Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.4%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (22.7%)

Memory
21.1MiB live, 761.2MiB allocated
Samples
983.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 649.0ms
ival-div: 267.0ms (41.1% of total)
ival-add: 153.0ms (23.6% of total)
ival-mult: 129.0ms (19.9% of total)
ival-sub: 82.0ms (12.6% of total)
exact: 9.0ms (1.4% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain135.0ms (2.4%)

Memory
-8.8MiB live, 198.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
47.0ms512×0valid
Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 19.0ms (58.8% of total)
ival-div: 7.0ms (21.6% of total)
ival-sub: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess49.0ms (0.9%)

Memory
-7.5MiB live, 29.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02365
14361
26459
311059
414959
515759
616659
716859
0911
01411
12111
22711
34111
47011
510311
610811
711111
811911
912111
012110
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff1
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01439
12139
22739
34139
47039
510339
610839
711139
811939
912139
012136
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize52.0ms (0.9%)

Memory
-2.6MiB live, 36.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy8.292544159016169
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
Samples
46.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sub: 31.0ms (81.5% of total)
ival-div: 3.0ms (7.9% of total)
ival-mult: 2.0ms (5.3% of total)
ival-add: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
5 → 47
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
Outputs
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 (* x y))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
Calls

6 calls:

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

simplify201.0ms (3.6%)

Memory
-6.3MiB live, 150.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231709
1711686
22133661
08530634
Stop Event
iter limit
node limit
Counts
47 → 45
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 (* x y))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) x)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64)))) x y)
(* 1/2 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) y) y)) x x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (neg.f64 x))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal -2 binary64)) x) x)
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x) #s(literal -2 binary64)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) x)) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))

rewrite301.0ms (5.4%)

Memory
-20.7MiB live, 273.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
15435
235135
3482635
0847332
Stop Event
iter limit
node limit
iter limit
Counts
5 → 197
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) (-.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))))))
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(+.f64 (*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x x) x))))
(*.f64 (exp.f64 (log.f64 (/.f64 y #s(literal 2 binary64)))) x)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 2 binary64))) x)
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 y (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 2 binary64)))))
(*.f64 x (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) y))) (exp.f64 (log.f64 #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(neg.f64 (*.f64 (neg.f64 x) y))

eval31.0ms (0.6%)

Memory
12.5MiB live, 87.8MiB allocated
Compiler

Compiled 6 750 to 995 computations (85.3% saved)

prune9.0ms (0.2%)

Memory
-22.2MiB live, 24.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2258233
Fresh000
Picked101
Done000
Total2268234
Accuracy
100.0%
Counts
234 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.2%
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
99.9%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
83.2%
(-.f64 x (*.f64 (/.f64 y (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
62.2%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
60.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
65.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
76.6%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
26.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 314 to 208 computations (33.8% saved)

simplify128.0ms (2.3%)

Memory
16.9MiB live, 170.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff1
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
cost-diff1
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
cost-diff11
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff0
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
cost-diff0
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
cost-diff0
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036292
059270
1105270
2285260
31051260
42924260
55291260
66972260
08046258
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
x
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
y
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
x
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
y
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
#s(literal 2 binary64)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))))
x
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
y
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
#s(literal -1/2 binary64)
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) x)
x
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
y
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
#s(literal 2 binary64)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 y y))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 (*.f64 y x) #s(literal -1/2 binary64))
#s(literal -2 binary64)

localize91.0ms (1.6%)

Memory
-11.5MiB live, 151.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
accuracy0.203125
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy3.0666127805268206
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
accuracy14.379001319170731
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.00390625
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy8.204226203873619
(*.f64 (*.f64 y y) x)
accuracy29.514063687301068
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy33.75577607055178
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(neg.f64 y)
accuracy47.069553421753
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy0.0
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy8.292544159016169
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
Samples
65.0ms256×0valid
Compiler

