Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 6.0s)

analyze11.0ms (0.2%)

Memory
-9.9MiB live, 27.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample639.0ms (10.7%)

Memory
20.9MiB live, 1 005.2MiB allocated
Samples
456.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-add: 184.0ms (72.5% of total)
ival-div: 61.0ms (24% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess99.0ms (1.7%)

Memory
21.7MiB live, 55.0MiB allocated
Algorithm
egg-herbie
Rules
1 008×times-frac
972×div-sub
948×distribute-lft-in
880×distribute-rgt-in
648×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
14442
210842
332042
4130242
5266942
6364042
7420842
8463242
9489142
10504542
11545842
12560742
057
187
2117
3137
0137
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))
Call 2
Inputs
(/ (+ x y) (+ y y))
(/ (+ (neg x) y) (+ y y))
(/ (+ x (neg y)) (+ (neg y) (neg y)))
(neg (/ (+ (neg x) y) (+ y y)))
(neg (/ (+ x (neg y)) (+ (neg y) (neg y))))
(/ (+ y x) (+ x x))
Outputs
(/ (+ x y) (+ y y))
(* -1/2 (- -1 (/ x y)))
(/ (+ (neg x) y) (+ y y))
(* (- y x) (/ 1/2 y))
(/ (+ x (neg y)) (+ (neg y) (neg y)))
(* (- y x) (/ 1/2 y))
(neg (/ (+ (neg x) y) (+ y y)))
(* (- y x) (/ -1/2 y))
(neg (/ (+ x (neg y)) (+ (neg y) (neg y))))
(* (- y x) (/ -1/2 y))
(/ (+ y x) (+ x x))
(+ 1/2 (* 1/2 (/ y x)))

explain252.0ms (4.2%)

Memory
0.1MiB live, 121.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y y)
00-0-(/.f64 (+.f64 x y) (+.f64 y y))
00-0-y
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (52.8% of total)
ival-div: 4.0ms (42.3% of total)
ival-true: 1.0ms (10.6% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify5.0ms (0.1%)

Memory
-29.2MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (+.f64 y y))
Rules
10×/-lowering-/.f32
10×/-lowering-/.f64
+-lowering-+.f64
+-lowering-+.f32
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
1815
21115
31315
01315
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
(+ x y)
x
y
(+ y y)
Outputs
(/ (+ x y) (+ y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(+ x y)
(+.f64 x y)
x
y
(+ y y)
(+.f64 y y)

localize16.0ms (0.3%)

Memory
38.3MiB live, 38.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.1% of total)
ival-add: 2.0ms (44.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-36.0MiB live, 6.3MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/ (+ x y) (+ y y))>
#<alt (+ x y)>
#<alt (+ y y)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (+ x y) (+ y y))
1.0ms
y
@0
(+ y y)
1.0ms
x
@inf
(/ (+ x y) (+ y y))
1.0ms
y
@0
(/ (+ x y) (+ y y))
0.0ms
y
@inf
(/ (+ x y) (+ y y))

rewrite54.0ms (0.9%)

Memory
8.9MiB live, 86.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
150×/-lowering-/.f32
150×/-lowering-/.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
76×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
13513
030213
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
3 → 61
Calls
Call 1
Inputs
(/ (+ x y) (+ y y))
(+ x y)
(+ y y)
Outputs
(neg.f64 (*.f64 (+.f64 x y) (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 y y))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y))) (+.f64 y y))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (+.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (+.f64 y y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+.f64 y y)
(+.f64 (neg.f64 y) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(neg.f64 (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

simplify228.0ms (3.8%)

Memory
17.4MiB live, 307.3MiB allocated
Algorithm
egg-herbie
Rules
4 752×accelerator-lowering-fma.f32
4 752×accelerator-lowering-fma.f64
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
1 714×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
195240
2195240
3539240
42494240
54900240
66147240
77103240
87625240
08012222
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 0 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))

eval12.0ms (0.2%)

