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

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample838.0ms (12.5%)

Memory
-198.4MiB live, 1 399.3MiB allocated
Samples
394.0ms7 998×0valid
18.0ms97×2valid
12.0ms116×1valid
10.0ms45×3valid
Precisions
Click to see histograms. Total time spent on operations: 244.0ms
ival-div: 65.0ms (26.7% of total)
ival-sub: 57.0ms (23.4% of total)
ival-fabs: 50.0ms (20.5% of total)
ival-add: 49.0ms (20.1% of total)
adjust: 7.0ms (2.9% of total)
ival-true: 6.0ms (2.5% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 4.0ms (1.6% of total)
Bogosity

explain298.0ms (4.4%)

Memory
-1.7MiB live, 120.6MiB 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
132.0ms488×0valid
2.0ms10×2valid
1.0ms10×1valid
1.0ms3valid
Compiler

Compiled 84 to 32 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-fabs: 23.0ms (66.6% of total)
ival-div: 4.0ms (11.6% of total)
ival-add: 3.0ms (8.7% of total)
ival-sub: 3.0ms (8.7% of total)
adjust: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess40.0ms (0.6%)

Memory
15.9MiB live, 52.6MiB allocated
Algorithm
egg-herbie
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 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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 8 to 7 computations (12.5% saved)

simplify16.0ms (0.2%)

Memory
-25.6MiB live, 17.5MiB 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))
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)

localize20.0ms (0.3%)

Memory
28.4MiB live, 28.4MiB 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))
accuracy0.0703125
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
12.0ms244×0valid
1.0ms2valid
1.0ms1valid
0.0ms3valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (28% of total)
ival-div: 2.0ms (28% of total)
ival-add: 1.0ms (14% of total)
ival-fabs: 1.0ms (14% 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)

series11.0ms (0.2%)

Memory
-30.0MiB live, 9.2MiB 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 (+ 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 (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 (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (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 (+ 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 (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 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 (* 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 (+ 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 (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 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 (* 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 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 (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 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 (* 1/2 (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 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 (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 (* -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 (* 1/2 (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 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 (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 -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify216.0ms (3.2%)

Memory
32.8MiB live, 109.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043479
1115479
2264479
3775479
42401479
53216479
64243479
75084479
85657479
96145479
107847479
08326458
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)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y 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))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x 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 (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))))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 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)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y 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))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 x))))
(* 1/2 (fabs (+ y (* -1 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)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -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 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))
(+ 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)
(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))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* 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))
(+ 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)
(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))
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* 1/2 (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))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) 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))
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* 1/2 (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))
(+ 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)
(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))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* 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))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) 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))
(* -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)
(* 1/2 (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))
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) 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 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)

rewrite259.0ms (3.9%)

Memory
-25.8MiB live, 216.6MiB allocated
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
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eval57.0ms (0.9%)

Memory
12.3MiB live, 85.9MiB allocated
Compiler

Compiled 6 166 to 927 computations (85% saved)

prune33.0ms (0.5%)

Memory
-15.4MiB live, 29.6MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32010330
Fresh000
Picked101
Done000
Total32110331
Accuracy
100.0%
Counts
331 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) x)
99.3%
(fma.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)) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
51.7%
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
99.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
99.2%
(+.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)))
41.6%
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
99.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
52.1%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
Compiler

Compiled 306 to 206 computations (32.7% saved)

simplify135.0ms (2%)

Memory
28.6MiB live, 184.1MiB 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 x y)
cost-diff0
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
cost-diff0
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
cost-diff0
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff0
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #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)
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031189
052175
173175
294175
3169175
4446175
51349174
62753174
74552174
86862174
08022174
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 y x)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
#s(literal 1/2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal -1 binary64)
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
#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 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 y x)) #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 y x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
#s(literal 1 binary64)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(pow.f64 (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)) 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 x y)
x
y
#s(literal -1 binary64)
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
x
y
#s(literal 2 binary64)
#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 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)

localize120.0ms (1.8%)

