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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.5s (24.1%)

Memory
44.8MiB live, 1 189.1MiB allocated
Samples
691.0ms7 935×0valid
38.0ms63×3valid
24.0ms162×1valid
13.0ms96×2valid
Precisions
Click to see histograms. Total time spent on operations: 327.0ms
ival-div: 93.0ms (28.4% of total)
ival-add: 84.0ms (25.7% of total)
ival-fabs: 76.0ms (23.2% of total)
ival-sub: 52.0ms (15.9% of total)
adjust: 9.0ms (2.7% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain82.0ms (1.3%)

Memory
-20.7MiB live, 111.2MiB 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
25.0ms496×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 3.0ms (22.9% of total)
ival-sub: 3.0ms (22.9% of total)
ival-fabs: 3.0ms (22.9% of total)
ival-add: 2.0ms (15.3% 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)

preprocess45.0ms (0.7%)

Memory
2.5MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
14640
212740
325240
436340
544240
648640
752840
854140
954640
1054940
1155140
078
0118
1168
2238
3318
4508
5978
61578
71948
82428
92798
103208
113328
123388
133418
143438
03437
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify19.0ms (0.3%)

Memory
-19.6MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff0
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
cost-diff1
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
11624
22324
33124
45024
59724
615724
719424
824224
927924
1032024
1133224
1233824
1334124
1434324
034323
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)

localize19.0ms (0.3%)

Memory
31.9MiB live, 31.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy0.0
(-.f64 y x)
accuracy0.0
(fabs.f64 (-.f64 y x))
accuracy0.04296875
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Samples
12.0ms248×0valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.8% of total)
ival-sub: 2.0ms (29.8% of total)
ival-add: 1.0ms (14.9% of total)
ival-fabs: 1.0ms (14.9% 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)

series9.0ms (0.1%)

Memory
-31.6MiB live, 5.8MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

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

simplify126.0ms (2%)

Memory
35.7MiB live, 116.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04384
111584
226484
377284
4239584
5327284
6430584
7516384
8573884
9622684
10791584
0800580
Stop Event
iter limit
node limit
Counts
19 → 17
Calls
Call 1
Inputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Outputs
(* 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)
(fabs (- y x))
(fabs.f64 (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y 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))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- y x)
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite173.0ms (2.8%)

Memory
-12.0MiB live, 175.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01121
15121
238021
3535121
0839820
Stop Event
iter limit
node limit
iter limit
Counts
4 → 239
Calls
Call 1
Inputs
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fabs.f64 (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 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 1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (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 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 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 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 x y)) x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval45.0ms (0.7%)

Memory
-3.6MiB live, 85.6MiB allocated
Compiler

Compiled 5 455 to 933 computations (82.9% saved)

prune11.0ms (0.2%)

Memory
-12.1MiB live, 26.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2378245
Fresh000
Picked101
Done000
Total2388246
Accuracy
100.0%
Counts
246 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(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 y x)) #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)
54.4%
(/.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))
56.1%
(+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 y x))))
48.6%
(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
99.7%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
55.1%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
Compiler

Compiled 232 to 164 computations (29.3% saved)

simplify137.0ms (2.2%)

Memory
17.6MiB live, 180.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
cost-diff0
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
cost-diff2
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
cost-diff11
(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 y x)) #s(literal -1 binary64)) x)
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
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
cost-diff1
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
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
037217
066199
194197
2125197
3216197
4568197
51630196
63319196
75473196
08173196
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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
#s(literal 2 binary64)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
y
(/.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))
(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 y x)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
#s(literal 2 binary64)
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(neg.f64 x)
x
(*.f64 y y)
y
#s(literal -1 binary64)
(pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64))
(fabs.f64 (+.f64 y x))
(+.f64 y x)
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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 y x)))
#s(literal 2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y
(/.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))
(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 y x)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
#s(literal 2 binary64)
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(neg.f64 x)
x
(*.f64 y y)
y
#s(literal -1 binary64)
(pow.f64 (fabs.f64 (+.f64 y x)) #s(literal -1 binary64))
(fabs.f64 (+.f64 y x))
(+.f64 y x)

localize106.0ms (1.7%)