Memory
-7.3MiB live, 31.9MiB allocated
Compiler

Compiled 1 177 to 164 computations (86.1% saved)

prune12.0ms (0.2%)

Memory
-6.3MiB live, 32.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1165121
Fresh000
Picked101
Done000
Total1175122
Accuracy
100.0%
Counts
122 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
63.0%
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
50.8%
(/.f64 x (+.f64 y y))
4.5%
(*.f64 (+.f64 y y) (+.f64 x y))
49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 88 to 50 computations (43.2% saved)

simplify281.0ms (4.7%)

Memory
-4.6MiB live, 422.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff1024
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
cost-diff0
(+.f64 y y)
cost-diff0
(/.f64 x (+.f64 y y))
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 y y)
cost-diff0
(*.f64 (+.f64 y y) (+.f64 x y))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
Rules
5 532×accelerator-lowering-fma.f32
5 532×accelerator-lowering-fma.f64
3 588×/-lowering-/.f32
3 588×/-lowering-/.f64
3 336×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
13971
212971
333371
4131471
5467071
0815069
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* 1/2 (/ x y)) 1/2)
1/2
(/ x y)
x
y
1/2
(* (+ y y) (+ x y))
(+ y y)
y
(+ x y)
x
(/ x (+ y y))
x
(+ y y)
y
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y)))
(* (+ x y) (- x y))
(+ x y)
x
y
(- x y)
(* (+ y y) (- x y))
(+ y y)
Outputs
(+ (* 1/2 (/ x y)) 1/2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x y)
(/.f64 x y)
x
y
1/2
#s(literal 1/2 binary64)
(* (+ y y) (+ x y))
(*.f64 (+.f64 y y) (+.f64 x y))
(+ y y)
(+.f64 y y)
y
(+ x y)
(+.f64 x y)
x
(/ x (+ y y))
(/.f64 x (+.f64 y y))
x
(+ y y)
(+.f64 y y)
y
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* (+ x y) (- x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(+ x y)
(+.f64 x y)
x
y
(- x y)
(-.f64 x y)
(* (+ y y) (- x y))
(*.f64 (+.f64 y y) (-.f64 x y))
(+ y y)
(+.f64 y y)

localize52.0ms (0.9%)

Memory
11.7MiB live, 145.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 y y) (-.f64 x y))
accuracy100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
accuracy63.8%
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
accuracy100.0%
(/.f64 x (+.f64 y y))
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 (+.f64 y y) (+.f64 x y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
Samples
34.0ms256×0valid
Compiler

Compiled 80 to 16 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 12.0ms (52.3% of total)
ival-mult: 6.0ms (26.2% of total)
ival-add: 3.0ms (13.1% of total)
ival-sub: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-10.9MiB live, 28.2MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (+ (* 1/2 (/ x y)) 1/2)>
#<alt (/ x y)>
#<alt (* (+ y y) (+ x y))>
#<alt (+ y y)>
#<alt (+ x y)>
#<alt (/ x (+ y y))>
#<alt (/ (* (+ x y) (- x y)) (* (+ y y) (- x y)))>
#<alt (* (+ x y) (- x y))>
#<alt (- x y)>
#<alt (* (+ y y) (- x y))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* y (+ (* -2 y) (* 2 x)))>
#<alt (* -2 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* -2 (pow y 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* (pow y 2) (- (* 2 (/ x y)) 2))>
#<alt (* -2 (pow y 2))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (+ (* -2 (pow y 2)) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* (+ y y) (+ x y))
0.0ms
x
@inf
(+ (* 1/2 (/ x y)) 1/2)
0.0ms
x
@0
(+ (* 1/2 (/ x y)) 1/2)
0.0ms
y
@0
(* (+ y y) (+ x y))
0.0ms
x
@-inf
(* (+ y y) (+ x y))

rewrite97.0ms (1.6%)