Compiled 248 to 33 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 13.0ms (26.7% of total)
ival-div: 10.0ms (20.5% of total)
ival-add: 9.0ms (18.5% of total)
ival-pow2: 7.0ms (14.4% of total)
ival-sub: 6.0ms (12.3% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-6.9MiB live, 28.4MiB allocated
Counts
20 → 91
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y y)
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(/ 2 x)
(* x (pow y 2))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (* -1/8 (* (pow x 2) (pow y 4)))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* -1/32 (* (pow x 2) (pow y 6)))))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* (pow x 2) (+ (* -1/32 (pow y 6)) (* -1/128 (* (pow x 2) (pow y 8)))))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* 1/2 x)
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) x)
(/ (+ 2 (+ (/ 8 (* (pow x 2) (pow y 2))) (/ 32 (* (pow x 4) (pow y 4))))) x)
(/ (+ 2 (+ (* 32 (/ 1 (* (pow x 4) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 6) (pow y 6)))) (/ 8 (* (pow x 2) (pow y 2)))))) x)
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow y 2))) (* 32 (/ 1 (* (pow x 2) (pow y 4))))) (pow x 2))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* 32 (/ 1 (pow y 4))) (* 128 (/ 1 (* (pow x 2) (pow y 6))))) (pow x 4))) (+ 2 (/ 8 (* (pow x 2) (pow y 2))))) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* (pow y 2) (+ (* -1/2 x) (* -1/8 (* (pow x 3) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* -1/32 (* (pow x 5) (pow y 2)))))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ (* -1/32 (pow x 5)) (* -1/128 (* (pow x 7) (pow y 2)))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))
(+ (* 2 (/ 1 x)) (+ (/ 8 (* (pow x 3) (pow y 2))) (/ 32 (* (pow x 5) (pow y 4)))))
(+ (* 2 (/ 1 x)) (+ (* 32 (/ 1 (* (pow x 5) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 7) (pow y 6)))) (/ 8 (* (pow x 3) (pow y 2))))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (* 1/2 x) (* y y) (pow (/ (* y x) 2) 2))
4.0ms
x
@0
((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (* 1/2 x) (* y y) (pow (/ (* y x) 2) 2))
3.0ms
x
@inf
((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (* 1/2 x) (* y y) (pow (/ (* y x) 2) 2))
3.0ms
x
@-inf
((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (* 1/2 x) (* y y) (pow (/ (* y x) 2) 2))
2.0ms
y
@-inf
((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (* 1/2 x) (* y y) (pow (/ (* y x) 2) 2))

simplify187.0ms (3.4%)

Memory
29.5MiB live, 258.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04751651
115001626
249851620
081381551
Stop Event
iter limit
node limit
Counts
91 → 89
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(/ 2 x)
(* x (pow y 2))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (* -1/8 (* (pow x 2) (pow y 4)))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* -1/32 (* (pow x 2) (pow y 6)))))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* (pow x 2) (+ (* -1/32 (pow y 6)) (* -1/128 (* (pow x 2) (pow y 8)))))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* 1/2 x)
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) x)
(/ (+ 2 (+ (/ 8 (* (pow x 2) (pow y 2))) (/ 32 (* (pow x 4) (pow y 4))))) x)
(/ (+ 2 (+ (* 32 (/ 1 (* (pow x 4) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 6) (pow y 6)))) (/ 8 (* (pow x 2) (pow y 2)))))) x)
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow y 2))) (* 32 (/ 1 (* (pow x 2) (pow y 4))))) (pow x 2))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* 32 (/ 1 (pow y 4))) (* 128 (/ 1 (* (pow x 2) (pow y 6))))) (pow x 4))) (+ 2 (/ 8 (* (pow x 2) (pow y 2))))) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* (pow y 2) (+ (* -1/2 x) (* -1/8 (* (pow x 3) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* -1/32 (* (pow x 5) (pow y 2)))))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ (* -1/32 (pow x 5)) (* -1/128 (* (pow x 7) (pow y 2)))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))
(+ (* 2 (/ 1 x)) (+ (/ 8 (* (pow x 3) (pow y 2))) (/ 32 (* (pow x 5) (pow y 4)))))
(+ (* 2 (/ 1 x)) (+ (* 32 (/ 1 (* (pow x 5) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 7) (pow y 6)))) (/ 8 (* (pow x 3) (pow y 2))))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
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(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 y y)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (*.f64 y y)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x))) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y))

rewrite225.0ms (4.1%)

Memory
10.9MiB live, 255.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036255
059233
1246233
21934233
09577223
Stop Event
iter limit
node limit
iter limit
Counts
20 → 559
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y y) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64))))
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y y)
(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)) (*.f64 (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)) (/.f64 (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) x) (*.f64 x x))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(neg.f64 (/.f64 y (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
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(*.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fabs.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (fabs.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y y) (pow.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 (/.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 y (fabs.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 y (pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 x (pow.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 (neg.f64 y) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 y x) (*.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 (neg.f64 y) x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 (neg.f64 y) x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)) #s(literal -4 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))

eval149.0ms (2.7%)