Memory
-9.8MiB live, 231.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.529448634951869
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
accuracy0.6501201716165742
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
accuracy1.999977980844482
(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy28.154388303153254
(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 y x)) #s(literal -1 binary64)) x)
accuracy0.015625
(pow.f64 (-.f64 x y) #s(literal 2 binary64))
accuracy0.0625
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy11.210923050811443
(fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 x x))
accuracy28.14876151417814
(/.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))
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.02734375
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
accuracy0.04296875
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
accuracy0.17578125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
accuracy0.0
(-.f64 y x)
accuracy0.0
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
accuracy0.0
(fabs.f64 (-.f64 y x))
accuracy28.723915539957606
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
accuracy0.0
(-.f64 x y)
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.04296875
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Samples
60.0ms227×0valid
8.0ms15×1valid
7.0ms2valid
5.0ms3valid
Compiler

Compiled 223 to 41 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 15.0ms (25.5% of total)
ival-add: 10.0ms (17% of total)
ival-div: 9.0ms (15.3% of total)
ival-pow: 7.0ms (11.9% of total)
ival-fabs: 6.0ms (10.2% of total)
adjust: 4.0ms (6.8% of total)
ival-pow2: 4.0ms (6.8% of total)
ival-sub: 3.0ms (5.1% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
1.4MiB live, 40.8MiB allocated
Counts
19 → 104
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) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(/.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))
(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 y x)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 (neg.f64 x) x (*.f64 y y))
Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
(/ 2 (fabs (- x y)))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ 2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
(+ (* -1 (pow x 2)) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(/ 2 (fabs (- (pow y 2) (pow x 2))))
(fabs (- (pow y 2) (pow x 2)))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -1 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)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* -1 y))
(- y x)
(/ (+ (* -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)) (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)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* y (- (/ x y) 1))
(* y (+ 1 (* -1 (/ 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) (- (* 1/2 (/ 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 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (+ x (* -1 y))))
(/ 2 (fabs (+ x (* -1 y))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
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 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (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 (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
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 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (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 (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
5.0ms
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 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (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 (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
5.0ms
x
@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 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (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 (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))
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 (/ 2 (fabs (- x y)))) (+ x (/ 1 (/ 2 (fabs (- x y))))) (/ 2 (fabs (- x y))) (/ (+ (* (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 (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (/ 2 (fabs (+ (* (neg x) x) (* y y)))) (fabs (+ (* (neg x) x) (* y y))) (+ (* -1/2 (fabs (- x y))) x) (+ (* (neg x) x) (* y y)))

simplify150.0ms (2.4%)

Memory
22.8MiB live, 176.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03531621
110491556
228151471
084331376
Stop Event
iter limit
node limit
Counts
104 → 102
Calls
Call 1
Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(fabs (- y x))
y
(+ y (* -1 x))
(/ 2 (fabs (- x y)))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (+ x y)))))
(* 1/2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(/ 2 (fabs (+ (* -1 (pow x 2)) (pow y 2))))
(fabs (+ (* -1 (pow x 2)) (pow y 2)))
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
(+ (* -1 (pow x 2)) (pow y 2))
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (* 1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (+ x y)))))))
(* 1/2 (fabs (- (pow y 2) (pow x 2))))
(/ 2 (fabs (- (pow y 2) (pow x 2))))
(fabs (- (pow y 2) (pow x 2)))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(/ 2 (fabs (neg (+ y (* -1 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)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* -1 (* x (- (* -1/2 (/ (fabs (- (pow y 2) (pow x 2))) (* x (fabs (- y (* -1 x)))))) 1)))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(+ x (* -1 y))
(- y x)
(/ (+ (* -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)) (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)))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(* y (- (/ x y) 1))
(* y (+ 1 (* -1 (/ 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) (- (* 1/2 (/ 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 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 (fabs (+ x (* -1 y))))
(/ 2 (fabs (+ x (* -1 y))))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Outputs
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- y x))
(fabs.f64 (-.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
(/ 2 (fabs (- x y)))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 x y))) (+.f64 (/.f64 y (fabs.f64 (-.f64 x y))) #s(literal -1 binary64))) x (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 x 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)))))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) (/.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)) y)) y)) (*.f64 y y))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (*.f64 x (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) x)) y)) (*.f64 y y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 x y))) y)) (*.f64 y y))
(+ x (* 1/2 (/ (fabs (+ (* -1 (pow x 2)) (pow y 2))) (fabs (- x (* -1 y))))))
(fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)

rewrite203.0ms (3.3%)