Memory
-7.0MiB live, 109.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
520×/-lowering-/.f32
520×/-lowering-/.f64
514×*-lowering-*.f32
514×*-lowering-*.f64
296×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
19652
093351
Stop Event
iter limit
iter limit
node limit
Counts
10 → 384
Calls
Call 1
Inputs
(+ (* 1/2 (/ x y)) 1/2)
(/ x y)
(* (+ y y) (+ x y))
(+ y y)
(+ x y)
(/ x (+ y y))
(/ (* (+ x y) (- x y)) (* (+ y y) (- x y)))
(* (+ x y) (- x y))
(- x y)
(* (+ y y) (- x y))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))))
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(/.f64 (*.f64 (+.f64 y y) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (-.f64 x y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (+.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (+.f64 y y) (-.f64 x y))
(*.f64 (+.f64 y y) (neg.f64 (-.f64 x y)))
(*.f64 (-.f64 x y) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y y) (-.f64 x y)))
(*.f64 (neg.f64 (-.f64 x y)) (+.f64 y y))
(*.f64 (*.f64 (-.f64 x y) #s(literal 2 binary64)) y)

simplify537.0ms (9%)

Memory
-15.3MiB live, 766.7MiB allocated
Algorithm
egg-herbie
Rules
16 108×accelerator-lowering-fma.f32
16 108×accelerator-lowering-fma.f64
3 698×*-lowering-*.f32
3 698×*-lowering-*.f64
1 732×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321173
14141113
211061113
345071077
085191041
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 2 (* x y))
(* y (+ (* -2 y) (* 2 x)))
(* y (+ (* -2 y) (* 2 x)))
(* y (+ (* -2 y) (* 2 x)))
(* -2 (pow y 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* -2 (pow y 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(* -2 (pow y 2))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(* 2 (* x y))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* y (+ (* 2 x) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 2 binary64)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 2 binary64)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (pow y 2))
(*.f64 y (*.f64 y #s(literal 2 binary64)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (* -1 x))) (pow x 2))
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* y (+ (* -2 y) (* 2 x)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* y (+ (* -2 y) (* 2 x)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* y (+ (* -2 y) (* 2 x)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* -2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -2 binary64)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* -2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -2 binary64)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* (pow y 2) (- (* 2 (/ x y)) 2))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* -2 (pow y 2))
(*.f64 y (*.f64 y #s(literal -2 binary64)))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(+ (* -2 (pow y 2)) (* 2 (* x y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* x (+ (* -2 (/ (pow y 2) x)) (* 2 y)))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* 2 (* x y))
(*.f64 y (+.f64 x x))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))
(* -1 (* x (+ (* -2 y) (* 2 (/ (pow y 2) x)))))
(*.f64 y (*.f64 #s(literal 2 binary64) (-.f64 x y)))

eval89.0ms (1.5%)

Memory
30.7MiB live, 213.6MiB allocated
Compiler

Compiled 11 608 to 936 computations (91.9% saved)

prune100.0ms (1.7%)

Memory
-10.8MiB live, 123.5MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New7985803
Fresh000
Picked145
Done000
Total7999808
Accuracy
100.0%
Counts
808 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
3.8%
(fma.f64 (+.f64 y y) x (+.f64 y y))
100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
99.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
50.8%
(/.f64 x (+.f64 y y))
4.5%
(*.f64 (+.f64 y y) (+.f64 x y))
3.5%
(*.f64 (+.f64 y y) y)
3.8%
(*.f64 (+.f64 y y) x)
49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 119 to 67 computations (43.7% saved)

simplify216.0ms (3.6%)

