Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample758.0ms (24.3%)

Memory
12.4MiB live, 888.6MiB allocated
Samples
412.0ms7 627×0valid
72.0ms131×3valid
26.0ms224×2valid
20.0ms274×1valid
Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-div: 73.0ms (34.2% of total)
ival-add: 58.0ms (27.1% of total)
ival-sub: 54.0ms (25.3% of total)
adjust: 16.0ms (7.5% of total)
ival-true: 5.0ms (2.3% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain100.0ms (3.2%)

Memory
-7.4MiB live, 119.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (-.f64 x y) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
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
19.0ms468×0valid
16.0ms8×3valid
2.0ms22×1valid
2.0ms14×2valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 18.0ms (69.8% of total)
ival-sub: 3.0ms (11.6% of total)
ival-add: 3.0ms (11.6% of total)
adjust: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess55.0ms (1.8%)

Memory
10.2MiB live, 85.6MiB allocated
Algorithm
1×egg-herbie
Rules
560×lower-fma.f64
560×lower-fma.f32
208×lower-*.f64
208×lower-*.f32
164×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14535
213935
337335
464735
580735
684635
067
097
1157
2267
3477
4867
51577
62787
74367
85437
96047
106087
06086
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify23.0ms (0.7%)

Memory
4.5MiB live, 41.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff128
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
cost-diff384
(/.f64 (-.f64 x y) #s(literal 2 binary64))
Rules
560×lower-fma.f64
560×lower-fma.f32
208×lower-*.f64
208×lower-*.f32
128×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
22618
34718
48618
515718
627818
743618
854318
960418
1060818
060817
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)

localize54.0ms (1.7%)

Memory
-5.5MiB live, 36.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy0
(-.f64 x y)
accuracy0.08984375
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Samples
43.0ms234×0valid
5.0ms7×2valid
1.0ms11×1valid
1.0ms4×3valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.7% of total)
ival-sub: 2.0ms (35.7% of total)
adjust: 1.0ms (17.9% of total)
ival-add: 1.0ms (17.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())
Outputs
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify189.0ms (6.1%)

Memory
20.5MiB live, 211.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 504×lower-fma.f64
7 504×lower-fma.f32
2 794×lower-*.f64
2 794×lower-*.f32
1 232×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058387
1176351
2487351
31345315
42959315
54565315
66536315
77586315
08072297
Stop Event
1×iter limit
1×node limit
Counts
72 → 69
Calls
Call 1
Inputs
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 y)
(neg.f64 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)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
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)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
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)

rewrite318.0ms (10.2%)

Memory
-1.7MiB live, 198.7MiB allocated
Rules
4 050×lower-fma.f64
4 050×lower-fma.f32
3 870×lower-*.f64
3 870×lower-*.f32
2 640×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14815
240015
3508015
0818314
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 353
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (fma.f64 y x (hypot.f64 y x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x (hypot.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1/2 binary64)) (+.f64 y x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1/2 binary64))) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) y))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) #s(literal 2 binary64)))
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(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (fma.f64 y x (hypot.f64 y x)) (*.f64 (-.f64 x y) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y x (hypot.f64 y x)) (/.f64 (-.f64 x y) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (hypot.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))) (hypot.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 y x) (hypot.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (hypot.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (neg.f64 y))

eval51.0ms (1.7%)

Memory
-0.9MiB live, 88.9MiB allocated
Compiler

Compiled 7 254 to 1 129 computations (84.4% saved)

prune43.0ms (1.4%)

Memory
-7.3MiB live, 29.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4175422
Fresh000
Picked101
Done000
Total4185423
Accuracy
100.0%
Counts
423 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶58.1%
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
▶100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
▶49.4%
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
▶51.7%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Compiler

Compiled 54 to 56 computations (-3.7% saved)

simplify50.0ms (1.6%)

Memory
-9.2MiB live, 28.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
cost-diff0
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
cost-diff0
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
cost-diff128
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
Rules
624×lower-fma.f32
620×lower-fma.f64
240×lower-*.f32
236×lower-*.f64
152×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01897
02597
13997
25797
39897
417797
533494
666394
779694
882194
984194
1084894
1185094
085094
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
#s(literal 3/2 binary64)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
x
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
#s(literal 3/2 binary64)
x
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
y
#s(literal -1/2 binary64)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
y
#s(literal -1/2 binary64)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
x
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
y
#s(literal -1/2 binary64)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)

localize49.0ms (1.6%)

Memory
-1.6MiB live, 78.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y x)
accuracy0.08984375
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy0
(*.f64 y #s(literal -1/2 binary64))
accuracy0.08984375
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
accuracy32.29724786357739
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
accuracy0
(*.f64 y #s(literal -1/2 binary64))
accuracy32.358127164151526
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
accuracy0
(*.f64 #s(literal 3/2 binary64) x)
accuracy30.92038150146215
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
accuracy0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
accuracy0
(*.f64 y #s(literal -1/2 binary64))
accuracy0
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
Samples
31.0ms234×0valid
2.0ms11×1valid
2.0ms7×2valid
2.0ms4×3valid
Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 8.0ms (42.4% of total)
ival-mult: 5.0ms (26.5% of total)
ival-sub: 3.0ms (15.9% of total)
ival-div: 2.0ms (10.6% of total)
adjust: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
10 → 216
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())
#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())
Outputs
#s(alt (* 3/2 x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 3/2 x)) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ x (* 1/2 x)) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 3/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 3/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 3/2 (/ x y)) 1/2)) (taylor inf y) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -1/2 binary64)) (patch (*.f64 y #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2)) (taylor inf y) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor inf y) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 3/2 (* -1/2 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) (patch #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/2 binary64) x) (patch (*.f64 #s(literal 3/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) (patch (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) (patch #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms
x
@inf
((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms
y
@0
((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms
y
@-inf
((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))
1.0ms
x
@-inf
((+ (* 3/2 x) (* y -1/2)) (+ x (/ (- x y) 2)) (* y -1/2) (+ x (/ (- x y) 2)) (* 3/2 x) (+ x (/ (- x y) 2)) (+ x (/ (- x y) 2)) (/ (- x y) 2) (+ (* (- y x) -1/2) x) (- y x))

simplify177.0ms (5.7%)

