Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
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 10 to 9 computations (10% saved)

sample1.2s (14.3%)

Memory
16.5MiB live, 883.0MiB allocated
Samples
789.0ms7 941×0valid
13.0ms103×2valid
13.0ms143×1valid
12.0ms69×3valid
Precisions
Click to see histograms. Total time spent on operations: 404.0ms
ival-sub: 176.0ms (43.6% of total)
ival-add: 72.0ms (17.8% of total)
ival-fabs: 69.0ms (17.1% of total)
ival-div: 64.0ms (15.9% of total)
adjust: 9.0ms (2.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain80.0ms (1%)

Memory
3.4MiB live, 163.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
00-0-(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
00-0-(-.f64 y x)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(fabs.f64 (-.f64 y x))
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
31.0ms498×0valid
2.0ms10×2valid
0.0ms1valid
Compiler

Compiled 62 to 25 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 9.0ms (46.6% of total)
ival-div: 4.0ms (20.7% of total)
ival-fabs: 3.0ms (15.5% of total)
ival-add: 2.0ms (10.4% 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)

preprocess41.0ms (0.5%)

Memory
16.1MiB live, 54.4MiB allocated
Algorithm
egg-herbie
Rules
96×lower-fma.f64
96×lower-fma.f32
56×lower-*.f64
56×lower-*.f32
47×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
14640
212740
324840
435240
541940
646340
750140
851340
951840
1052140
1152340
078
0118
1168
2238
3318
4508
5978
61558
71848
82298
92658
103018
113138
123198
133228
143248
03247
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify33.0ms (0.4%)

Memory
-18.6MiB live, 19.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff128
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
cost-diff384
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
Rules
96×lower-fma.f64
96×lower-fma.f32
56×lower-*.f64
56×lower-*.f32
32×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
11624
22324
33124
45024
59724
615524
718424
822924
926524
1030124
1131324
1231924
1332224
1432424
032423
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
#s(literal 2 binary64)
Outputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
x
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
#s(literal 2 binary64)

localize21.0ms (0.3%)

Memory
35.3MiB live, 35.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0.0546875
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
12.0ms249×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (30.8% of total)
ival-sub: 2.0ms (30.8% of total)
ival-add: 1.0ms (15.4% of total)
ival-fabs: 1.0ms (15.4% 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)

series15.0ms (0.2%)

Memory
-44.2MiB live, 12.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ x (* -1 y))))) (taylor -inf y) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (+ y (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) (patch (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- y x)) x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (neg (+ x (* -1 y)))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ x (* -1 y)))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ y (* -1 x))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y 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 y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y 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 (* -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

24 calls:

TimeVariablePointExpression
9.0ms
y
@0
(/ (fabs (- y x)) 2)
0.0ms
x
@inf
(+ x (/ (fabs (- y x)) 2))
0.0ms
y
@-inf
(/ (fabs (- y x)) 2)
0.0ms
y
@inf
(/ (fabs (- y x)) 2)
0.0ms
x
@-inf
(/ (fabs (- y x)) 2)

simplify144.0ms (1.8%)

Memory
17.5MiB live, 176.3MiB allocated
Algorithm
egg-herbie
Rules
1 566×lower-/.f32
1 566×lower-/.f64
1 260×lower-fma.f64
1 260×lower-fma.f32
1 111×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043479
1115479
2264479
3775479
42426479
53227479
64255479
75098479
85671479
96159479
107875479
08354458
Stop Event
iter limit
node limit
Counts
96 → 91
Calls
Call 1
Inputs
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
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)
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)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -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)
(* -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)

rewrite228.0ms (2.8%)

Memory
9.2MiB live, 204.1MiB allocated
Rules
2 453×lower-fma.f64
2 453×lower-fma.f32
2 202×lower-*.f64
2 202×lower-*.f32
1 103×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01121
15121
238021
3534521
0835020
Stop Event
iter limit
node limit
iter limit
Counts
4 → 239
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 x y)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) x)) (*.f64 (+.f64 x y) x)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y)))) (*.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))) (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 y (/.f64 y (+.f64 x y))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))) (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 x y) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 x y)) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 x y))
(/.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 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (*.f64 (+.f64 x y) x) (*.f64 (+.f64 x y) x)) (*.f64 (+.f64 x y) x)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) y) y)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y)))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 x y) x (*.f64 y y))))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval94.0ms (1.2%)