Memory
2.1MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff192
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
cost-diff0
(+.f64 y y)
cost-diff0
(fma.f64 (+.f64 y y) x (+.f64 y y))
cost-diff-64
(*.f64 (+.f64 y y) y)
cost-diff0
(+.f64 y y)
cost-diff-64
(*.f64 (+.f64 y y) x)
cost-diff0
(+.f64 y y)
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y x))
Rules
2 704×accelerator-lowering-fma.f32
2 704×accelerator-lowering-fma.f64
1 016×*-lowering-*.f32
1 016×*-lowering-*.f64
568×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
14366
212363
332963
458463
5117063
6170263
7253563
8317463
9341163
10352263
11353963
12353963
13355963
14356763
15356763
0356760
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* 1/2 (/ 1 (/ y x))) 1/2)
1/2
(/ 1 (/ y x))
1
(/ y x)
y
x
(* (+ y y) x)
(+ y y)
y
x
(* (+ y y) y)
(+ y y)
y
(+ (* (+ y y) x) (+ y y))
(+ y y)
y
x
(+ (* (- 0 x) (+ y y)) (+ y y))
(- 0 x)
0
x
(+ y y)
y
Outputs
(+ (* 1/2 (/ 1 (/ y x))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ y x))
(/.f64 x y)
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
x
(* (+ y y) x)
(fma.f64 x (+.f64 y y) #s(literal 0 binary64))
(+ y y)
(+.f64 y y)
y
x
(* (+ y y) y)
(fma.f64 y (+.f64 y y) #s(literal 0 binary64))
(+ y y)
(+.f64 y y)
y
(+ (* (+ y y) x) (+ y y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ y y)
(+.f64 y y)
y
x
(+ (* (- 0 x) (+ y y)) (+ y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ y y)
(+.f64 y y)
y

localize58.0ms (1%)

Memory
12.6MiB live, 130.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(fma.f64 (+.f64 y y) x (+.f64 y y))
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(*.f64 (+.f64 y y) y)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(*.f64 (+.f64 y y) x)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y x))
Samples
29.0ms256×0valid
Compiler

Compiled 73 to 18 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 6.0ms (34.6% of total)
ival-mult: 6.0ms (34.6% of total)
ival-div: 4.0ms (23% of total)
ival-sub: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-12.4MiB live, 26.6MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (/ 1 (/ y x))>
#<alt (+ (* 1/2 (/ 1 (/ y x))) 1/2)>
#<alt (/ y x)>
#<alt (+ y y)>
#<alt (* (+ y y) x)>
#<alt (* (+ y y) y)>
#<alt (+ (* (+ y y) x) (+ y y))>
#<alt (+ (* (- 0 x) (+ y y)) (+ y y))>
#<alt (- 0 x)>
Outputs
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt (/ (+ (* 1/2 x) (* 1/2 y)) y)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (+ 1/2 (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* y (+ 2 (* 2 x)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* -1 (* y (- (* -2 x) 2)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (+ (* 2 y) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ y x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))>
#<alt (* 2 y)>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* -2 (* x y))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* -1 (* y (- (* 2 x) 2)))>
#<alt (* -1 (* y (- (* 2 x) 2)))>
#<alt (* -1 (* y (- (* 2 x) 2)))>
#<alt (* -1 (* y (- (* 2 x) 2)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(* (+ y y) x)
0.0ms
y
@0
(* (+ y y) y)
0.0ms
y
@-inf
(/ y x)
0.0ms
x
@0
(/ y x)
0.0ms
y
@inf
(* (+ y y) y)

rewrite125.0ms (2.1%)