Memory
-5.2MiB live, 226.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037163
066154
1254150
21731141
09304141
Stop Event
iter limit
node limit
iter limit
Counts
19 → 862
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) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))
(/.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))
(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 y x)) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))))
(fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 (neg.f64 x) x (*.f64 y y))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) x)
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1/2 binary64)) x)
(fma.f64 (neg.f64 (-.f64 x y)) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 x y)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y))
(*.f64 (fabs.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x y))) (fabs.f64 (sqrt.f64 (-.f64 x y))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 x y))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)
(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(+.f64 x (*.f64 (neg.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(+.f64 x (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (-.f64 y x))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y))))
(-.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(+.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))

eval247.0ms (4%)

Memory
-193.3MiB live, 183.2MiB allocated
Compiler

Compiled 23 363 to 3 041 computations (87% saved)

prune22.0ms (0.3%)

Memory
9.7MiB live, 56.0MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New86312875
Fresh213
Picked415
Done000
Total86914883
Accuracy
100.0%
Counts
883 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.0%
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #s(literal 1/2 binary64) x)
55.2%
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
50.5%
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.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)
85.6%
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
60.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
27.5%
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
48.6%
(+.f64 x (/.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
55.2%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
11.1%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
56.0%
#s(approx (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
85.5%
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
54.2%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
7.0%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 441 to 318 computations (27.9% saved)

simplify124.0ms (2%)

Memory
25.1MiB live, 134.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
cost-diff0
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
cost-diff4
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 x y)
cost-diff0
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) 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
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
cost-diff0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
cost-diff0
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
cost-diff4
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039219
061231
189231
2131231
3255231
4741197
51927197
64098197
77706197
08294191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
#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 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
x
#s(literal 3/4 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)
y
Outputs
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (-.f64 x y))) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
(fabs.f64 #s(approx (- x y) (-.f64 x y)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- x y) (-.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(-.f64 x y)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (-.f64 x y) x)
#s(literal 1 binary64)
(/.f64 y x)
y
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 x y) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (fabs (- x y)) 1/2) x) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
x
#s(literal 3/4 binary64)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
y

localize103.0ms (1.7%)

Memory
-9.0MiB live, 152.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
accuracy0.15625
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
accuracy28.14876151417814
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
accuracy31.059386229337036
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
accuracy0.0
(fabs.f64 (-.f64 x y))
accuracy0.0
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
accuracy0.1171875
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
accuracy9.224176676160372
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
accuracy0.0
(-.f64 x y)
accuracy0.09765625
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
accuracy0.0
(*.f64 #s(literal 3/4 binary64) x)
accuracy56.92525714754258
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
accuracy0.0
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
accuracy0.0
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
accuracy0.04296875
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
accuracy9.183162609819934
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
Samples
43.0ms227×0valid
18.0ms15×1valid
6.0ms2valid
4.0ms3valid
Compiler

Compiled 176 to 31 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 24.0ms (48.7% of total)
ival-add: 8.0ms (16.2% of total)
ival-div: 7.0ms (14.2% of total)
ival-pow2: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
adjust: 2.0ms (4.1% of total)
ival-fabs: 2.0ms (4.1% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.9%)

Memory
-30.7MiB live, 20.3MiB allocated
Counts
17 → 71
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#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)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fabs.f64 (-.f64 x y))
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Outputs
(* -1 y)
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(- x y)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(* 3/4 (pow x 2))
(pow x 2)
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(/ (+ (* -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)))))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (* -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)))
(* y (- (/ x y) 1))
(* -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))))))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* (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))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
y
@inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x))
3.0ms
x
@-inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x))
2.0ms
x
@inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x))
2.0ms
y
@-inf
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x))
2.0ms
x
@0
((* (- 1 (/ y x)) x) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (* 3/4 x) (+ (* (- x y) 1/2) x) (- x y) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) 1/2) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (+ (* (pow (- x y) 2) -1/4) (* x x)) (* (* x x) 3/4) (* x x) (+ (* -1/2 (fabs (- x y))) x))

simplify213.0ms (3.4%)