Memory
7.9MiB live, 168.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.00390625
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64))
accuracy0.0703125
(+.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)))
accuracy0.53515625
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy0.0078125
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy0.0390625
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy14.914033601622886
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
accuracy29.653887946660493
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.06640625
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
accuracy0.0703125
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy0.234375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
accuracy0
(-.f64 y x)
accuracy0
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy0
(fabs.f64 (-.f64 y x))
accuracy30.45037395117893
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0.0703125
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Samples
68.0ms236×0valid
17.0ms1valid
7.0ms10×2valid
2.0ms3valid
1.0ms5exit
Compiler

Compiled 373 to 60 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-pow2: 19.0ms (29.5% of total)
ival-div: 12.0ms (18.6% of total)
ival-mult: 10.0ms (15.5% of total)
ival-add: 8.0ms (12.4% of total)
ival-pow: 4.0ms (6.2% of total)
ival-sub: 3.0ms (4.7% of total)
ival-fabs: 3.0ms (4.7% of total)
adjust: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory
-6.3MiB live, 71.2MiB allocated
Counts
18 → 432
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 y x)) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 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>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #<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 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<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>) () ())
Outputs
#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 (* 3/4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/4 (* 1/2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -2 (/ y x)))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x)))) (taylor -inf x) (#s(alt (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) (taylor -inf x) (#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 (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) (taylor -inf x) (#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 (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) (taylor -inf x) (#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 (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) (taylor -inf x) (#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 (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#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 (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#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 (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#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 (* (sqrt (fabs (neg (+ y (* -1 x))))) (sqrt 1/2)) (taylor -inf x) (#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 x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (* (fabs (neg (+ y (* -1 x)))) (pow (sqrt 1/2) 2)) x)) 1))) (taylor -inf x) (#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 (* 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 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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x))
6.0ms
y
@0
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x))
4.0ms
y
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x))
3.0ms
y
@-inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x))
3.0ms
x
@inf
((+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (pow (+ (* 1/2 (fabs (- x y))) x) -1) (+ (* 1/2 (fabs (- x y))) x) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (pow (- x y) 2) (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2) (pow (* 1/2 (fabs (- x y))) 1/2) (+ x (pow (pow (* 1/2 (fabs (- x y))) 1/2) 2)) (* 1/2 (fabs (- x y))) (+ (* -1/2 (fabs (- x y))) x))

simplify239.0ms (3.6%)

Memory
-12.7MiB live, 264.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04034241
112164126
231763987
083183726
Stop Event
iter limit
node limit
Counts
432 → 414
Calls
Call 1
Inputs
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ 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)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y 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))))
(/ 1 (+ x (* 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)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(/ (+ (* -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 x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(pow x 2)
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* (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 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))
(+ 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)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- x y)))
(* 1/2 (fabs (- 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 (* -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))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x 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))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ 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))))
(/ 1 (+ x (* 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)))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ x (* 1/2 (fabs (- x y))))
(+ 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))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(pow y 2)
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(+ x (* 1/2 (fabs (- x y))))
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(+ x (* 1/2 (fabs (- x y))))
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rewrite240.0ms (3.6%)

Memory
10.4MiB live, 294.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031145
052128
1221128
21391115
08885115
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 358
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 y x)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
(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)
Outputs
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eval447.0ms (6.7%)

Memory
36.0MiB live, 726.5MiB allocated
Compiler

Compiled 55 989 to 5 534 computations (90.1% saved)

prune251.0ms (3.7%)

Memory
-26.2MiB live, 215.2MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2 620152 635
Fresh505
Picked415
Done000
Total2 629162 645
Accuracy
100.0%
Counts
2 645 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
51.6%
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
51.7%
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
53.3%
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
51.7%
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
87.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
57.1%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
25.7%
(/.f64 (fma.f64 #s(approx (pow (- x y) 2) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
51.7%
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64)))
56.4%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
38.9%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y)))
11.4%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
99.7%
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
54.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
7.4%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 391 to 268 computations (31.5% saved)

simplify114.0ms (1.7%)

Memory
23.1MiB live, 133.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
cost-diff1984
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 #s(literal -2 binary64) (-.f64 y x))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
cost-diff-128
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 #s(literal 3/4 binary64) x)
cost-diff0
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
cost-diff0
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
cost-diff1024
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039153
056136
187132
2136123
3268123
4679123
52329123
65274123
08320121
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64) x)
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (-.f64 y x))
#s(literal -2 binary64)
(-.f64 y x)
y
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
#s(literal 1/2 binary64)
(-.f64 x y)
x
y
Outputs
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
x
(*.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 (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (-.f64 y x))
#s(literal -2 binary64)
(-.f64 y x)
y
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
#s(literal 1/2 binary64)
(-.f64 x y)
x
y

localize155.0ms (2.3%)

