)) (neg.f64 x.re))
(*.f64 (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) x.re) x.re)
(*.f64 (neg.f64 x.re) (*.f64 (neg.f64 x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))))
(*.f64 (*.f64 x.re x.re) #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)))
(*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (*.f64 x.re x.re))
(*.f64 x.re (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) x.re))
#s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) x.im) (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) x.im) (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)
(*.f64 x.im (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(*.f64 x.im (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.im) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)))) (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.im) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))))) (*.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.im) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.im) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)))))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 (neg.f64 (/.f64 (/.f64 x.im x.re) x.re)) (*.f64 x.im x.im)) (*.f64 (neg.f64 (/.f64 (/.f64 x.im x.re) x.re)) (*.f64 x.im x.im)))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im)) (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) (*.f64 #s(literal 3 binary64) x.im)))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 x.im (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 x.im (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 x.im (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) x.im))
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x.im x.im))) (-.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) x.im) (*.f64 #s(literal 3 binary64) x.im)))
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(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))
(fma.f64 (neg.f64 x.im) (/.f64 (/.f64 x.im x.re) x.re) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))))
(-.f64 #s(literal 3 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))))))
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (+.f64 (-.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (/.f64 x.im x.re) (neg.f64 (neg.f64 x.re)))
(/.f64 (/.f64 x.im x.re) x.re)
(/.f64 (/.f64 (neg.f64 x.im) x.re) (neg.f64 x.re))
(/.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.re) x.re))
(/.f64 x.im (*.f64 x.re x.re))
(neg.f64 (/.f64 x.im (*.f64 (neg.f64 x.re) x.re)))

eval80.0ms (1%)

Memory
-3.9MiB live, 88.1MiB allocated
Compiler

Compiled 21 151 to 1 875 computations (91.1% saved)

prune71.0ms (0.9%)

Memory
-0.7MiB live, 51.3MiB allocated
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4361437
Fresh022
Picked235
Done066
Total43812450
Accuracy
100.0%
Counts
450 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
59.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓54.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
✓54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
✓54.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
✓92.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
76.8%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
✓59.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
44.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(approx (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re))) x.im)) (*.f64 x.re x.re)))
✓48.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
✓48.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
Compiler

Compiled 1 192 to 361 computations (69.7% saved)

regimes25.0ms (0.3%)

Memory
-10.6MiB live, 36.6MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(approx (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re))) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* (* -3 x.re) x.re) (* x.im x.im)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 3 binary64)) (*.f64 x.re x.re)))))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))
Calls

3 calls:

11.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
7.0ms
x.im
7.0ms
x.re
Results
AccuracySegmentsBranch
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
95.5%2x.re
97.1%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(approx (+ (* (/ (neg x.im) x.re) (/ x.im x.re)) 3) (*.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re))) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (/.f64 x.im (*.f64 x.re x.re)))) (*.f64 x.re x.re)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im))))
Calls

2 calls:

5.0ms
x.im
4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.1%2x.im
97.9%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Calls

1 calls:

3.0ms
x.im
Results
AccuracySegmentsBranch
97.9%3x.im
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Calls

2 calls:

3.0ms
x.im
3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.7%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
82.2%2x.im
Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 #s(literal 3 binary64) x.im)) (*.f64 x.re x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re (*.f64 x.im x.re)) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.7%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes13.0ms (0.2%)

Memory
-40.2MiB live, 7.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Calls

3 calls:

10.0ms
x.re
1.0ms
x.im
1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
59.0%1x.im
59.0%1x.re
59.0%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.873618850244833e+83
9.773124183078097e+97
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch4.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
4.298209493783334e-109
4.863713067539414e-109
Samples
2.0ms32×0valid
Compiler

Compiled 138 to 88 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (71.8% 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)

bsearch21.0ms (0.3%)

Memory
31.5MiB live, 31.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
7.0ms
1.887059506235164e+201
4.348997813316701e+202
11.0ms
1.0831748741627547e-111
3.7055402828455597e-110
Samples
11.0ms176×0valid
Compiler

Compiled 696 to 424 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (77.3% of total)
ival-sub: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-4.360387688674439e-304
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-4.360387688674439e-304
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify148.0ms (1.9%)

Memory
-6.0MiB live, 93.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080551
1135527
2322527
31066479
43170479
57222479
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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))))
(if (<=.f64 x.im #s(literal 5076909840309109/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) (if (<=.f64 x.im #s(literal 39999999999999996069898365278566921088288513469561573131779937617735292593067642627612308874319017922698993368415610338559487324165226195281267807637034885371667145141788750772056618645253570099507363840 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (- (* 3 x.im) (/ (/ (pow x.im 3) x.re) x.re)) (*.f64 (fma.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.im x.re) #s(literal 3 binary64)) x.im)) (*.f64 x.re x.re)))))
(if (<=.f64 x.im #s(literal 5076909840309109/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 6092291808370931/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) (if (<=.f64 x.im #s(literal 39999999999999996069898365278566921088288513469561573131779937617735292593067642627612308874319017922698993368415610338559487324165226195281267807637034885371667145141788750772056618645253570099507363840 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (or (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) x.re)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))))
(if (or (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -4941461262385513/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (not (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im)))) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) #s(approx (+ (* x.im x.im) (* -3 (* x.re x.re))) (*.f64 x.im x.im))))

soundness1.0s (13.2%)

Memory
-21.6MiB live, 647.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045328
071328
1255300
21844292
09072284
01151
02051
18939
069138
094427
1307418
21062404
34865404
08169397
057215
1202207
2773206
34378206
08308201
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 803 to 255 computations (68.2% saved)

preprocess150.0ms (2%)

Memory
32.7MiB live, 270.2MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 984 to 496 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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