Memory
33.0MiB live, 267.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 066×accelerator-lowering-fma.f32
1 066×accelerator-lowering-fma.f64
430×*-lowering-*.f32
430×*-lowering-*.f64
372×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
111530
0116729
Stop Event
iter limit
iter limit
node limit
Counts
9 → 974
Calls
Call 1
Inputs
(/ 1 (/ y x))
(+ (* 1/2 (/ 1 (/ y x))) 1/2)
(/ y x)
(+ y y)
(* (+ y y) x)
(* (+ y y) y)
(+ (* (+ y y) x) (+ y y))
(+ (* (- 0 x) (+ y y)) (+ y y))
(- 0 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 y x)
(/.f64 y (*.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(+.f64 y y)
(+.f64 y (+.f64 y (neg.f64 (+.f64 y y))))
(+.f64 y (fma.f64 y #s(literal 2 binary64) y))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 (+.f64 y y) (neg.f64 (+.f64 y y)))
(+.f64 (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(+.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))
(+.f64 (*.f64 y y) (*.f64 y y))
(+.f64 (neg.f64 (*.f64 x y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y)))
(+.f64 (+.f64 y (neg.f64 (+.f64 y y))) y)
(+.f64 (fma.f64 y #s(literal 2 binary64) y) y)
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y x))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (fma.f64 y #s(literal 2 binary64) (neg.f64 (*.f64 x y))) (neg.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(-.f64 (+.f64 y y) (+.f64 y y))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))) (/.f64 (+.f64 y y) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))))
(-.f64 (-.f64 (+.f64 y y) y) y)
(fma.f64 y y (*.f64 y y))
(fma.f64 y x (*.f64 y x))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 y (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 2 binary64) (neg.f64 (+.f64 y y)))
(fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))
(fma.f64 x y (*.f64 x y))
(fma.f64 x (+.f64 y y) (+.f64 y y))
(fma.f64 x (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 x (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) y (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(fma.f64 (+.f64 y y) x (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) x (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (neg.f64 (+.f64 y y)) (+.f64 y y))
(fma.f64 (+.f64 y y) (-.f64 #s(literal 0 binary64) x) (+.f64 y y))
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (neg.f64 (+.f64 y y)) (+.f64 y y) (+.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (+.f64 y y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (+.f64 y y))
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (neg.f64 (+.f64 y y)))
(fma.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (+.f64 y y))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y) (+.f64 y y))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))) (+.f64 y y))
(fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))) (neg.f64 (+.f64 y y)))
(fma.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x y)) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (neg.f64 (+.f64 y y)) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
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(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (neg.f64 (+.f64 y y)))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (neg.f64 (+.f64 y y)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (neg.f64 (+.f64 y y)) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (+.f64 y y))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (neg.f64 (+.f64 y y)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y))) (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)) (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))))
(/.f64 (+.f64 y y) (+.f64 y y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (+.f64 y y)) (neg.f64 (+.f64 y y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y))))
(/.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (fma.f64 y #s(literal 2 binary64) (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 y y)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y)))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))) (neg.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))) (neg.f64 (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) y) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y #s(literal 2 binary64) y) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (neg.f64 (+.f64 y y))) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (+.f64 y (neg.f64 (+.f64 y y))) (+.f64 y (neg.f64 (+.f64 y y))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y (neg.f64 (+.f64 y y))) y))))
(/.f64 (-.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) y)) (*.f64 y y)) (-.f64 (fma.f64 y #s(literal 2 binary64) y) y))
(/.f64 (-.f64 (+.f64 y y) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x))) (-.f64 (+.f64 y y) (neg.f64 (+.f64 y y))))
(/.f64 (-.f64 (*.f64 (+.f64 y (neg.f64 (+.f64 y y))) (+.f64 y (neg.f64 (+.f64 y y)))) (*.f64 y y)) (-.f64 (+.f64 y (neg.f64 (+.f64 y y))) y))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (*.f64 y (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (+.f64 y y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) x) (fma.f64 y y #s(literal 0 binary64)))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 x (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (+.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (+.f64 y y) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (fma.f64 (neg.f64 (+.f64 y y)) (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x) (+.f64 y y)) (neg.f64 (+.f64 y y)))))
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 y y))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 y y))
(*.f64 (-.f64 (*.f64 (neg.f64 (+.f64 y y)) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (+.f64 y y)) (+.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)))
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y y))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) y)
(*.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))

simplify477.0ms (8%)