Memory
-8.3MiB live, 141.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
accuracy0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
accuracy0.17578125
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
accuracy0
(-.f64 y x)
accuracy0.0078125
(/.f64 #s(literal -2 binary64) (-.f64 y x))
accuracy0.06640625
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
accuracy0.125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
accuracy0
(-.f64 y x)
accuracy0.06640625
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy0
(*.f64 #s(literal 3/4 binary64) x)
accuracy29.39032923991445
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
accuracy0.06640625
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
accuracy0.078125
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
Samples
83.0ms118×0valid
35.0ms123×0invalid
5.0ms2valid
3.0ms1valid
2.0ms3valid
1.0ms5exit
Compiler

Compiled 263 to 63 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-add: 51.0ms (45.3% of total)
ival-div: 23.0ms (20.4% of total)
ival-mult: 21.0ms (18.7% of total)
ival-pow: 4.0ms (3.6% of total)
ival-sub: 3.0ms (2.7% of total)
ival-fabs: 3.0ms (2.7% of total)
ival-pow2: 3.0ms (2.7% of total)
adjust: 2.0ms (1.8% of total)
ival-sqrt: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
-37.6MiB live, 45.8MiB allocated
Counts
15 → 336
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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())
#s(alt (fabs.f64 (-.f64 y x)) (patch (fabs.f64 (-.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
Outputs
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#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 x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) (patch #s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x) (patch (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) 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>) () ())) ())
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#s(alt (* -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))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -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))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) (patch #s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 3/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 3/4 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3/4 binary64) x) (patch (*.f64 #s(literal 3/4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) (patch (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -2 (/ y x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 y x)) (patch (/.f64 #s(literal -2 binary64) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (pow (sqrt -1/2) 2) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) (patch (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y))
3.0ms
x
@-inf
((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y))
2.0ms
x
@inf
((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y))
2.0ms
y
@-inf
((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y))
2.0ms
x
@0
((* (/ 1/2 x) x) (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (+ (* (fabs (- y x)) (* (/ 1/2 x) x)) x) (fabs (- y x)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (- y x) (+ (* (- y x) -1/2) x) (/ 1 (/ -2 (- y x))) (+ x (/ 1 (/ -2 (- y x)))) (/ -2 (- y x)) (+ (* (sqrt (* 1/2 (- x y))) (sqrt (* 1/2 (- x y)))) x) (sqrt (* 1/2 (- x y))) (* 1/2 (- x y)) (- x y))

simplify182.0ms (2.7%)