Memory
-25.7MiB live, 172.7MiB allocated
Compiler

Compiled 32 895 to 3 056 computations (90.7% saved)

prune15.0ms (0.3%)

Memory
7.2MiB live, 45.1MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New7094713
Fresh213
Picked235
Done000
Total7138721
Accuracy
100.0%
Counts
721 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
99.9%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
60.6%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
83.2%
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
65.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
60.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
76.6%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
26.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 233 to 167 computations (28.3% saved)

simplify133.0ms (2.4%)

Memory
13.3MiB live, 164.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
cost-diff0
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
cost-diff1
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
cost-diff1
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
cost-diff0
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
cost-diff0
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
cost-diff0
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
cost-diff0
(-.f64 x y)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff0
(/.f64 x #s(literal -2 binary64))
cost-diff0
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
cost-diff1
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035305
057302
194302
2209302
3691302
42126302
54430302
67403302
08055294
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
x
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
y
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y x)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
x
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
x
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
y
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
x
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
y
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y x)
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) y x)
x
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
(fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
y
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y x))
(*.f64 y x)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
x
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)
(*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
x
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
y
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) y x)
x
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
y
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y x) y))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 y x))
(*.f64 y x)
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize94.0ms (1.7%)

Memory
10.3MiB live, 170.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
accuracy0.09375
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
accuracy0.203125
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
accuracy17.639166179446914
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy8.292544159016169
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
accuracy33.63911101853089
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
accuracy0.0
(*.f64 y x)
accuracy0.00390625
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)
accuracy0.09375
(*.f64 (*.f64 y x) y)
accuracy29.514063687301068
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y))
accuracy0.0
(-.f64 x y)
accuracy14.990748317907315
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy0.00390625
(/.f64 (*.f64 y x) #s(literal -2 binary64))
accuracy0.203125
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
accuracy3.0666127805268206
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
accuracy14.343845069170731
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
Samples
70.0ms256×0valid
Compiler

Compiled 271 to 33 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 12.0ms (30% of total)
ival-mult: 12.0ms (30% of total)
ival-sub: 6.0ms (15% of total)
ival-add: 5.0ms (12.5% of total)
ival-pow2: 3.0ms (7.5% of total)
exact: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-16.1MiB live, 27.2MiB allocated
Counts
22 → 88
Calls
Call 1
Inputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y))
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)
(*.f64 (*.f64 y x) y)
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
#s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y x)
Outputs
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
1
(+ 1 (* -1/2 (* x y)))
(* -1/2 x)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(- x y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x (pow y 2))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* -1/2 (* x (pow y 2)))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* -1/2 (* x y))
(* x y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* -1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* -1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2))))) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2)))) (+ (* (/ x -2) y) 1) (/ x -2) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2)))) (+ y (* (/ (* y x) -2) y)) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2))) (* (/ (* y x) -2) y) (/ y (- 1 (pow (/ (* y x) -2) 2))) (pow (/ (* y x) -2) 2) (/ (* y x) -2) (* y x))
3.0ms
x
@0
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2))))) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2)))) (+ (* (/ x -2) y) 1) (/ x -2) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2)))) (+ y (* (/ (* y x) -2) y)) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2))) (* (/ (* y x) -2) y) (/ y (- 1 (pow (/ (* y x) -2) 2))) (pow (/ (* y x) -2) 2) (/ (* y x) -2) (* y x))
2.0ms
y
@-inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2))))) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2)))) (+ (* (/ x -2) y) 1) (/ x -2) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2)))) (+ y (* (/ (* y x) -2) y)) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2))) (* (/ (* y x) -2) y) (/ y (- 1 (pow (/ (* y x) -2) 2))) (pow (/ (* y x) -2) 2) (/ (* y x) -2) (* y x))
2.0ms
x
@inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2))))) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2)))) (+ (* (/ x -2) y) 1) (/ x -2) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2)))) (+ y (* (/ (* y x) -2) y)) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2))) (* (/ (* y x) -2) y) (/ y (- 1 (pow (/ (* y x) -2) 2))) (pow (/ (* y x) -2) 2) (/ (* y x) -2) (* y x))
2.0ms
y
@inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2))))) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (pow (/ (* y x) -2) 2)))) (+ (* (/ x -2) y) 1) (/ x -2) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2)))) (+ y (* (/ (* y x) -2) y)) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (pow (/ (* y x) -2) 2))) (* (/ (* y x) -2) y) (/ y (- 1 (pow (/ (* y x) -2) 2))) (pow (/ (* y x) -2) 2) (/ (* y x) -2) (* y x))

simplify171.0ms (3.1%)