Memory
-8.7MiB live, 437.4MiB allocated
Algorithm
egg-herbie
Rules
4 386×accelerator-lowering-fma.f32
4 386×accelerator-lowering-fma.f64
2 704×*-lowering-*.f32
2 704×*-lowering-*.f64
1 222×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057848
1163848
2361848
3673848
41630848
53597848
64920848
76678848
08129788
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/2 (/ x y))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
1/2
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(+ 1/2 (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* y (+ 2 (* 2 x)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* -1 (* y (- (* -2 x) 2)))
(* 2 y)
(+ (* 2 y) (* 2 (* x y)))
(+ (* 2 y) (* 2 (* x y)))
(+ (* 2 y) (* 2 (* x y)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* x (+ (* 2 y) (* 2 (/ y x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(* 2 y)
(+ (* -2 (* x y)) (* 2 y))
(+ (* -2 (* x y)) (* 2 y))
(+ (* -2 (* x y)) (* 2 y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* -2 (* x y))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* -1 (* y (- (* 2 x) 2)))
(* -1 (* y (- (* 2 x) 2)))
(* -1 (* y (- (* 2 x) 2)))
(* -1 (* y (- (* 2 x) 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow y 2))
(fma.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* 2 x)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (* x y)))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* 2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ y x)))))
(fma.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -2 (* x y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -2 (* x y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* 2 x) 2)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval301.0ms (5%)

Memory
16.3MiB live, 649.8MiB allocated
Compiler

Compiled 29 728 to 1 592 computations (94.6% saved)

prune239.0ms (4%)

Memory
-30.7MiB live, 496.5MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New2 10272 109
Fresh000
Picked235
Done044
Total2 104142 118
Accuracy
100.0%
Counts
2 118 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
3.1%
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
99.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
50.8%
(/.f64 x (+.f64 y y))
3.1%
(+.f64 y y)
4.5%
(*.f64 (+.f64 y y) (+.f64 x y))
3.5%
(*.f64 (+.f64 y y) y)
3.8%
(*.f64 (+.f64 y y) x)
2.5%
(*.f64 (*.f64 (+.f64 y y) y) y)
5.6%
(*.f64 (*.f64 (+.f64 y y) x) x)
3.8%
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
3.1%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 167 to 104 computations (37.7% saved)

simplify34.0ms (0.6%)

Memory
-0.3MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
cost-diff0
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff0
(+.f64 y y)
cost-diff384
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
cost-diff0
(+.f64 y y)
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 y y))
cost-diff0
(+.f64 y y)
cost-diff-64
(*.f64 (+.f64 y y) x)
cost-diff0
(+.f64 y y)
cost-diff0
(*.f64 (*.f64 (+.f64 y y) x) x)
Rules
370×accelerator-lowering-fma.f32
370×accelerator-lowering-fma.f64
202×*-lowering-*.f32
202×*-lowering-*.f64
118×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01458
14054
210454
316354
421354
528654
628854
735954
835954
035952
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (+ y y) x) x)
(* (+ y y) x)
(+ y y)
y
x
(+ y y)
y
(* 2 (+ y y))
2
(+ y y)
y
(+ (* 2 (+ y y)) (+ y y))
2
(+ y y)
y
(+ (* y (+ (* x -2) 2)) 0)
y
(+ (* x -2) 2)
x
-2
2
0
Outputs
(* (* (+ y y) x) x)
(fma.f64 y (*.f64 x (+.f64 x x)) #s(literal 0 binary64))
(* (+ y y) x)
(fma.f64 y (+.f64 x x) #s(literal 0 binary64))
(+ y y)
(+.f64 y y)
y
x
(+ y y)
(+.f64 y y)
y
(* 2 (+ y y))
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y
(+ (* 2 (+ y y)) (+ y y))
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ y y)
(+.f64 y y)
y
(+ (* y (+ (* x -2) 2)) 0)
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
y
(+ (* x -2) 2)
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
x
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)

localize53.0ms (0.9%)