Memory
13.3MiB live, 200.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05733844
117933697
255153670
083283416
Stop Event
iter limit
node limit
Counts
336 → 326
Calls
Call 1
Inputs
(+ 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 (- y x))))
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(* (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))))))))
y
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(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
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(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(* -1 (* y (pow (sqrt 1/2) 2)))
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(* y (+ (* -1 (pow (sqrt 1/2) 2)) (+ (/ x y) (/ (* x (pow (sqrt 1/2) 2)) y))))
(* y (+ (* -1 (pow (sqrt 1/2) 2)) (+ (/ x y) (/ (* x (pow (sqrt 1/2) 2)) y))))
(* (sqrt y) (* (sqrt -1) (sqrt 1/2)))
(* y (+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))
(* y (+ (* -1/8 (* (/ (* (pow x 2) (sqrt 1/2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))
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(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
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(* (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)))))))))
y
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
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(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
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(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) y))
(* -1 (* y (pow (sqrt 1/2) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2))))
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2))))
(* -1 (* y (+ (* -1 (/ (+ x (* x (pow (sqrt 1/2) 2))) y)) (pow (sqrt 1/2) 2))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt 1/2))))
(* -1 (* y (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2)))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (* (sqrt -1) (sqrt 1/2))) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt 1/2))))))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
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))))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* 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)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* -1 (* y (pow (sqrt 1/2) 2)))
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2))))
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2))))
(+ (* -1 (* y (pow (sqrt 1/2) 2))) (* x (+ 1 (pow (sqrt 1/2) 2))))
(* (sqrt y) (* (sqrt -1) (sqrt 1/2)))
(+ (* 1/2 (* (/ (* x (sqrt 1/2)) (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2))))
(+ (* x (+ (* -1/8 (* (/ (* x (sqrt 1/2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ (sqrt 1/2) (sqrt -1)))))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2))))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ (sqrt 1/2) (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ (sqrt 1/2) (pow (sqrt -1) 3)))) (* 1/16 (* (/ (* x (sqrt 1/2)) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (* (sqrt -1) (sqrt 1/2))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1 y)
(- x y)
(- x y)
(- x y)
1/2
1/2
1/2
1/2
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
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* 3/4 x)
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(* 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)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* -1 x)
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(* 3/2 x)
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(* x (+ 3/2 (* -1/2 (/ y x))))
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(* 1/2 x)
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(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(* x (+ 1 (pow (sqrt 1/2) 2)))
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2))))
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2))))
(* x (+ 1 (+ (* -1 (/ (* y (pow (sqrt 1/2) 2)) x)) (pow (sqrt 1/2) 2))))
(* (sqrt x) (sqrt 1/2))
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt 1/2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
1/2
1/2
1/2
1/2
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 (* 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)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 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)))
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* 3/4 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(* -1 (* x (- (pow (sqrt -1/2) 2) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (pow (sqrt -1/2) 2)) x)) (pow (sqrt -1/2) 2)) 1)))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(+ x (* 1/2 (fabs (- x y))))
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(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (* (sqrt -1) (sqrt -1/2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (* (sqrt -1) (sqrt -1/2))))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) 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)

rewrite158.0ms (2.4%)

Memory
17.2MiB live, 242.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039129
056120
1241118
2174894
0920392
Stop Event
iter limit
node limit
iter limit
Counts
15 → 602
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/2 binary64) x) x)
#s(approx (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
(fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x)
(fabs.f64 (-.f64 y x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
(-.f64 y x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))))
(/.f64 #s(literal -2 binary64) (-.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(-.f64 x y)
Outputs
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eval258.0ms (3.9%)

Memory
41.2MiB live, 308.7MiB allocated
Compiler

Compiled 25 780 to 2 631 computations (89.8% saved)

prune49.0ms (0.7%)

Memory
-23.7MiB live, 94.4MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 28241 286
Fresh6410
Picked325
Done011
Total1 291111 302
Accuracy
100.0%
Counts
1 302 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
87.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
57.1%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
35.2%
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
11.4%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
56.6%
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
31.4%
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
26.9%
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
54.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
7.4%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 123 to 124 computations (-0.8% saved)

simplify226.0ms (3.4%)

Memory
33.3MiB live, 140.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff0
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff0
#s(approx (- y x) (neg.f64 x))
cost-diff0
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff0
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
cost-diff0
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
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)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032169
046169
167169
285169
3129167
4212151
5333151
6601151
71918151
84398151
96235151
106877151
117264151
127319151
137373151
147831151
08062151
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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)
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
#s(literal 1/2 binary64)
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
Outputs
(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 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (-.f64 x y))) 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)
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
y
x
#s(literal -1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
#s(literal 1/2 binary64)
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
#s(literal 3/2 binary64)
x
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y

localize82.0ms (1.2%)

Memory
-14.7MiB live, 219.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy0
(neg.f64 x)
accuracy0
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy30.655162585378385
#s(approx (- y x) (neg.f64 x))
accuracy30.658078656661495
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy0
(-.f64 y x)
accuracy0
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
accuracy28.940965654600614
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy32.73652323929923
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
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))
accuracy0.0703125
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
accuracy8.058663083282951
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
Samples
50.0ms239×0valid
7.0ms1valid
4.0ms2valid
1.0ms3valid
Compiler