Memory
34.7MiB live, 142.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781291
18441221
224611146
082581061
Stop Event
iter limit
node limit
Counts
71 → 70
Calls
Call 1
Inputs
(* -1 y)
(+ x (* -1 y))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(- x y)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(* 3/4 (pow x 2))
(pow x 2)
(* -1/2 (fabs (- x y)))
(+ x (* -1/2 (fabs (- x y))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(/ (+ (* -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)))))))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (* -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)))
(* y (- (/ x y) 1))
(* -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))))))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* (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))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (+ x (* -1 y))))))) y)) (* -1/2 (/ x (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) y)) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
Outputs
(* -1 y)
(neg.f64 y)
(+ x (* -1 y))
(-.f64 x y)
(* 1/2 (fabs (- x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(- x y)
(-.f64 x y)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (fabs.f64 (-.f64 y x)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) x))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) (fabs.f64 (-.f64 y x))) #s(literal 2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))) x))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (fabs.f64 (-.f64 y x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 y (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 3/2 binary64) (fabs.f64 (-.f64 y x)))) (/.f64 (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64))) (neg.f64 (fabs.f64 (-.f64 y x))))) #s(literal -2 binary64) (/.f64 #s(literal -3/2 binary64) (fabs.f64 (-.f64 y x)))) x (*.f64 (/.f64 y (fabs.f64 (-.f64 y x))) (+.f64 (/.f64 y (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))) x))
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x) x)
(* -1/4 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/4 binary64))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y)
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(* 3/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow x 2)
(*.f64 x x)
(* -1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64))
(+ x (* -1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (*.f64 (fabs.f64 (-.f64 y x)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))) x)
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (-.f64 (fma.f64 (fma.f64 (/.f64 (fabs.f64 (-.f64 y x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)) (*.f64 (*.f64 y y) #s(literal -1/4 binary64))) (/.f64 y x)) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) (*.f64 (fabs.f64 (-.f64 y x)) (fma.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64)) x) x)
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) y) x) (/.f64 y x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 3/4 binary64))) (*.f64 x x))
(* x (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) x))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (fma.f64 (*.f64 (fabs.f64 (-.f64 y x)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (fma.f64 #s(literal 3/8 binary64) (fabs.f64 (-.f64 y x)) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 x)))) x) #s(literal 3/4 binary64)) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -3/2 binary64)) (neg.f64 x))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)) x) x)
(* -1 (* x (- (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 x))
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 (fabs (- x y)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 3/4 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* 1/2 (/ (* x y) (+ x (* -1/2 (fabs (- x y)))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(fma.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 x x) (/.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))) (+ (* y (+ (* -1/4 (/ y (+ x (* -1/2 (fabs (- x y)))))) (* 1/2 (/ x (+ x (* -1/2 (fabs (- x y)))))))) (/ (pow x 2) (+ x (* -1/2 (fabs (- x y)))))))
(fma.f64 (/.f64 #s(literal 3/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 x x) (*.f64 (/.f64 y (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y))))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/4 (pow x 2)) (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(*.f64 (fma.f64 #s(literal 3/4 binary64) x (*.f64 #s(literal 1/2 binary64) y)) x)
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/4 binary64) y)) y (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (- x y))))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y))))))) (+ (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (- x y))))))) (/ (pow x 2) (* (pow y 2) (+ x (* -1/2 (fabs (- x y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (- x y))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (+.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1/2 binary64) y)))) y) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) y) y)
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(*.f64 (fma.f64 #s(literal 3/4 binary64) (*.f64 (/.f64 (/.f64 x y) y) x) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/4 binary64))) (*.f64 y y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1/4 (/ (pow y 2) (+ x (* -1/2 (fabs (+ x (* -1 y)))))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* 1/2 (/ x (* y (+ x (* -1/2 (fabs (+ x (* -1 y)))))))) (* 1/4 (/ 1 (+ x (* -1/2 (fabs (+ x (* -1 y)))))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) (*.f64 y 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)))))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)) x (*.f64 (*.f64 x (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x))) #s(literal -3/4 binary64))) y)) (*.f64 y y))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64)) y)
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64)) x)
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(*.f64 (*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) #s(literal -3/4 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)) y) y)
(+ x (* -1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal -1/2 binary64) x)

rewrite300.0ms (4.8%)

Memory
-18.6MiB live, 187.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039181
061180
1209180
21475172
08791169
Stop Event
iter limit
node limit
iter limit
Counts
17 → 389
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#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)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(-.f64 x y)
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fabs.f64 (-.f64 x y))
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) #s(literal 3/4 binary64))
(*.f64 x x)
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (*.f64 (/.f64 (neg.f64 y) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (neg.f64 y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (/.f64 (neg.f64 y) x)) (*.f64 x (/.f64 (neg.f64 y) x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (neg.f64 y) x) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (neg.f64 y) x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))))))
(*.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x))))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))))) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) x)
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))) (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)))))
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(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 x y) x)
(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (-.f64 x y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x y)) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 x y)))

eval129.0ms (2.1%)

Memory
-0.7MiB live, 155.6MiB allocated
Compiler

Compiled 16 234 to 1 782 computations (89% saved)

prune23.0ms (0.4%)

