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

Time bar (total: 4.5s)

analyze16.0ms (0.3%)

Memory
1.2MiB live, 39.2MiB allocated
Algorithm
1×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)

sample646.0ms (14.3%)

Memory
21.4MiB live, 1 147.3MiB allocated
Samples
349.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 77.0ms (52.2% of total)
ival-add: 61.0ms (41.3% of total)
ival-true: 6.0ms (4.1% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess59.0ms (1.3%)

Memory
-4.9MiB live, 34.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
Outputs
(/.f64 x (+.f64 x y))

explain42.0ms (0.9%)

Memory
34.1MiB live, 112.6MiB 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
19.0ms512×0valid
Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.5% of total)
ival-add: 3.0ms (41.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Memory
-39.9MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize15.0ms (0.3%)

Memory
-5.3MiB live, 34.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.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: 4.0ms
ival-div: 2.0ms (55.4% of total)
ival-add: 2.0ms (55.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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 (/ 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 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 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 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 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 (/ 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 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 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 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>) () ())) ())
#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 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 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>) () ())) ())
Calls

12 calls:

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

simplify315.0ms (7%)

Memory
-46.7MiB live, 508.7MiB allocated
Algorithm
1×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
0124369
1369348
2945318
33738316
08250303
Stop Event
1×iter limit
1×node limit
Counts
48 → 42
Calls
Call 1
Inputs
(/ 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
(+ 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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)))) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 (/.f64 y x) #s(literal -1 binary64)) #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) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) (neg.f64 y)) 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 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #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) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) (neg.f64 y)) 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 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) (neg.f64 y)) y) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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) (*.f64 x (*.f64 x x))) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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) (*.f64 x (*.f64 x x))) y)) y)) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
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)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x 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)

rewrite288.0ms (6.4%)

Memory
19.4MiB live, 530.2MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×iter limit
Counts
2 → 316
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(+.f64 x y)
Outputs
(+.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 x (neg.f64 (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (pow.f64 (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x y) (+.f64 x y) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(*.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 y x))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))) (-.f64 x y))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))
(*.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))))

eval87.0ms (1.9%)

Memory
-8.9MiB live, 42.3MiB allocated
Compiler

Compiled 10 479 to 1 047 computations (90% saved)

prune53.0ms (1.2%)

Memory
9.4MiB live, 86.7MiB 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
▶99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
✓100.0%
(/.f64 x (+.f64 x y))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
▶56.6%
#s(approx (/ x (+ x y)) (/.f64 x y))
44.7%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) (neg.f64 y)) y) x)))
▶44.6%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶45.4%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 121 to 70 computations (42.1% saved)

simplify42.0ms (0.9%)

Memory
3.5MiB live, 41.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x 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
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
Rules
336×lower-fma.f64
336×lower-fma.f32
324×times-frac
240×lower-*.f32
238×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01685
02487
13679
26379
312779
417679
522979
625079
728779
832879
938579
1042579
1154079
1291179
13100779
14101179
15101679
16102179
0102179
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 x y)) x)
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
#s(literal 1 binary64)
(+.f64 x y)
x
y

localize51.0ms (1.1%)

Memory
-12.8MiB live, 69.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓accuracy44.6%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy56.6%
#s(approx (/ x (+ x y)) (/.f64 x y))
✓accuracy45.4%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x y))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
Samples
33.0ms256×0valid
Compiler

Compiled 75 to 14 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 15.0ms (75.2% of total)
ival-add: 2.0ms (10% of total)
ival-mult: 2.0ms (10% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
11 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) 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 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x (pow y 2))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ y x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ x y) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
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#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 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 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>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.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 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>) () ())) ())
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#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 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt #s(approx (/ x (+ x y)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #<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 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x) #<representation binary64>) () ())) ())
Calls

63 calls:

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

simplify327.0ms (7.2%)