Compiled 231 to 51 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 14.0ms (33.2% of total)
ival-mult: 10.0ms (23.7% of total)
ival-fabs: 6.0ms (14.2% of total)
ival-sub: 4.0ms (9.5% of total)
ival-div: 4.0ms (9.5% of total)
adjust: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
8.7MiB live, 46.5MiB allocated
Counts
16 → 360
Calls
Call 1
Inputs
#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 #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#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 (+ x (* -1 y)) (taylor 0 y) (#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 (+ x (* -1 y)) (taylor 0 y) (#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 (+ x (* -1 y)) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (+ x (* 1/2 (fabs (- x y)))) (taylor 0 y) (#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 (- x y)) (taylor 0 y) (#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 (fabs (- x y)) (taylor 0 y) (#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 (fabs (- x y)) (taylor 0 y) (#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 (fabs (- x y)) (taylor 0 y) (#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 x (taylor 0 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 (+ x (* -1 y)) (taylor 0 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 (+ x (* -1 y)) (taylor 0 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 (+ x (* -1 y)) (taylor 0 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 (+ x (* 1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 y) (* 1/2 x))) (taylor 0 y) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) (patch #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 y) (* 1/2 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (patch (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #<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 (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/2 (fabs (- y x)))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (fabs (- y x))) (taylor 0 y) (#s(alt (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) (patch (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (fabs (- y x)) (taylor 0 y) (#s(alt (fabs.f64 #s(approx (- y x) (neg.f64 x))) (patch (fabs.f64 #s(approx (- y x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) (patch #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 3/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) (patch (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x))
1.0ms
y
@inf
((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x))
1.0ms
y
@0
((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x))
1.0ms
x
@inf
((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x))
1.0ms
x
@-inf
((* (- (/ x y) 1) y) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ (* (- y x) -1/2) x) (* -1/2 y) (+ x (/ (fabs (- y x)) 2)) (* (- y x) -1/2) (- y x) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- y x)) 1/2) (fabs (- y x)) (- y x) (+ (* (- y x) -1/2) x) (+ (* 3/2 x) (* -1/2 y)) (neg x))

simplify201.0ms (3%)

Memory
-15.8MiB live, 99.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061860
12951752
27381752
324581716
453951716
569741716
679891716
080151599
Stop Event
iter limit
node limit
Counts
360 → 342
Calls
Call 1
Inputs
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 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))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1 x)
(- y x)
(- y x)
(- 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))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(- y x)
(- y x)
(- y x)
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 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))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ 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)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ 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 (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(fabs (+ x (* -1 y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ 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 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(+ 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 (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)))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
(fabs (neg (+ x (* -1 y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ 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))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ 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))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
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))))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
(fabs (- x y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
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))))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(* 1/2 (fabs (- y x)))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(fabs (- y x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
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)))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
(fabs (neg (+ y (* -1 x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
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)))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y 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)))
(* 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 (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(fabs (+ y (* -1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) 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))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y 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)
(* 1/2 (fabs (- y x)))
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(* x (- (/ y x) 1))
(-.f64 y x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) 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))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* -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)
x
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* 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 (* -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 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)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite194.0ms (2.9%)

Memory
-3.2MiB live, 153.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032143
046143
1161143
21157143
08782139
Stop Event
iter limit
node limit
iter limit
Counts
16 → 220
Calls
Call 1
Inputs
(*.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))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(-.f64 y x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(neg.f64 x)
Outputs
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eval86.0ms (1.3%)

Memory
-6.3MiB live, 114.3MiB allocated
Compiler

Compiled 7 615 to 924 computations (87.9% saved)

prune39.0ms (0.6%)

Memory
-15.0MiB live, 58.7MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5751576
Fresh033
Picked145
Done123
Total57710587
Accuracy
100.0%
Counts
587 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
99.9%
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
87.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))) #s(literal 1/2 binary64) x)
57.1%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
35.2%
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
56.6%
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
31.4%
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
26.9%
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
7.4%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
31.1%
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 444 to 195 computations (56.1% saved)

regimes28.0ms (0.4%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(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 (/ 1 (pow (+ (* 1/2 (fabs (- x y))) x) -1)) (fma.f64 (fabs.f64 (-.f64 y x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) 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) (-.f64 y x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(/.f64 (fma.f64 #s(approx (pow (- x y) 2) (*.f64 x x)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (-.f64 x y))) (sqrt.f64 #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))) x)
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 y x)) x)))) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(+.f64 x (/.f64 (fabs.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) #s(literal -1/2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))) #s(literal 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)))
(fma.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)) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (fabs.f64 (+.f64 x y)) #s(literal -1 binary64)) x)
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Calls