Memory
16.6MiB live, 208.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04061373
112361351
238601343
082871280
Stop Event
iter limit
node limit
Counts
88 → 86
Calls
Call 1
Inputs
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
1
(+ 1 (* -1/2 (* x y)))
(* -1/2 x)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(- x y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* x (pow y 2))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* -1/2 (* x (pow y 2)))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* -1/2 (* x y))
(* x y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* -1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* 1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* -1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* 1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Outputs
(* -1 y)
(neg.f64 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x #s(literal 1 binary64))) x (neg.f64 y))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
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rewrite224.0ms (4%)

Memory
-7.8MiB live, 225.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035248
057245
1242209
21692199
09234199
Stop Event
iter limit
node limit
iter limit
Counts
22 → 661
Calls
Call 1
Inputs
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(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y x)
Outputs
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 x (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)) (*.f64 (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x)) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x)) (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x)))
(fma.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) x)
(-.f64 (-.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x) (*.f64 x x))))
(-.f64 x (*.f64 (neg.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))) (/.f64 (neg.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)) (/.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) x)))
(+.f64 (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) x)
(+.f64 x (*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(+.f64 x (neg.f64 (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (-.f64 y (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y))) (/.f64 (-.f64 y (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y) (-.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y) (-.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y) y) (*.f64 y y))) (/.f64 y (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))) (*.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal -2 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))))))
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(/.f64 (fabs.f64 (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) y))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) (*.f64 y x)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 x) y)) #s(literal -4 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 y #s(literal 2 binary64))))
(*.f64 (fabs.f64 (neg.f64 (/.f64 x #s(literal -2 binary64)))) (fabs.f64 y))
(*.f64 (fabs.f64 (/.f64 y #s(literal 2 binary64))) (fabs.f64 x))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))) (fabs.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))))
(*.f64 (fabs.f64 (/.f64 x #s(literal -2 binary64))) (fabs.f64 (*.f64 y #s(literal 1 binary64))))
(*.f64 (fabs.f64 (/.f64 x #s(literal -2 binary64))) (fabs.f64 y))
(*.f64 (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))))
(*.f64 (fabs.f64 y) (fabs.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (neg.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 y #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (fabs.f64 (/.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x #s(literal -2 binary64))))
(*.f64 y (pow.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal -2 binary64)) y)
(*.f64 x (/.f64 y #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (neg.f64 (*.f64 (neg.f64 x) y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) y))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x #s(literal -2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))) (sinh.f64 (log.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))))))
(*.f64 y x)
(*.f64 x y)

eval144.0ms (2.6%)

Memory
26.5MiB live, 144.0MiB allocated
Compiler

Compiled 26 865 to 3 322 computations (87.6% saved)

prune32.0ms (0.6%)

Memory
0.7MiB live, 37.3MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7992801
Fresh000
Picked235
Done033
Total8018809
Accuracy
100.0%
Counts
809 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
99.9%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
60.6%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
83.2%
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
65.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
60.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
76.6%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
26.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 146 to 107 computations (26.7% saved)

simplify187.0ms (3.4%)

Memory
-5.2MiB live, 80.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff1
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
cost-diff1
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
cost-diff1
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
cost-diff1
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
cost-diff0
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
cost-diff1
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
cost-diff1
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
cost-diff1
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021222
038219
172212
2177212
3510210
41457210
52907210
64800210
75915210
86988210
08027201
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
x
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
y
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(*.f64 y x)
#s(literal -4 binary64)
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
x
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
y
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y x)
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(literal -4 binary64)
Outputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
(fma.f64 (/.f64 y (fma.f64 (/.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 y x) #s(literal -1 binary64))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y) (fma.f64 (*.f64 (/.f64 x #s(literal -4 binary64)) x) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64))
(fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
y
#s(literal 1 binary64)
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(/.f64 y (fma.f64 (*.f64 (/.f64 x #s(literal -4 binary64)) x) (*.f64 y y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
(fma.f64 (*.f64 (/.f64 x #s(literal -4 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(*.f64 y x)
#s(literal -4 binary64)
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(fma.f64 (/.f64 y (fma.f64 (/.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 y x) #s(literal -1 binary64))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
x
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y) (fma.f64 (*.f64 (/.f64 x #s(literal -4 binary64)) x) (*.f64 y y) #s(literal 1 binary64)))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y)
y
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
(*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y)
(/.f64 (*.f64 y x) #s(literal -2 binary64))
(*.f64 y (/.f64 x #s(literal -2 binary64)))
(*.f64 y x)
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
(fma.f64 (*.f64 (/.f64 x #s(literal -4 binary64)) x) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(literal -4 binary64)