Memory
-6.4MiB live, 33.4MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5093512
Fresh538
Picked325
Done011
Total5179526
Accuracy
100.0%
Counts
526 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(fma.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)
60.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
11.1%
#s(approx (/ (+ (* (pow (- x y) 2) -1/4) (* x x)) (+ (* -1/2 (fabs (- x y))) x)) (*.f64 #s(literal 3/4 binary64) x))
55.3%
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
29.1%
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
27.8%
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
54.2%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
7.0%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
Compiler

Compiled 193 to 150 computations (22.3% saved)

simplify37.0ms (0.6%)

Memory
12.4MiB live, 49.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029129
040129
157129
273129
3115129
4195129
5269129
6408129
7670129
8757129
9848129
10891129
11905129
12910129
13912129
0912125
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
#s(approx (+ (* (- x y) 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 y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
x
y
#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)
Outputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
#s(literal 1/2 binary64)
x
#s(approx (+ (* (- x y) 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 y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 x y)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(-.f64 x y)
x
y
#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)

localize92.0ms (1.5%)

Memory
-6.0MiB live, 92.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
accuracy28.723915539957606
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
accuracy32.83475594660036
#s(approx (- y x) (neg.f64 x))
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
accuracy29.284228772806873
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal 3/2 binary64) x)
accuracy32.85517530126693
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) y)
accuracy30.558429443807043
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy0.0
(neg.f64 y)
accuracy0.0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0.04296875
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy30.517085740043168
#s(approx (- x y) (neg.f64 y))
Samples
71.0ms236×0valid
3.0ms11×1valid
2.0ms2valid
1.0ms3valid
Compiler

Compiled 90 to 23 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 47.0ms (75.7% of total)
ival-add: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-fabs: 3.0ms (4.8% of total)
ival-div: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
adjust: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
16 → 49
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
#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)
Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ (* -1/2 y) (* 1/2 x))
(fabs (- y x))
y
(+ y (* -1 x))
(* -1 x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(* y (- (/ x y) 1))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

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

simplify152.0ms (2.4%)

Memory
-18.8MiB live, 56.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098243
1271243
2679243
32317233
45778233
57339233
08002219
Stop Event
iter limit
node limit
Counts
49 → 47
Calls
Call 1
Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(+ (* -1/2 y) (* 1/2 x))
(fabs (- y x))
y
(+ y (* -1 x))
(* -1 x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 y))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(- y x)
(* y (- (/ x y) 1))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))
Outputs
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ 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))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(fabs (- y x))
(fabs.f64 (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* x (- (/ y x) 1))
(-.f64 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)
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 y x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* -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 (/ y x)) 1/2)))
(*.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))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ 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 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(- y x)
(-.f64 y x)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 (-.f64 y x) #s(literal -1/2 binary64))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.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))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite178.0ms (2.9%)

Memory
16.2MiB live, 169.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029117
040117
1123117
2803117
09171113
Stop Event
iter limit
node limit
iter limit
Counts
16 → 211
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (-.f64 x y) #s(literal 1/2 binary64))
(-.f64 x y)
#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)
Outputs
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)))) (fma.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y)))))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))) (*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- x y) (neg.f64 y))) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))) x))))
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(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (neg.f64 y) x))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (-.f64 y x))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 x y)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (+.f64 y x))) (/.f64 (*.f64 x x) (+.f64 y x)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
#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))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- y x) (neg.f64 x))))
(fabs.f64 (-.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
(fabs.f64 #s(approx (- y x) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 x x) (neg.f64 x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval49.0ms (0.8%)

Memory
20.8MiB live, 58.3MiB allocated
Compiler

Compiled 5 817 to 841 computations (85.5% saved)

prune15.0ms (0.2%)

Memory
-17.7MiB live, 29.2MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2241225
Fresh011
Picked055
Done123
Total2259234
Accuracy
100.0%
Counts
234 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(fma.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)
60.0%
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
55.3%
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
29.1%
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
27.8%
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
54.2%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
7.0%
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/2 binary64)))
29.8%
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 493 to 212 computations (57% saved)

regimes52.0ms (0.8%)

Memory
8.4MiB live, 45.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
(fma.f64 (-.f64 x y) #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 (+ (* (- x y) 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 #s(approx (- y x) (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
#s(approx (+ (* (fabs (- x y)) 1/2) x) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(fma.f64 (fabs.f64 #s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) #s(literal 1/2 binary64) x)
(/.f64 #s(approx (+ (* (pow (- x y) 2) -1/4) (* x x)) (*.f64 (*.f64 x x) #s(literal 3/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x))
#s(approx (+ (* (pow (/ 2 (fabs (+ (* (neg x) x) (* y y)))) -1) (pow (fabs (+ y x)) -1)) x) (fma.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (+.f64 y x))) x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x)
(+.f64 x (/.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal 1/2 binary64)) (fabs.f64 (+.f64 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 #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 y x)) #s(literal -1 binary64)) x)
Outputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
Calls