Memory
9.7MiB live, 86.5MiB allocated
Compiler

Compiled 7 708 to 909 computations (88.2% saved)

prune85.0ms (1%)

Memory
-39.1MiB live, 81.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3228330
Fresh000
Picked101
Done000
Total3238331
Accuracy
100.0%
Counts
331 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
47.6%
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
99.4%
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
65.2%
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64)))
99.8%
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
47.5%
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
53.0%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
Compiler

Compiled 284 to 166 computations (41.5% saved)

simplify175.0ms (2.2%)

Memory
-13.7MiB live, 134.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff128
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
cost-diff7104
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (-.f64 x y) (-.f64 x y))
cost-diff0
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x))
cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
cost-diff448
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (-.f64 x y))
cost-diff0
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Rules
5 889×lower-fma.f32
5 884×lower-fma.f64
1 603×lower-*.f32
1 597×lower-*.f64
801×lower--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032235
054221
188221
2142221
3388221
41276220
54397220
08333220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x))
(*.f64 (-.f64 x y) (-.f64 x y))
(-.f64 x y)
x
y
#s(literal -1/4 binary64)
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x))
#s(literal 1/4 binary64)
(*.f64 (-.f64 x y) (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x))
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 (-.f64 y x) (-.f64 y x))
(-.f64 x y)
x
y
#s(literal -1/4 binary64)
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 y x)) (-.f64 x y) (*.f64 x x)))
#s(literal 1/4 binary64)
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 (-.f64 y x) (-.f64 y x))
(-.f64 x y)
x
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y
#s(literal 2 binary64)

localize180.0ms (2.2%)

Memory
12.2MiB live, 173.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.01171875
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy0.0546875
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy0.5
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy0.0390625
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
accuracy0.109375
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
accuracy16.60144897066134
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x))
accuracy32.36001225562556
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
accuracy0.0078125
(*.f64 (-.f64 x y) (-.f64 x y))
accuracy0.0390625
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy14.519502351622888
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x))
accuracy32.30141850562556
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy0
(-.f64 x y)
accuracy0
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy30.098924731691373
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.0546875
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Samples
62.0ms228×0valid
32.0ms13×2valid
5.0ms10×1valid
4.0ms3valid
Compiler

Compiled 240 to 36 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 38.0ms (55.3% of total)
ival-add: 9.0ms (13.1% of total)
ival-div: 6.0ms (8.7% of total)
adjust: 3.0ms (4.4% of total)
ival-pow2: 3.0ms (4.4% of total)
ival-fabs: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
ival-sqrt: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory
4.4MiB live, 42.4MiB allocated
Counts
17 → 408
Calls
Call 1
Inputs
#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (patch (/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x y) (-.f64 x y)) (patch (*.f64 (-.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (patch (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (fabs (- x y))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (neg (+ y (* -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (fabs (+ x (* -1 y)))) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (- x y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (+ x (* -1 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (+ x (* -1 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (+ x (* -1 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (fabs (+ x (* -1 y))))) (taylor -inf y) (#s(alt (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (patch (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ (fabs (- x y)) x)) 1)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (- x y))) x) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (fabs (+ x (* -1 y)))) x) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (patch (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)
2.0ms
y
@inf
(/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x))
1.0ms
x
@inf
(/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x))
1.0ms
x
@0
(/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x))
1.0ms
y
@-inf
(/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x))

simplify234.0ms (2.9%)

Memory
-3.7MiB live, 183.1MiB allocated
Algorithm
egg-herbie
Rules
4 761×lower-fma.f64
4 761×lower-fma.f32
2 796×lower-*.f64
2 796×lower-*.f32
1 823×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05085130
115474981
240524847
083264525
Stop Event
iter limit
node limit
Counts
408 → 397
Calls
Call 1
Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
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(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))
(* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (- x y))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (sqrt (fabs (+ x (* -1 y)))) (sqrt 1/2))
(* (fabs (- x y)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
x
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- x y)) (pow (sqrt 1/2) 2)) x)))
x
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- x y)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (+ x (* -1 y))) (pow (sqrt 1/2) 2)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
x
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
x
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (- x y))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(* 1/2 (fabs (- x y)))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(* -1 x)
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (- x y))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
Outputs
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
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(+ x (* -1/2 (fabs (- x y))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* -1/2 (fabs (- x y))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) x)
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (- x y))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))

rewrite453.0ms (5.6%)