localize90.0ms (1.6%)

Memory
8.6MiB live, 81.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
accuracy0.09375
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
accuracy0.20703125
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
accuracy17.639166179446914
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
accuracy0.0
(neg.f64 x)
accuracy0.20703125
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
accuracy3.0666127805268206
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
accuracy14.343845069170731
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
Samples
75.0ms256×0valid
Compiler

Compiled 227 to 24 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sub: 40.0ms (65.2% of total)
ival-div: 9.0ms (14.7% of total)
ival-mult: 9.0ms (14.7% of total)
ival-add: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series117.0ms (2.1%)

Memory
-46.4MiB live, 53.7MiB allocated
Counts
11 → 66
Calls
Call 1
Inputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(neg.f64 x)
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
Outputs
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 x)
(* -1/2 (* x (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow y 2))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 1/4 (pow x 2))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Calls

6 calls:

TimeVariablePointExpression
108.0ms
y
@0
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))))) (- 1 (/ (* (* (neg x) y) (* y x)) -4)) (/ (* (* (neg x) y) (* y x)) -4) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (+ y (* (/ (* y x) -2) y)) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (* (neg x) y) (* y x)) (neg x) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (/ (* y x) -2) y))
2.0ms
y
@inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))))) (- 1 (/ (* (* (neg x) y) (* y x)) -4)) (/ (* (* (neg x) y) (* y x)) -4) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (+ y (* (/ (* y x) -2) y)) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (* (neg x) y) (* y x)) (neg x) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (/ (* y x) -2) y))
2.0ms
x
@inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))))) (- 1 (/ (* (* (neg x) y) (* y x)) -4)) (/ (* (* (neg x) y) (* y x)) -4) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (+ y (* (/ (* y x) -2) y)) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (* (neg x) y) (* y x)) (neg x) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (/ (* y x) -2) y))
2.0ms
x
@-inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))))) (- 1 (/ (* (* (neg x) y) (* y x)) -4)) (/ (* (* (neg x) y) (* y x)) -4) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (+ y (* (/ (* y x) -2) y)) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (* (neg x) y) (* y x)) (neg x) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (/ (* y x) -2) y))
2.0ms
y
@-inf
((- x (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))))) (- 1 (/ (* (* (neg x) y) (* y x)) -4)) (/ (* (* (neg x) y) (* y x)) -4) (* (+ (* (/ x -2) y) 1) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (- x (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4)))) (+ y (* (/ (* y x) -2) y)) (/ y (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (* (neg x) y) (* y x)) (neg x) (/ (+ y (* (/ (* y x) -2) y)) (- 1 (/ (* (* (neg x) y) (* y x)) -4))) (* (/ (* y x) -2) y))

simplify199.0ms (3.6%)

Memory
42.0MiB live, 157.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03501132
110731106
234761089
084111047
Stop Event
iter limit
node limit
Counts
66 → 64
Calls
Call 1
Inputs
(* -1 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(* 1/4 (* (pow x 2) (pow y 2)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 x)
(* -1/2 (* x (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow y 2))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 1/4 (pow x 2))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
Outputs
(* -1 y)
(neg.f64 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x #s(literal 1 binary64))) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(* 1/4 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) x))
y
(+ y (* -1/2 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x) y)
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) y)
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 7 binary64))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/16 binary64))) (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) y)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(* -1 x)
(neg.f64 x)
(* -1/2 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(* -1/4 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/4 binary64)) y)
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/4 (pow y 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x)
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 y x)) x)
(/ -4 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y)
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x))) x) x)
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 7 binary64))) (*.f64 x x)) (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) (*.f64 x x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)))) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 y x)) x)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) y x)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x) y)
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) y) y (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 3 binary64)) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (* 1/4 (pow x 2))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) (/.f64 #s(literal -2 binary64) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y)) y))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
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(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (*.f64 y y)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 y y)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
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(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
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(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) (/.f64 #s(literal -2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
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(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (neg.f64 y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y))

rewrite447.0ms (8.1%)

