AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.4%)

Memory
25.7MiB live, 25.7MiB 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
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample615.0ms (18.5%)

Memory
-11.1MiB live, 782.8MiB allocated
Samples
357.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-div: 95.0ms (57.3% of total)
ival-add: 61.0ms (36.8% of total)
ival-true: 6.0ms (3.6% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain77.0ms (2.3%)

Memory
26.9MiB live, 64.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(/.f64 x (+.f64 x y))
00-0-(+.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
57.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54.8% of total)
ival-add: 3.0ms (41.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1.8%)

Memory
1.5MiB live, 40.1MiB allocated
Algorithm
egg-herbie
Rules
134×times-frac
80×associate-*l*
70×unsub-neg
70×associate-/r*
58×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
13525
27225
314525
432425
550425
662825
764825
867525
968725
045
065
175
075
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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
100.0%
(/.f64 x (+.f64 x y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify47.0ms (1.4%)

Memory
-51.7MiB live, 4.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 x (+.f64 x y))
Rules
lower-+.f32
lift-+.f64
lift-/.f64
lower-+.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1710
0710
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
x
(+.f64 x y)
y
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
x
(+.f64 x y)
(+.f64 y x)
y

localize14.0ms (0.4%)

Memory
20.1MiB live, 20.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.0234375
(/.f64 x (+.f64 x y))
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (57.3% of total)
ival-add: 1.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 x y)) (patch (/.f64 x (+.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify150.0ms (4.5%)

Memory
10.0MiB live, 238.5MiB allocated
Algorithm
egg-herbie
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
3 612×lower-*.f64
3 612×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124360
1369342
2945318
33728316
08239303
Stop Event
iter limit
node limit
Counts
48 → 42
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x y)
(+ x y)
(+ x y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(neg.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)

rewrite215.0ms (6.5%)

Memory
13.3MiB live, 315.1MiB allocated
Rules
5 260×lower-/.f32
5 258×lower-/.f64
4 086×lower-fma.f64
4 086×lower-fma.f32
3 762×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1288
21898
318388
086478
Stop Event
iter limit
node limit
iter limit
Counts
2 → 316
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) y)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (hypot.f64 y x))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x y)))) (/.f64 (*.f64 y y) (neg.f64 (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (hypot.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 x (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval119.0ms (3.6%)

Memory
5.0MiB live, 166.1MiB allocated
Compiler

Compiled 8 028 to 1 061 computations (86.8% saved)

prune10.0ms (0.3%)

Memory
10.4MiB live, 48.6MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3526358
Fresh000
Picked011
Done000
Total3527359
Accuracy
100.0%
Counts
359 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
56.7%
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
52.5%
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
48.1%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 93 to 76 computations (18.3% saved)

simplify182.0ms (5.5%)

Memory
-2.6MiB live, 201.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (-.f64 y x))
cost-diff1408
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ x y)) (/.f64 x y))
cost-diff0
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
Rules
7 220×lower-fma.f64
7 220×lower-fma.f32
3 350×lower-*.f32
3 344×lower-*.f64
1 948×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020102
03197
15095
212091
328691
4116991
5551391
0815991
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(neg.f64 x)
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))
x
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
y
(-.f64 y x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 x y))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
#s(literal -1 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(neg.f64 x)
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 x (+.f64 x y))
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))
x
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (-.f64 y x) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
y
(-.f64 y x)

localize79.0ms (2.4%)

Memory
-17.8MiB live, 95.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
(*.f64 (+.f64 y x) (-.f64 y x))
accuracy6.48777146723501
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
accuracy20.424620949337722
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy0
(/.f64 y x)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy30.699828347558135
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy0
(/.f64 x y)
accuracy33.18919302625393
#s(approx (/ x (+ x y)) (/.f64 x y))
accuracy30.745975979527202
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
accuracy0
(+.f64 y x)
accuracy0
(neg.f64 x)
accuracy0.015625
(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy0.1953125
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
Samples
67.0ms256×0valid
Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 20.0ms (59.1% of total)
ival-add: 5.0ms (14.8% of total)
ival-mult: 5.0ms (14.8% of total)
ival-sub: 2.0ms (5.9% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.7%)

Memory
-14.1MiB live, 30.0MiB allocated
Counts
14 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation:binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (+ x y)) (/.f64 x y)) (patch #s(approx (/ x (+ x y)) (/.f64 x y)) #<representation:binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ())
#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation:binary64>) () ())
#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) (patch (*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify175.0ms (5.3%)