Memory
-9.8MiB live, 389.8MiB allocated
Rules
3 874×lower-fma.f32
3 869×lower-fma.f64
2 259×lower-/.f32
2 257×lower-/.f64
2 208×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032172
054136
1239136
21797136
09529136
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 551
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x))
(*.f64 (-.f64 x y) (-.f64 x y))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 y x))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (sqrt.f64 #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 (fabs.f64 (-.f64 y x)))) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 y x))) (neg.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) #s(literal 1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 x x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 y x) (-.f64 y x)) (fma.f64 x x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x))) #s(literal -1 binary64))))
(+.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))) (neg.f64 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)))))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))

eval545.0ms (6.7%)

Memory
36.5MiB live, 649.0MiB allocated
Compiler

Compiled 78 837 to 4 556 computations (94.2% saved)

prune468.0ms (5.8%)

Memory
3.2MiB live, 723.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2 707112 718
Fresh303
Picked415
Done000
Total2 714122 726
Accuracy
100.0%
Counts
2 726 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x)
99.4%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
89.2%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
58.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
48.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
27.9%
(/.f64 #s(approx (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
27.9%
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
23.3%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
11.3%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
99.8%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
49.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
Compiler

Compiled 343 to 194 computations (43.4% saved)

simplify160.0ms (2%)

Memory
15.3MiB live, 215.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x)))
cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
cost-diff192
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
cost-diff0
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
cost-diff1024
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 #s(literal 3/4 binary64) x)
cost-diff0
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
cost-diff0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
cost-diff1024
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Rules
4 393×lower-fma.f32
4 389×lower-fma.f64
1 330×lower-*.f32
1 325×lower-*.f64
963×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049256
074268
1122264
2197235
3448232
41486223
53900223
67069223
08177220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
#s(literal 3/4 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
#s(literal -3/4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
(neg.f64 x)
Outputs
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
#s(literal 3/4 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (-.f64 x y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
(fabs.f64 #s(approx (- x y) (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- x y) (-.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x)))
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y
(neg.f64 x)

localize200.0ms (2.5%)

Memory
-43.1MiB live, 144.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
accuracy0.125
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
accuracy28.769781784040887
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x)))
accuracy32.36001225562556
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
accuracy0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy0
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy0.0546875
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
accuracy6.864366844740262
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.0546875
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy32.140704582495296
#s(approx (- x y) (neg.f64 y))
accuracy0
(*.f64 #s(literal 3/4 binary64) x)
accuracy56.79078773712928
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
accuracy0.0546875
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
accuracy0.109375
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Samples
110.0ms228×0valid
9.0ms13×2valid
5.0ms10×1valid
4.0ms3valid
Compiler

Compiled 203 to 40 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 81.0ms (75.2% of total)
ival-div: 8.0ms (7.4% of total)
ival-add: 8.0ms (7.4% of total)
adjust: 3.0ms (2.8% of total)
ival-sub: 3.0ms (2.8% of total)
ival-fabs: 2.0ms (1.9% of total)
ival-neg: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-1.1MiB live, 33.8MiB allocated
Counts
18 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (patch (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (patch #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) (patch (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (patch #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- x y))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ (fabs (- x y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -3/4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -3/4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -3/4 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* 3/4 x)
0.0ms
x
@-inf
(* (- 1 (/ y x)) x)
0.0ms
x
@0
(* (- 1 (/ y x)) x)
0.0ms
x
@inf
(* (- 1 (/ y x)) x)
0.0ms
y
@inf
(* (- 1 (/ y x)) x)

simplify253.0ms (3.1%)