Memory
14.2MiB live, 87.1MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
accuracy100.0%
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 y y))
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(+.f64 y y)
accuracy100.0%
(*.f64 (+.f64 y y) x)
accuracy99.8%
(*.f64 (*.f64 (+.f64 y y) x) x)
Samples
23.0ms256×0valid
Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.1% of total)
ival-add: 4.0ms (32.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-21.2MiB live, 17.0MiB allocated
Counts
7 → 120
Calls
Call 1
Inputs
#<alt (* (* (+ y y) x) x)>
#<alt (+ y y)>
#<alt (* (+ y y) x)>
#<alt (* 2 (+ y y))>
#<alt (+ (* 2 (+ y y)) (+ y y))>
#<alt (+ (* y (+ (* x -2) 2)) 0)>
#<alt (+ (* x -2) 2)>
Outputs
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 (* (pow x 2) y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 4 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* 6 y)>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* y (+ 2 (* -2 x)))>
#<alt (* 2 y)>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (+ (* -2 (* x y)) (* 2 y))>
#<alt (* -2 (* x y))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* x (+ (* -2 y) (* 2 (/ y x))))>
#<alt (* -2 (* x y))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt (* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (* (+ y y) x) x)
1.0ms
y
@0
(+ (* y (+ (* x -2) 2)) 0)
0.0ms
y
@inf
(* (* (+ y y) x) x)
0.0ms
y
@-inf
(+ (* y (+ (* x -2) 2)) 0)
0.0ms
x
@0
(* (* (+ y y) x) x)

rewrite530.0ms (8.9%)

Memory
-1.5MiB live, 560.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 072×accelerator-lowering-fma.f32
5 072×accelerator-lowering-fma.f64
3 872×*-lowering-*.f32
3 872×*-lowering-*.f64
1 574×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
18637
289115
3518915
0897814
Stop Event
iter limit
node limit
Counts
7 → 368
Calls
Call 1
Inputs
(* (* (+ y y) x) x)
(+ y y)
(* (+ y y) x)
(* 2 (+ y y))
(+ (* 2 (+ y y)) (+ y y))
(+ (* y (+ (* x -2) 2)) 0)
(+ (* x -2) 2)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(+.f64 y (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y))
(+.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y) y)
(+.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y) (-.f64 y #s(literal 0 binary64)))
(+.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) y)
(exp.f64 (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y)) y)
(fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 y (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 y (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (*.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 y (exp.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -2 binary64)) y #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (/.f64 y (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 1 binary64)) y))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -8 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 y x) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 y (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y #s(literal 0 binary64))
(fma.f64 (/.f64 y y) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) (/.f64 (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
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(*.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))) y)
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(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))
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(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))))
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(fma.f64 (exp.f64 (log.f64 #s(literal -2 binary64))) (exp.f64 (log.f64 x)) #s(literal 2 binary64))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -8 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -8 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) (fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)))
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 8 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -4 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -8 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64))))

simplify425.0ms (7.1%)

Memory
15.7MiB live, 300.7MiB allocated
Algorithm
egg-herbie
Rules
4 232×accelerator-lowering-fma.f32
4 232×accelerator-lowering-fma.f64
2 456×*-lowering-*.f32
2 456×*-lowering-*.f64
1 502×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037608
1100608
2215608
3452608
41285608
52892608
64135608
74964608
85296608
95442608
105514608
116267608
126795608
136872608
146904608
156934608
167000608
177012608
187048608
197176608
207176608
217272608
227448608
237942608
08261578
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 (* (pow x 2) y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* y (+ 2 (* -2 x)))
(* 2 y)
(+ (* -2 (* x y)) (* 2 y))
(+ (* -2 (* x y)) (* 2 y))
(+ (* -2 (* x y)) (* 2 y))
(* -2 (* x y))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* x (+ (* -2 y) (* 2 (/ y x))))
(* -2 (* x y))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
Outputs
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow x 2) y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 4 y)
(fma.f64 y #s(literal 4 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* 6 y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* y (+ 2 (* -2 x)))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* 2 y)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* -2 (* x y)) (* 2 y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -2 (* x y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (+ (* -2 y) (* 2 (/ y x))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -2 (* x y))
(fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -2 (/ y x)) (* 2 y))))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -2 x)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))

eval68.0ms (1.1%)

Memory
10.7MiB live, 163.6MiB allocated
Compiler

Compiled 10 227 to 761 computations (92.6% saved)

prune81.0ms (1.4%)