Memory
21.0MiB live, 331.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 690×lower-fma.f64
12 690×lower-fma.f32
3 860×lower-*.f64
3 860×lower-*.f32
1 890×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932248
15822025
214621865
356491855
081991764
Stop Event
1×iter limit
1×node limit
Counts
252 → 246
Calls
Call 1
Inputs
(/ 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
(+ 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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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)))
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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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 (+ (* -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
(+ 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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x 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
(+ 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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y 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)))
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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 x y) (*.f64 x x))
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(/.f64 (-.f64 x y) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 x y) (*.f64 x x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 x y) (*.f64 x x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y) #s(literal 1 binary64)) y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
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)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) 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 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 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 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 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 x (/.f64 x (neg.f64 y)) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
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))
(* -1 (/ y x))
(/.f64 y (neg.f64 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))
(* -1 (/ y x))
(/.f64 y (neg.f64 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))
(* -1 (/ y x))
(/.f64 y (neg.f64 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))
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))
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)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.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 x (/.f64 x (neg.f64 y)) x) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (neg.f64 x)) x) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #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 y (neg.f64 (/.f64 (-.f64 x y) (*.f64 x x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 y (/.f64 (-.f64 x y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) (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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)

rewrite267.0ms (5.9%)

Memory
5.2MiB live, 358.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 082×lower-fma.f64
4 082×lower-fma.f32
3 124×lower-*.f32
3 122×lower-*.f64
2 566×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01665
02467
19359
259059
3665459
0815859
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 542
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(+.f64 x y)
(/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 x y)) x)
Outputs
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 (neg.f64 x) y)))
(fma.f64 x (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (-.f64 y x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) x (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 y)))
(neg.f64 (/.f64 x (-.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (*.f64 (-.f64 y x) (*.f64 y (-.f64 y x))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 x))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (-.f64 x y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (+.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (*.f64 y y))) (neg.f64 (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) (*.f64 y y))) (+.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))

eval175.0ms (3.9%)

Memory
-21.0MiB live, 125.7MiB allocated
Compiler

Compiled 18 458 to 1 346 computations (92.7% saved)

prune103.0ms (2.3%)

Memory
-1.1MiB live, 198.3MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New9912993
Fresh101
Picked145
Done011
Total99371 000
Accuracy
100.0%
Counts
1 000 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 x y))
▶99.6%
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
▶56.1%
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
✓56.6%
#s(approx (/ x (+ x y)) (/.f64 x y))
✓44.6%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓45.4%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 61 to 34 computations (44.3% saved)

simplify329.0ms (7.3%)

Memory
44.1MiB live, 470.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (+.f64 x y))
✓cost-diff320
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
✓cost-diff1088
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
✓cost-diff0
(/.f64 x (neg.f64 y))
✓cost-diff0
(fma.f64 x (/.f64 x (neg.f64 y)) x)
✓cost-diff0
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
✓cost-diff0
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
Rules
12 260×lower-fma.f32
12 258×lower-fma.f64
3 424×lower-*.f32
3 422×lower-*.f64
3 094×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01782
02778
15274
211864
326064
480864
5337964
0842264
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(fma.f64 x (/.f64 x (neg.f64 y)) x)
x
(/.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
Outputs
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(fma.f64 x (/.f64 x (neg.f64 y)) x)
(-.f64 x (/.f64 (*.f64 x x) y))
x
(/.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (+.f64 x y))
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)

localize51.0ms (1.1%)

Memory
-13.5MiB live, 68.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x y)
✓accuracy100.0%
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
✓accuracy100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
✓accuracy99.6%
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
✓accuracy100.0%
(neg.f64 y)
✓accuracy99.9%
(fma.f64 x (/.f64 x (neg.f64 y)) x)
✓accuracy97.7%
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
✓accuracy56.1%
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
Samples
35.0ms256×0valid
Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 11.0ms (56% of total)
ival-add: 3.0ms (15.3% of total)
ival-mult: 3.0ms (15.3% of total)
ival-sub: 1.0ms (5.1% of total)
ival-neg: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 x (neg.f64 y)) x) (patch (fma.f64 x (/.f64 x (neg.f64 y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) (patch (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x) (patch (*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (+.f64 x y)) (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) 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 #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) (patch #s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (pow y 2))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) (patch (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.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 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>) () ())) ())
Calls

57 calls:

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

simplify379.0ms (8.4%)