Memory
33.4MiB live, 302.8MiB allocated
Algorithm
egg-herbie
Rules
5 432×lower-fma.f64
5 432×lower-fma.f32
2 392×lower-*.f64
2 392×lower-*.f32
2 112×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03844275
111534107
232773911
084843653
Stop Event
iter limit
node limit
Counts
384 → 367
Calls
Call 1
Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
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(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
(* -3/4 (pow x 2))
Outputs
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
1/2
#s(literal 1/2 binary64)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (fabs.f64 (-.f64 x y))) #s(literal 2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 x y)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (fabs.f64 (-.f64 x y))) #s(literal -2 binary64) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 x y)))) (/.f64 x (fabs.f64 (-.f64 x y))) (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) (neg.f64 (fabs.f64 (-.f64 x y))))) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 x y)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)))) x (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (-.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 3/4 binary64))) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (/.f64 (fabs.f64 (-.f64 x y)) (*.f64 (*.f64 x x) x)) (/.f64 y x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 y y))) (*.f64 x x))) (-.f64 (*.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal -3/8 binary64) x)) #s(literal 3/4 binary64))) x)
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (fma.f64 y #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64)))) (fabs.f64 (-.f64 x y)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) x))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (fma.f64 y #s(literal 1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 x y)) (*.f64 y #s(literal 1/2 binary64))))))) x))) x) #s(literal 3/4 binary64)) x)
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(*.f64 (fma.f64 (/.f64 x (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
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(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -3/4 binary64))) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -3/4 binary64)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(*.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (*.f64 y #s(literal 1/2 binary64))) x)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(*.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -1/4 binary64) (*.f64 y #s(literal 1/2 binary64))) x)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 1/4 (pow x 2)))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(+ (* -1 (pow x 2)) (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))))
(*.f64 (fma.f64 #s(literal -3/4 binary64) x (*.f64 #s(literal -1/2 binary64) y)) x)
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal -1/2 binary64) x)) y (*.f64 (*.f64 #s(literal -3/4 binary64) x) x))
(+ (* -1 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y (*.f64 #s(literal -1/2 binary64) x)) y (*.f64 (*.f64 #s(literal -3/4 binary64) x) x))
(* 1/4 (pow y 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -3/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) y) y)
(* (pow y 2) (+ 1/4 (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -3/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) y) y)
(* 1/4 (pow y 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 y y))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 y y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal 1/2 binary64))) y)) (*.f64 y y))
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(* -3/4 (pow x 2))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)

rewrite249.0ms (3.1%)

Memory
-15.4MiB live, 424.8MiB allocated
Rules
3 598×lower-fma.f32
3 594×lower-fma.f64
2 066×lower-*.f32
2 061×lower-*.f64
2 029×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049205
074197
1271195
21914182
08771180
Stop Event
iter limit
node limit
iter limit
Counts
18 → 228
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 x y))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
Outputs
#s(literal 1/2 binary64)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) (neg.f64 (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))) (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 y x)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 x (-.f64 x (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (fabs.f64 (-.f64 y x)) x) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (neg.f64 x)))
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(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))))
(/.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 x x) x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x y)) (-.f64 x y) (*.f64 (neg.f64 x) x))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64))))
#s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 (*.f64 x x) #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -3/4 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -3/4 binary64))
(*.f64 #s(literal -3/4 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -3/4 binary64) x))

eval98.0ms (1.2%)

Memory
-4.6MiB live, 189.9MiB allocated
Compiler

Compiled 12 451 to 928 computations (92.5% saved)

prune64.0ms (0.8%)

Memory
35.8MiB live, 153.6MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6392641
Fresh156
Picked145
Done011
Total64112653
Accuracy
100.0%
Counts
653 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x)
99.4%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
87.4%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
89.2%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
58.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
48.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
23.3%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
11.3%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
61.9%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
99.8%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
49.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
Compiler

Compiled 286 to 155 computations (45.8% saved)

simplify173.0ms (2.1%)

Memory
-31.1MiB live, 185.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
cost-diff0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
cost-diff1024
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
cost-diff0
(*.f64 x (fabs.f64 (-.f64 y x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
cost-diff1024
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y)
cost-diff0
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
cost-diff0
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
cost-diff2240
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
Rules
4 273×lower-fma.f32
4 270×lower-fma.f64
2 053×lower-*.f32
2 047×lower-*.f64
931×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048251
073236
1113236
2162236
3279233
4742221
51903221
64746221
08141214
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Outputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
x
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 y y) #s(literal 1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (fabs.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (-.f64 x y)) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (-.f64 x y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(fabs.f64 #s(approx (- x y) (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (- x y) (-.f64 x y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 x y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
#s(literal 1 binary64)
#s(literal 1/2 binary64)

localize177.0ms (2.2%)