3 calls:

9.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
9.0ms
x
9.0ms
y
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 10 to 11 computations (-10% saved)

regimes37.0ms (0.6%)

Memory
-9.5MiB live, 27.2MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

4.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
84.5%3x
73.3%2y
79.2%3(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
84.5%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-40.1MiB live, 6.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
83.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
Calls

2 calls:

3.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
77.0%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
76.7%2x
Compiler

Compiled 9 to 9 computations (0% saved)

regimes9.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -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 (-.f64 y x) #s(literal -1/2 binary64)))
(+.f64 x #s(approx (/ 1 (/ -2 (- y x))) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

3.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
57.2%2y
70.6%2x
54.8%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory
-29.6MiB live, 7.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
63.0%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
51.0%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
49.4%2y
43.4%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 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
31.1%1x
31.1%1y
31.1%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch32.0ms (0.5%)

Memory
-11.8MiB live, 61.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.657245275733975e-41
8.967279592796015e-33
14.0ms
-2.252094898645498e-37
-1.0115949103818498e-41
Samples
18.0ms268×0valid
0.0ms1valid
Compiler

Compiled 241 to 276 computations (-14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (31.9% of total)
ival-sub: 4.0ms (31.9% of total)
ival-div: 2.0ms (16% of total)
ival-fabs: 1.0ms (8% 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)

bsearch2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.657245275733975e-41
8.967279592796015e-33
1.0ms
-2.252094898645498e-37
-1.0115949103818498e-41
Compiler

Compiled 232 to 258 computations (-11.2% saved)

bsearch44.0ms (0.7%)

Memory
0.7MiB live, 53.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
3.1213718022281487e-212
1.0440168179495745e-211
10.0ms
-2.252094898645498e-37
-1.0115949103818498e-41
Samples
17.0ms192×0valid
Compiler

Compiled 180 to 202 computations (-12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.1% of total)
ival-div: 1.0ms (21.1% of total)
ival-add: 1.0ms (21.1% of total)
ival-fabs: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.791711790894904e-225
2.2683183964190434e-216
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch17.0ms (0.3%)

Memory
-9.5MiB live, 26.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.327729198324621e-223
1.3744861204829659e-220
Samples
10.0ms127×0valid
0.0ms1valid
Compiler

Compiled 91 to 116 computations (-27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 5.0ms (64.1% of total)
ival-div: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
ival-fabs: 1.0ms (12.8% 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)

bsearch20.0ms (0.3%)

Memory
9.5MiB live, 43.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.327729198324621e-223
1.3744861204829659e-220
18.0ms
-5.768084110032975e-73
-8.218113120538578e-84
Samples
7.0ms160×0valid
Compiler

Compiled 165 to 238 computations (-44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25.9% of total)
ival-div: 1.0ms (25.9% of total)
ival-add: 1.0ms (25.9% of total)
ival-fabs: 1.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.791711790894904e-225
2.2683183964190434e-216
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify32.0ms (0.5%)

Memory
2.8MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063304
177304
283304
386304
487304
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -5856478431961647/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 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)
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- y x) -1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -6129982163463555/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 2550072580000839/49039857307708443467467104868809893875799651909875269632 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -5394384303847929/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) (if (<=.f64 x #s(literal 4737909217226285/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal 107310050539825/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 y x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
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(if (<=.f64 (+.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)) x) #s(literal 4167509020549909/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- y x) -1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- y x) -1/2) (*.f64 #s(literal 1/2 binary64) x)))

soundness1.3s (19%)

Memory
-12.0MiB live, 848.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043479
1115479
2264479
3775479
42401479
53216479
64243479
75084479
85657479
96145479
107847479
08326458
05733844
117933697
255153670
083283416
031145
052128
1221128
21391115
08885115
01061860
12951752
27381752
324581716
453951716
569741716
679891716
080151599
0721
01121
15121
238021
3534521
0835020
04034241
112164126
231763987
083183726
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 580 to 399 computations (31.2% saved)

preprocess93.0ms (1.4%)

Memory
-14.3MiB live, 105.8MiB allocated
Compiler

Compiled 358 to 122 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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