Memory
10.5MiB live, 164.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 242×lower-fma.f64
8 242×lower-fma.f32
2 614×lower-*.f64
2 614×lower-*.f32
1 406×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0661143
11991143
25471143
315411107
433881107
547001107
665831107
777921107
08020999
Stop Event
1×iter limit
1×node limit
Counts
216 → 213
Calls
Call 1
Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ x (* 1/2 x))
(*.f64 x #s(literal 3/2 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite296.0ms (9.5%)

Memory
-27.6MiB live, 295.9MiB allocated
Rules
10 640×lower-fma.f32
10 636×lower-fma.f64
5 272×lower-*.f32
5 268×lower-*.f64
3 748×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01877
02577
111277
292474
0949674
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 290
Calls
Call 1
Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 y #s(literal -1/2 binary64))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
Outputs
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 #s(literal -9/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)))))
(*.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (pow.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(*.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)) (pow.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y))))
(*.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 #s(literal -9/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))))) (neg.f64 (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 #s(literal -9/4 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y)))) (fma.f64 #s(literal -3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (fma.f64 (*.f64 #s(literal 9/4 binary64) x) x (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 #s(literal -9/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))) (*.f64 (*.f64 x #s(literal -3/4 binary64)) y)) (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))))
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(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 y x (hypot.f64 y x)))) x)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 x #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 1/2 binary64) x x))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(-.f64 (+.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (+.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) x x))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (fma.f64 y x (hypot.f64 y x)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 y x) (*.f64 y (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y x (hypot.f64 y x)) (fma.f64 y x (hypot.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (neg.f64 x) y))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (+.f64 y x)))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y (neg.f64 x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (hypot.f64 x y) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(neg.f64 (-.f64 x y))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y x (hypot.f64 y x)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (neg.f64 x) (neg.f64 y))
(-.f64 y x)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (+.f64 y x))) (/.f64 (*.f64 y y) (+.f64 y x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(+.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x)))))
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval69.0ms (2.2%)

Memory
32.4MiB live, 183.7MiB allocated
Compiler

Compiled 7 580 to 890 computations (88.3% saved)

prune18.0ms (0.6%)

Memory
-1.3MiB live, 73.0MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New5470547
Fresh000
Picked055
Done000
Total5475552
Accuracy
100.0%
Counts
552 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓58.1%
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
✓100.0%
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
✓49.4%
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
✓51.7%
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Compiler

Compiled 61 to 46 computations (24.6% saved)

regimes10.0ms (0.3%)

Memory
-11.7MiB live, 26.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
Calls

3 calls:

4.0ms
y
3.0ms
x
3.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Outputs
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes36.0ms (1.2%)

Memory
-32.5MiB live, 12.8MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

32.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
80.1%3x
78.6%3y
61.9%3(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
77.0%3y
78.6%3x
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.7%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
51.7%1y
51.7%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch44.0ms (1.4%)

Memory
7.6MiB live, 45.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.0835104191660044e+67
1.2484954082512177e+76
8.0ms
-2.299425372919812e-76
-3.2147368025980686e-78
Samples
9.0ms241×0valid
1.0ms8×2valid
0.0ms6×1valid
0.0ms1×3valid
Compiler

Compiled 170 to 219 computations (-28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.3% of total)
ival-sub: 1.0ms (19.2% of total)
ival-add: 1.0ms (19.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory
-16.1MiB live, 20.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.675423666217618e-37
4.3891168465111595e-36
1.0ms
-2.299425372919812e-76
-3.2147368025980686e-78
Samples
7.0ms110×0valid
0.0ms1×2valid
0.0ms1×1valid
Compiler

Compiled 122 to 179 computations (-46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (48.4% of total)
ival-sub: 1.0ms (48.4% of total)
adjust: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify67.0ms (2.1%)

Memory
-21.5MiB live, 110.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative-binary64-*.f64
6×+-commutative-binary64-+.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×neg-sub0-binary64--.f64-neg.f64
2×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028113
133113
238113
340113
441113
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 3800000000000000275619458249811093479401822756656783430969198590820352 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 7901930132589739/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 3800000000000000275619458249811093479401822756656783430969198590820352 binary64)) (+.f64 x #s(approx (/ (- x y) 2) (*.f64 y #s(literal -1/2 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 3800000000000000275619458249811093479401822756656783430969198590820352 binary64)) (+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 7901930132589739/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 y #s(literal -1/2 binary64))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 7901930132589739/5986310706507378352962293074805895248510699696029696 binary64)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

soundness607.0ms (19.5%)

Memory
12.5MiB live, 288.7MiB allocated
Rules
7 504×lower-fma.f64
7 504×lower-fma.f32
4 050×lower-fma.f64
4 050×lower-fma.f32
3 870×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14815
240015
3508015
0818314
058387
1176351
2487351
31345315
42959315
54565315
66536315
77586315
08072297
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 95 to 60 computations (36.8% saved)

preprocess62.0ms (2%)

Memory
13.3MiB live, 90.0MiB allocated
Compiler

Compiled 146 to 74 computations (49.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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