Memory
-36.4MiB live, 452.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 656×lower-fma.f64
12 656×lower-fma.f32
3 634×lower-*.f64
3 634×lower-*.f32
2 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03001978
19351803
224841641
372121637
083071570
Stop Event
1×iter limit
1×node limit
Counts
228 → 216
Calls
Call 1
Inputs
(/ 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
(+ 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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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 (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(* -1 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
x
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* -1 (/ x y))))
(* x (+ 1 (* -1 (/ x y))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* -1 (/ (pow x 2) y))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(/ (+ (* -1 (pow x 2)) (* x y)) y)
x
(+ x (* -1 (/ (pow x 2) y)))
(+ x (* -1 (/ (pow x 2) y)))
(+ x (* -1 (/ (pow x 2) y)))
x
(+ x (* -1 (/ (pow x 2) y)))
(+ x (* -1 (/ (pow x 2) y)))
(+ x (* -1 (/ (pow x 2) y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(/ 1 y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/ 1 x)
(* -1 (/ (- (/ y x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/ 1 x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ 1 y)
(/ (+ 1 (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/ 1 y)
(* -1 (/ (- (/ x y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 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)))
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 (/ (- (* -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 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 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)
(/ 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
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y 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)))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #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 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)))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #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 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))))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y))))) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* -1 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* -1 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* (pow x 2) (- (/ 1 (* x y)) (/ 1 (pow y 2))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))
(* -1 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (+ (* -1 (pow x 2)) (* x y)) (pow y 2))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
x
(* x (+ 1 (* -1 (/ x y))))
(-.f64 x (/.f64 (*.f64 x x) y))
(* x (+ 1 (* -1 (/ x y))))
(-.f64 x (/.f64 (*.f64 x x) y))
(* x (+ 1 (* -1 (/ x y))))
(-.f64 x (/.f64 (*.f64 x x) y))
(* -1 (/ (pow x 2) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* -1 (/ (pow x 2) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* -1 (/ (pow x 2) y))
(/.f64 (*.f64 x (neg.f64 x)) y)
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 x x) y))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 x x) y))
(/ (+ (* -1 (pow x 2)) (* x y)) y)
(-.f64 x (/.f64 (*.f64 x x) y))
x
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
x
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(+ x (* -1 (/ (pow x 2) y)))
(-.f64 x (/.f64 (*.f64 x x) y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))) y)
(+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 x (-.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ y x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x)
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ y x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x))
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x))
(/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 y (-.f64 (/.f64 y (*.f64 x (*.f64 x x))) (*.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ x y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))) y)
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (neg.f64 x)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ x y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (neg.f64 x)) y)) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (*.f64 y 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)))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #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 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)))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #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 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))))
(fma.f64 y (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (-.f64 x (*.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)))) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (fma.f64 x (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y))))) y)
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 y y))) y)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (+.f64 y y) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (+.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y (-.f64 (*.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -2 binary64)))) x) (+.f64 y y)) x))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y x)) x) (+.f64 y y) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(-.f64 (fma.f64 (*.f64 x (+.f64 x x)) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x x) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 (+.f64 x x) y) #s(literal -2 binary64))) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) x)) y) (+.f64 x x)) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
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)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x 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)

rewrite336.0ms (7.4%)