Memory
21.2MiB live, 173.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
accuracy0
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
accuracy0.0546875
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy7.822427283342728
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
accuracy0.0078125
(*.f64 x (fabs.f64 (-.f64 y x)))
accuracy24.407826338733155
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy21.14753334475249
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
accuracy31.845409233044574
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
accuracy0
(neg.f64 y)
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy30.098924731691373
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
accuracy32.140704582495296
#s(approx (- x y) (neg.f64 y))
accuracy0
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0.01171875
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
accuracy0.3984375
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
Samples
120.0ms235×0valid
9.0ms12×2valid
4.0ms3valid
2.0ms1valid
Compiler

Compiled 190 to 39 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-add: 63.0ms (54.7% of total)
ival-mult: 23.0ms (20% of total)
ival-div: 9.0ms (7.8% of total)
ival-neg: 7.0ms (6.1% of total)
ival-sub: 4.0ms (3.5% of total)
ival-fabs: 3.0ms (2.6% of total)
ival-sqrt: 2.0ms (1.7% of total)
adjust: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-2.6MiB live, 69.2MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (patch (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (neg.f64 y))) (patch (fabs.f64 #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) (patch #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (patch (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) (patch #s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 x (fabs.f64 (-.f64 y x))) (patch (*.f64 x (fabs.f64 (-.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) (patch (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) (patch (fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) (patch (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2))) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* (fabs (- y x)) (pow (sqrt 1/2) 2)) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2))) (taylor 0 x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x))) (taylor inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (- y x))) (sqrt 1/2)) (taylor inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) (taylor -inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) (taylor -inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) (taylor -inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2)) (taylor -inf y) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) (patch #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (fabs (- x y)) (taylor inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (neg (+ y (* -1 x)))) (taylor -inf x) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor 0 y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (- x y)) (taylor inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (fabs (+ x (* -1 y))) (taylor -inf y) (#s(alt (fabs.f64 (-.f64 x y)) (patch (fabs.f64 (-.f64 x y)) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* x (fabs (- y x)))
4.0ms
x
@inf
(+ (* (sqrt (* 1/2 (fabs (- y x)))) (sqrt (* 1/2 (fabs (- y x))))) x)
1.0ms
x
@0
(/ (* (* y 1/2) y) (fabs (- x y)))
1.0ms
y
@-inf
(/ (* (* y 1/2) y) (fabs (- x y)))
1.0ms
y
@0
(/ (* (* y 1/2) y) (fabs (- x y)))

simplify219.0ms (2.7%)

Memory
10.6MiB live, 282.1MiB allocated
Algorithm
egg-herbie
Rules
4 932×lower-fma.f64
4 932×lower-fma.f32
2 249×lower-*.f64
2 249×lower-*.f32
1 368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02554223
17543674
219173578
369863577
081693406
Stop Event
iter limit
node limit
Counts
480 → 461
Calls
Call 1
Inputs
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
x
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
x
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(* 1/2 (fabs (+ x (* -1 y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
(* 1/2 (/ (pow y 2) (fabs (+ x (* -1 y)))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(* 1/2 (/ (pow y 2) (fabs (neg (+ y (* -1 x))))))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 (pow y 2))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (+ y (* -1 x))))
(* x (fabs (+ y (* -1 x))))
(* x (fabs (+ y (* -1 x))))
(* x (fabs (+ y (* -1 x))))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (- y x)))
(* x (fabs (neg (+ x (* -1 y)))))
(* x (fabs (neg (+ x (* -1 y)))))
(* x (fabs (neg (+ x (* -1 y)))))
(* x (fabs (neg (+ x (* -1 y)))))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
Outputs
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (neg (+ x (* -1 y)))) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* (fabs (- y x)) (pow (sqrt 1/2) 2))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* (fabs (- y x)) (pow (sqrt 1/2) 2)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (/ (* (fabs (- y x)) (pow (sqrt 1/2) 2)) x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
x
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1 (/ (* (fabs (+ y (* -1 x))) (pow (sqrt 1/2) 2)) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (neg (+ x (* -1 y))))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (- y x))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sqrt (fabs (+ y (* -1 x)))) (sqrt 1/2))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 y x))) (sqrt.f64 #s(literal 1/2 binary64)))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(* 1/2 (fabs (+ y (* -1 x))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 (-.f64 y x)) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- y x))))
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(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))

rewrite327.0ms (4%)