Memory
-22.5MiB live, 246.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021152
038149
1149128
2957126
08348124
Stop Event
iter limit
node limit
iter limit
Counts
11 → 571
Calls
Call 1
Inputs
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))
(*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x))
(neg.f64 x)
(/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))))) (pow.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) #s(literal 2 binary64))) (+.f64 (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 2 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (fma.f64 y (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))
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(+.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64)))) (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64))) y) (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(+.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) y)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (*.f64 y (/.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64)))) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -4 binary64))))))
(*.f64 (*.f64 y y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 y (/.f64 x #s(literal -2 binary64))) y)
(*.f64 (*.f64 y x) (/.f64 y #s(literal -2 binary64)))
(*.f64 y (*.f64 y (/.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 x #s(literal -2 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 2 binary64))
(neg.f64 (*.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) y))

eval116.0ms (2.1%)

Memory
10.5MiB live, 163.3MiB allocated
Compiler

Compiled 24 048 to 2 397 computations (90% saved)

prune89.0ms (1.6%)

Memory
-14.7MiB live, 86.6MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New5882590
Fresh000
Picked202
Done066
Total5908598
Accuracy
100.0%
Counts
598 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* (neg x) y) (* y x)) -4) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) x))))))
99.9%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
60.6%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
83.2%
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* (neg x) y) (* y x)) -4) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) x)))))))
65.5%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
60.6%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
76.6%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
26.5%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 526 to 220 computations (58.2% saved)

regimes18.0ms (0.3%)

Memory
3.5MiB live, 40.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* (neg x) y) (* y x)) -4) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) x)))))))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* (neg x) y) (* y x)) -4) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) x))))))
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64))))))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 y x)) #s(literal -4 binary64)))))
(-.f64 x (*.f64 (fma.f64 (/.f64 x #s(literal -2 binary64)) y #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64))))))
(-.f64 x (*.f64 (/.f64 y (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 y (*.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))))
Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
Calls

3 calls:

6.0ms
y
5.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1/2 binary64) y)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) y)))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
Outputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

3.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
87.9%3x
94.6%3y
90.4%3(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes16.0ms (0.3%)

Memory
-26.4MiB live, 12.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Calls

3 calls:

13.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
76.6%1x
76.6%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
76.6%1y
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
26.5%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
26.5%1y
26.5%1x
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch46.0ms (0.8%)

Memory
17.6MiB live, 62.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
6.5680717812431024e+159
3.5641508081608746e+162
31.0ms
-6.506759630774912e+102
-1.769593577097057e+96
Samples
32.0ms272×0valid
Compiler

Compiled 524 to 439 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.7% of total)
ival-mult: 2.0ms (22.3% of total)
ival-sub: 1.0ms (11.2% of total)
ival-add: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify137.0ms (2.5%)

Memory
-12.9MiB live, 25.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02886
14786
26386
38186
411086
514586
615886
716186
816886
917686
1018086
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -66999999999999996597355252234737646023255031684339900033999164816989620894373010707970392933261115392 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 6900000000000000247959669211510258282038903019287334185388582009632277932553547363981295905177083562533173003556129417172438104068925524149885757722540959072256 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -66999999999999996597355252234737646023255031684339900033999164816989620894373010707970392933261115392 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 6900000000000000247959669211510258282038903019287334185388582009632277932553547363981295905177083562533173003556129417172438104068925524149885757722540959072256 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -66999999999999996597355252234737646023255031684339900033999164816989620894373010707970392933261115392 binary64)) (not (<=.f64 y #s(literal 6900000000000000247959669211510258282038903019287334185388582009632277932553547363981295905177083562533173003556129417172438104068925524149885757722540959072256 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness291.0ms (5.3%)

Memory
-20.7MiB live, 218.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231709
1711686
22133661
08530634
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 109 to 53 computations (51.4% saved)

preprocess53.0ms (1%)

Memory
16.1MiB live, 55.1MiB allocated
Compiler

Compiled 194 to 80 computations (58.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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