Memory
14.6MiB live, 185.3MiB allocated
Algorithm
egg-herbie
Rules
8 690×lower-fma.f64
8 690×lower-fma.f32
3 758×lower-*.f64
3 758×lower-*.f32
3 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03842949
112002596
240662468
086482353
Stop Event
iter limit
node limit
Counts
324 → 315
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(* -1 x)
(- y x)
(- y x)
(- y x)
(/ -1 x)
(- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x))
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ -1 y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(/ x (pow y 2))
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/ (- (+ x (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (* x (+ x (* -1 x))) y)))) (pow y 2))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(/ x (pow y 2))
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(pow y 2)
(+ (* x (+ y (* -1 y))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(/ x (pow y 2))
(* x (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4))))
(* x (+ (* (pow x 2) (+ (/ 1 (pow y 4)) (/ (pow x 2) (pow y 6)))) (/ 1 (pow y 2))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 6)) (/ (pow x 2) (pow y 8)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
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1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(/ -1 x)
(/ (- (* -1 (/ (+ y (* -1 y)) x)) 1) x)
(/ (- (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) x)
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 y x) x) x))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x))))
(*.f64 (neg.f64 x) x)
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(*.f64 (+.f64 x y) (-.f64 y x))
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x)))))
(*.f64 (+.f64 x y) (-.f64 y x))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x)
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x))
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
y
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/.f64 (/.f64 x y) y)
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2))
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)
(/ (- (+ x (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (* x (+ x (* -1 x))) y)))) (pow y 2))
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y) #s(literal -1 binary64)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x)) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
y
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2))
(/.f64 (/.f64 x y) y)
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 x y) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y)
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y) x (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) x)
(pow y 2)
(*.f64 y y)
(+ (* x (+ y (* -1 y))) (pow y 2))
(*.f64 y y)
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(*.f64 (+.f64 x y) (-.f64 y x))
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2))
(*.f64 (+.f64 x y) (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(* x (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 x y) y))
(* x (+ (* (pow x 2) (+ (/ 1 (pow y 4)) (/ (pow x 2) (pow y 6)))) (/ 1 (pow y 2))))
(fma.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 x y) y))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 6)) (/ (pow x 2) (pow y 8)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2))))
(fma.f64 (fma.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ (+ y (* -1 y)) x)) 1) x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) x)
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))) x)
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x))
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) x)

rewrite168.0ms (5.1%)

Memory
23.3MiB live, 244.5MiB allocated
Rules
4 078×lower-/.f32
4 070×lower-/.f64
3 814×lower-*.f32
3 808×lower-*.f64
3 066×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02088
03183
111877
298177
0901877
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 047
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(+.f64 y x)
(neg.f64 x)
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (+.f64 y x) (-.f64 y x))
(-.f64 y x)
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x)))
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (/.f64 x (-.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y)))
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(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 x (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (neg.f64 x) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (neg.f64 x) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (neg.f64 x) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 y x)))
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (-.f64 (hypot.f64 y x) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (-.f64 y x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 x y))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 x (+.f64 x y)))
(*.f64 (/.f64 x (-.f64 y x)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 x (-.f64 y x)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 x (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 (neg.f64 x) (-.f64 y x)))
(*.f64 x (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))
(pow.f64 (-.f64 (/.f64 (*.f64 y y) x) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))) (+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))))))
(/.f64 (neg.f64 (/.f64 x (-.f64 y x))) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (/.f64 (/.f64 x (+.f64 x y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y))
(/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 x (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) x))
(/.f64 (/.f64 x (+.f64 x y)) (-.f64 y x))
(/.f64 (neg.f64 x) (*.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 y y) x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 y y) x) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y)))))
(neg.f64 (/.f64 (/.f64 x (+.f64 x y)) (-.f64 x y)))
(neg.f64 (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x)))
(neg.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (/.f64 x (-.f64 (neg.f64 y) x)) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 y y) x) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)))

eval276.0ms (8.3%)

Memory
19.1MiB live, 406.7MiB allocated
Compiler

Compiled 33 259 to 3 365 computations (89.9% saved)

prune32.0ms (1%)

Memory
-27.6MiB live, 133.3MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 55911 560
Fresh101
Picked055
Done011
Total1 56071 567
Accuracy
100.0%
Counts
1 567 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
56.7%
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
52.5%
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
48.1%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 49 to 40 computations (18.4% saved)

simplify199.0ms (6%)

Memory
28.9MiB live, 144.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 y x) x)
cost-diff0
(/.f64 (/.f64 (-.f64 y x) x) x)
cost-diff0
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
cost-diff0
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
Rules
5 248×lower-*.f64
5 248×lower-*.f32
5 180×lower-fma.f32
5 178×lower-fma.f64
1 294×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01544
12944
25344
38244
414544
535144
670944
7168644
8281844
9423844
10519444
11583544
12632344
13662444
14769144
0826144
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/.f64 (-.f64 y x) x)
(-.f64 y x)
y
x
#s(literal 1 binary64)
Outputs
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/.f64 (-.f64 y x) x)
(-.f64 y x)
y
x
#s(literal 1 binary64)

localize44.0ms (1.3%)

Memory
-22.4MiB live, 56.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(/.f64 (-.f64 y x) x)
accuracy0.1171875
(/.f64 (/.f64 (-.f64 y x) x) x)
accuracy1.897118475741169
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
accuracy30.369885105571594
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
Samples
35.0ms256×0valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (55.7% of total)
ival-add: 3.0ms (20.9% of total)
ival-mult: 2.0ms (13.9% of total)
ival-sub: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) (patch #s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 y x) x) x) (patch (/.f64 (/.f64 (-.f64 y x) x) x) #<representation:binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (- (/ y x) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) x) (patch (/.f64 (-.f64 y x) x) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify165.0ms (5%)