Memory
-2.9MiB live, 346.8MiB allocated
Rules
2 474×lower-fma.f32
2 471×lower-fma.f64
2 299×lower-*.f32
2 293×lower-*.f64
2 137×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048215
073202
1273202
21786199
09251192
Stop Event
iter limit
node limit
iter limit
Counts
22 → 538
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) y)
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 x (fabs.f64 (-.f64 y x)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(neg.f64 y)
(fabs.f64 (-.f64 x y))
Outputs
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))))))))
(*.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
(pow.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (-.f64 x y) (-.f64 x y)) (fabs.f64 (-.f64 x y))) (*.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (/.f64 x #s(literal 2 binary64)) x)
(fma.f64 (/.f64 x x) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) x) x)
(fma.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) x)
(fma.f64 (fabs.f64 (neg.f64 (fabs.f64 (-.f64 x y)))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (sqrt.f64 #s(literal 1/2 binary64))) (fabs.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))) x)
(fma.f64 (fabs.f64 (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal -1/2 binary64))) (sqrt.f64 (fabs.f64 (-.f64 x y))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fabs.f64 (-.f64 x y)))) (sqrt.f64 #s(literal -1/2 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)))) x)
(fma.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))))) x)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) x)
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(*.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (sqrt.f64 (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x y)))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (fabs.f64 (+.f64 x y))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fabs.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (neg.f64 (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (-.f64 x (neg.f64 y))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (-.f64 y (neg.f64 x))))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y))))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))))
(sqrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
(fabs.f64 (-.f64 (-.f64 x y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64)))
(fabs.f64 (-.f64 y (+.f64 x #s(literal 0 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(fabs.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x y)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (neg.f64 (neg.f64 (-.f64 y x))))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64)))

eval451.0ms (5.6%)

Memory
-221.2MiB live, 424.1MiB allocated
Compiler

Compiled 24 746 to 1 757 computations (92.9% saved)

prune304.0ms (3.7%)

Memory
-15.1MiB live, 383.1MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1 33131 334
Fresh112
Picked145
Done055
Total1 333131 346
Accuracy
100.0%
Counts
1 346 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (/.f64 x #s(literal 2 binary64)) x)
68.4%
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) x)
99.4%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
87.4%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
89.2%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
58.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
48.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
50.2%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (*.f64 y #s(literal 1/2 binary64))))
11.3%
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
61.9%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
99.8%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
49.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
Compiler

Compiled 534 to 203 computations (62% saved)

regimes42.0ms (0.5%)

Memory
-4.1MiB live, 35.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (*.f64 y #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (fabs.f64 (-.f64 x y))))
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (fabs.f64 (-.f64 y x))) x))
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(/.f64 #s(approx (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) x) (/.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(approx (+ (* 1/4 (* (- x y) (- x y))) (* (neg x) x)) (*.f64 #s(literal -3/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x y)) (-.f64 x y))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 (fma.f64 (*.f64 (-.f64 x y) (-.f64 x y)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) x)
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x y) (-.f64 x y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))))
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))))) x)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))) x)
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Calls

3 calls:

25.0ms
y
8.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Outputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
58.0%1x
58.0%1y
58.0%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
53.0%1y
53.0%1x
57.6%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes33.0ms (0.4%)

Memory
-33.4MiB live, 7.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
Calls

3 calls:

30.0ms
y
2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
54.3%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
Outputs
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
11.3%1x
11.3%1y
11.3%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.6259837067356567e-237
1.011844926893908e-268
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.6259837067356567e-237
1.011844926893908e-268
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041150
153150
259150
362150
463150
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal -3665779701564795/916444925391198758541401085877594831703095653509460880942126390473954048171292933099049096506388108013739504295007991042380699544226348054414240833330066547856411977855334787272537640367327320839841280263415847919229777715415602675691481187407177449472 binary64)) #s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (* (- x y) (- x y)) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))

soundness1.1s (14.1%)

Memory
-19.1MiB live, 266.9MiB allocated
Rules
4 761×lower-fma.f64
4 761×lower-fma.f32
2 796×lower-*.f64
2 796×lower-*.f32
2 453×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043479
1115479
2264479
3775479
42426479
53227479
64255479
75098479
85671479
96159479
107875479
08354458
0721
01121
15121
238021
3534521
0835020
05085130
115474981
240524847
083264525
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 127 to 66 computations (48% saved)

preprocess117.0ms (1.4%)

Memory
17.4MiB live, 133.8MiB allocated
Compiler

Compiled 148 to 54 computations (63.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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