Memory
13.4MiB live, 128.1MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New5364540
Fresh022
Picked325
Done077
Total53915554
Accuracy
100.0%
Counts
554 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
99.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
50.8%
(/.f64 x (+.f64 y y))
3.1%
(+.f64 y y)
2.6%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
4.5%
(*.f64 (+.f64 y y) (+.f64 x y))
3.5%
(*.f64 (+.f64 y y) y)
3.8%
(*.f64 (+.f64 y y) x)
2.5%
(*.f64 (*.f64 (+.f64 y y) y) y)
5.6%
(*.f64 (*.f64 (+.f64 y y) x) x)
3.8%
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
3.7%
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
49.6%
#s(literal 1/2 binary64)
2.6%
#s(literal 0 binary64)
Compiler

Compiled 250 to 110 computations (56% saved)

regimes24.0ms (0.4%)

Memory
-1.2MiB live, 41.5MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 y y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) x) x)
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 y y) (-.f64 x y)))
Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
Calls

3 calls:

9.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes21.0ms (0.4%)

Memory
-32.1MiB live, 45.5MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 y y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) x) x)
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
Calls

3 calls:

7.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
6.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes20.0ms (0.3%)

Memory
5.5MiB live, 42.3MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 y y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) x) x)
(*.f64 (*.f64 (+.f64 y y) y) y)
(/.f64 x (+.f64 y y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y y) (+.f64 y y))
Outputs
(/.f64 x (+.f64 y y))
#s(literal 1/2 binary64)
(/.f64 x (+.f64 y y))
Calls

3 calls:

7.0ms
x
6.0ms
y
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
77.1%3x
76.3%3y
97.4%3(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes19.0ms (0.3%)

Memory
23.8MiB live, 65.8MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 y y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 (*.f64 (+.f64 y y) x) x)
(*.f64 (*.f64 (+.f64 y y) y) y)
Outputs
#s(literal 1/2 binary64)
(*.f64 (*.f64 (+.f64 y y) x) x)
Calls

3 calls:

8.0ms
y
5.0ms
x
5.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
49.6%1y
52.1%2x
51.9%2(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes11.0ms (0.2%)

Memory
3.5MiB live, 42.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(+.f64 y y)
(fma.f64 y #s(literal 6 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) x)
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 y (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 y y) x (+.f64 y y))
(*.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) y)
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) x)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
49.6%1(/.f64 (+.f64 x y) (+.f64 y y))
49.6%1x
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory
-24.5MiB live, 14.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
2.6%1x
2.6%1y
2.6%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.85510762157308
126013.30479763204
0.0ms
-18981.597235080706
0.4999999723000089
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
3.234190756840144e+198
5.679554128400371e+200
Samples
4.0ms112×0valid
Compiler

Compiled 110 to 80 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (50.9% of total)
ival-add: 1.0ms (50.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.2%)

Memory
-18.6MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64
if-if-or-not_binary32
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02154
12954
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y y) x) x))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 x y) (+.f64 y y))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) (/.f64 x (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 x (+.f64 y y))))
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y y) x) x))
(if (<=.f64 x #s(literal 559999999999999969453415822896564802852263746511616371192569991509925117333332885061168362628537596338394011539584028362253125264551933521108125185955237987194020653549387688380537621128469514375135232 binary64)) #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 y y))))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness674.0ms (11.3%)

Memory
6.9MiB live, 434.8MiB allocated
Rules
5 072×accelerator-lowering-fma.f32
5 072×accelerator-lowering-fma.f64
4 752×accelerator-lowering-fma.f32
4 752×accelerator-lowering-fma.f64
3 872×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
111530
0116729
034240
195240
2195240
3539240
42494240
54900240
66147240
77103240
87625240
08012222
01447
18637
289115
3518915
0897814
01452
19652
093351
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 133 to 68 computations (48.9% saved)

preprocess49.0ms (0.8%)

Memory
23.7MiB live, 143.9MiB allocated
Compiler

Compiled 156 to 64 computations (59% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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