Memory
15.7MiB live, 204.2MiB allocated
Algorithm
egg-herbie
Rules
12 300×lower-fma.f64
12 300×lower-fma.f32
3 146×lower-*.f64
3 146×lower-*.f32
2 068×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153833
1437745
21138712
34244710
08249683
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
(- (/ y (pow x 2)) (/ 1 x))
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ (pow y 2) (pow x 2))
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(/ y (pow x 2))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/ y x)
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(* y (- (/ 1 x) (/ 1 y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ (pow y 2) (pow x 2))
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(/ y (pow x 2))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/ y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ (pow y 2) (pow x 2))
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/ y (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ (+ y (* -1 x)) (pow x 2))
(/ y x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
(/ (+ y (* -1 x)) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
(/ (- (/ y x) 1) x)
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
-1
(- (/ y x) 1)
(- (/ y x) 1)
(- (/ y x) 1)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (/.f64 (-.f64 y x) x) x)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y)
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/ y (pow x 2))
(/.f64 (/.f64 y x) x)
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* y (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ y x)
(/.f64 y x)
(* y (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) x)
(* y (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) x)
(* y (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) x)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y)
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/ y (pow x 2))
(/.f64 (/.f64 y x) x)
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* -1 (* y (- (/ 1 (* x y)) (/ 1 (pow x 2)))))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ y x)
(/.f64 y x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) x)
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y)
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) x (hypot.f64 x y)) (*.f64 x x))
(/ (+ (* x (+ x (* -1 y))) (pow y 2)) (pow x 2))
(/.f64 (fma.f64 (neg.f64 y) x (hypot.f64 x y)) (*.f64 x x))
(/ y (pow x 2))
(/.f64 (/.f64 y x) x)
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ (+ y (* -1 x)) (pow x 2))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ (- (/ y x) 1) x)
(/.f64 (/.f64 (-.f64 y x) x) x)
(/ (- (/ y x) 1) x)
(/.f64 (/.f64 (-.f64 y x) x) x)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (/.f64 (-.f64 y x) x) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (/.f64 (-.f64 y x) x) x)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)

rewrite216.0ms (6.5%)

Memory
-32.1MiB live, 241.4MiB allocated
Rules
4 324×lower-fma.f32
4 322×lower-fma.f64
3 988×lower-*.f64
3 988×lower-*.f32
3 522×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01538
17838
260838
3701638
0839638
Stop Event
iter limit
node limit
iter limit
Counts
4 → 342
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 y x) x) x)
(/.f64 (-.f64 y x) x)
Outputs
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) x)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) x) (/.f64 (*.f64 x (/.f64 x (+.f64 y x))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 x y) x))
(-.f64 (/.f64 (*.f64 y x) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (/.f64 y x))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (/.f64 y x))
(+.f64 #s(literal -1 binary64) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 y x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 (/.f64 y x) #s(literal -1 binary64))

eval83.0ms (2.5%)

Memory
-18.4MiB live, 95.6MiB allocated
Compiler

Compiled 9 040 to 1 557 computations (82.8% saved)

prune10.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4380438
Fresh000
Picked011
Done066
Total4387445
Accuracy
100.0%
Counts
445 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
56.7%
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
52.5%
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
48.1%
#s(approx (/ x (+ x y)) (/.f64 x y))
52.0%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
52.0%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 109 to 67 computations (38.5% saved)

regimes9.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) (fma.f64 (/.f64 (/.f64 (-.f64 y x) x) x) y #s(literal 1 binary64)))
Outputs
(/.f64 x (+.f64 x y))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Outputs
#s(approx (/ x (+ x y)) (/.f64 x y))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
78.2%3x
79.8%3y
97.7%2(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.2%)

Memory
-41.2MiB live, 3.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
#s(approx (/ x (+ x y)) (/.f64 x y))
Outputs
#s(approx (/ x (+ x y)) (/.f64 x y))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Calls

1 calls:

5.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
96.7%2(/.f64 x (+.f64 x y))
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
52.0%1x
52.0%1y
52.0%1(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004298211956260185
0.9280302864939775
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004298211956260185
0.9280302864939775
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify28.0ms (0.8%)

Memory
14.0MiB live, 52.0MiB allocated
Algorithm
egg-herbie
Rules
10×+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
*-commutative-binary64-*.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
12364
23164
33764
44264
54464
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 y x))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (/ x (+ x y)) (/.f64 x y)) #s(approx (/ x (+ x y)) #s(literal 1 binary64)))
#s(approx (/ x (+ x y)) #s(literal 1 binary64))

soundness255.0ms (7.7%)

Memory
-12.3MiB live, 144.0MiB allocated
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
3 612×lower-*.f64
3 612×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124360
1369342
2945318
33728316
08239303
Stop Event
done
iter limit
node limit
Compiler

Compiled 52 to 32 computations (38.5% saved)

preprocess26.0ms (0.8%)

Memory
20.2MiB live, 58.7MiB allocated
Compiler

Compiled 88 to 38 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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