3 calls:

35.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
7.0ms
x
7.0ms
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)

regimes16.0ms (0.3%)

Memory
12.2MiB live, 46.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
(fma.f64 (-.f64 x y) #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 (+ (* (- x y) 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 x y) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
#s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

8.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
85.3%3x
75.3%2y
86.5%5(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
-22.5MiB live, 15.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
(fma.f64 (-.f64 x y) #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 x y) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
85.2%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
(fma.f64 (-.f64 x y) #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 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)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
84.2%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 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
57.0%2y
74.8%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
74.5%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes17.0ms (0.3%)

Memory
-44.5MiB live, 7.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 x y) #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)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

2 calls:

14.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
64.9%2x
56.3%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 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 (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
57.3%4(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
46.6%2y
57.7%3x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
51.0%2(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
44.5%2x
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 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
29.8%1x
29.8%1y
29.8%1(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch74.0ms (1.2%)

Memory
-26.9MiB live, 48.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.1263879844907145e-111
3.552542101513421e-105
17.0ms
-206256221821223.03
-2905607407735.687
Samples
19.0ms249×0valid
1.0ms1valid
Compiler

Compiled 395 to 348 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30% of total)
ival-fabs: 2.0ms (30% of total)
ival-sub: 2.0ms (30% of total)
ival-add: 1.0ms (15% 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
4.0MiB live, 4.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.1263879844907145e-111
3.552542101513421e-105
1.0ms
-206256221821223.03
-2905607407735.687
Compiler

Compiled 323 to 294 computations (9% saved)

bsearch8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.1263879844907145e-111
3.552542101513421e-105
6.0ms
-206256221821223.03
-2905607407735.687
Samples
3.0ms64×0valid
Compiler

Compiled 403 to 358 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-fabs: 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
-2.610733023713806e-209
1.6362870502103942e-256
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch12.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
7208956654857.17
440106970441785500.0
Samples
6.0ms128×0valid
Compiler

Compiled 211 to 188 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (32.3% of total)
ival-div: 1.0ms (32.3% of total)
ival-add: 1.0ms (32.3% of total)
ival-fabs: 1.0ms (32.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.3%)

Memory
-1.1MiB live, 34.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.4778359164102186e-147
9.729897451044821e-145
4.0ms
-206256221821223.03
-2905607407735.687
Samples
6.0ms123×0valid
0.0ms1valid
Compiler

Compiled 390 to 347 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (31.1% of total)
ival-add: 1.0ms (31.1% of total)
ival-fabs: 1.0ms (31.1% of total)
ival-sub: 1.0ms (31.1% 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)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.607723592726365e-227
1.074678635404868e-222
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify129.0ms (2.1%)

Memory
1.1MiB live, 83.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063304
185304
2120304
3203304
4363304
5774304
61426304
75085304
87171304
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 7400000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 6678075163775057/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- x y) 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 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 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 -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) #s(approx (+ (* (- x y) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 x #s(literal -42000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 5784239726914675/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 7400000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -28000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 x #s(literal 6678075163775057/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)) #s(approx (+ (* (- x y) 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 5334411546303883/53344115463038834192638814325770062377158066578527265283170062494112297902541056572171457606972434325943439284747465923567110413232954920642906848418646640368761260636112116467704626287294512197831720129087092815853525984299811690329311019008 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (* (- x y) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (* (- x y) 1/2) (*.f64 #s(literal 1/2 binary64) x)))

soundness1.4s (22.4%)

Memory
-21.5MiB live, 657.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781291
18441221
224611146
082581061
0721
01121
15121
238021
3535121
0839820
037163
066154
1254150
21731141
09304141
04384
111584
226484
377284
4239584
5327284
6430584
7516384
8573884
9622684
10791584
0800580
03531621
110491556
228151471
084331376
098243
1271243
2679243
32317233
45778233
57339233
08002219
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 777 to 433 computations (44.3% saved)

preprocess67.0ms (1.1%)

Memory
16.1MiB live, 54.3MiB allocated
Compiler

Compiled 624 to 142 computations (77.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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