Memory
4.0MiB live, 524.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 674×lower-fma.f32
5 672×lower-fma.f64
4 250×lower-*.f32
4 248×lower-*.f64
4 104×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
02774
112160
294560
0882260
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 1 478
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y)
(fma.f64 x (/.f64 x (neg.f64 y)) x)
(/.f64 x (neg.f64 y))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
(/.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
(neg.f64 y)
(+.f64 x y)
Outputs
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 x x) y))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 x x) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(+.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x (/.f64 (*.f64 x x) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (neg.f64 (fma.f64 x (/.f64 x y) x))) y) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (/.f64 x y) x)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 y (neg.f64 (fma.f64 x (/.f64 x y) x)))) (/.f64 (*.f64 x x) (*.f64 y (neg.f64 (fma.f64 x (/.f64 x y) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(fma.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 x x) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x (/.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x (/.f64 (*.f64 x x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 (fma.f64 x (/.f64 x y) x))) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) y) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) y) (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) y)))
(/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (/.f64 (*.f64 x x) y) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) (neg.f64 y))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y))))) (*.f64 (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) y))
(/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y))))) (*.f64 y (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (*.f64 x x) y))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) y))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (*.f64 y (neg.f64 (fma.f64 x (/.f64 x y) x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y)))))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y)))))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) y)))
(/.f64 (*.f64 (-.f64 x (/.f64 (*.f64 x x) y)) (fma.f64 x (/.f64 x y) x)) (neg.f64 (*.f64 y (neg.f64 (fma.f64 x (/.f64 x y) x)))))
(/.f64 (*.f64 (-.f64 x (/.f64 (*.f64 x x) y)) (fma.f64 x (/.f64 x y) x)) (neg.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) y)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y))))) y) (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) y) (neg.f64 (fma.f64 x (/.f64 x y) x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y (neg.f64 y))))) y)) (neg.f64 (fma.f64 x (+.f64 x (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) y)) (fma.f64 x (/.f64 x y) x))
(pow.f64 (/.f64 y (-.f64 x (/.f64 (*.f64 x x) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y))
(*.f64 (-.f64 x (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 x (/.f64 (*.f64 x x) y)) y) (/.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) (neg.f64 (fma.f64 x (/.f64 x y) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x x) y) x) y))
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(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) (/.f64 x (-.f64 x y))) (*.f64 (+.f64 x y) (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 (+.f64 x y) (/.f64 y (-.f64 x y))) (*.f64 (+.f64 x y) (/.f64 y (-.f64 x y))))) (fma.f64 (+.f64 x y) (/.f64 x (-.f64 x y)) (*.f64 (+.f64 x y) (/.f64 y (-.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (+.f64 x y) (+.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (-.f64 y x) (/.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (-.f64 x y)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 y x)) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 x y)))

eval252.0ms (5.6%)

Memory
32.3MiB live, 294.6MiB allocated
Compiler

Compiled 52 547 to 5 238 computations (90% saved)

prune313.0ms (6.9%)

Memory
-13.6MiB live, 511.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1 85801 858
Fresh000
Picked022
Done055
Total1 85871 865
Accuracy
100.0%
Counts
1 865 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 x y))
✓99.6%
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓56.1%
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
✓56.6%
#s(approx (/ x (+ x y)) (/.f64 x y))
✓44.6%
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓45.4%
#s(approx (/ x (+ x y)) #s(literal 1 binary64))
Compiler

Compiled 136 to 58 computations (57.4% saved)

regimes10.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
9 → 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 x y)) x)
#s(approx (/ (/ 1 (+ x y)) (/ 1 x)) (/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) (-.f64 x y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) (neg.f64 y)) y) x)))
Outputs
(/.f64 x (+.f64 x y))
Calls

3 calls:

3.0ms
x
3.0ms
y
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 13 to 8 computations (38.5% saved)

regimes8.0ms (0.2%)

Memory
-25.1MiB live, 11.9MiB 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:

4.0ms
(/.f64 x (+.f64 x y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
81.5%3x
80.3%3y
99.0%2(/.f64 x (+.f64 x y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB 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:

1.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
98.7%2(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB 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
x
1.0ms
(/.f64 x (+.f64 x y))
1.0ms
y
Results
AccuracySegmentsBranch
45.4%1y
45.4%1x
45.4%1(/.f64 x (+.f64 x y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.676578255092188e-10
0.9769673346662672
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.676578255092188e-10
0.9769673346662672
Compiler

Compiled 10 to 9 computations (10% saved)

simplify9.0ms (0.2%)

Memory
-21.2MiB live, 16.0MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
8×sub-neg_binary64
6×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01764
12364
23164
33764
44264
54464
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 4835703278458517/4835703278458516698824704 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 4835703278458517/4835703278458516698824704 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))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 4835703278458517/4835703278458516698824704 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 4835703278458517/4835703278458516698824704 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))

soundness251.0ms (5.6%)

Memory
10.1MiB live, 164.7MiB 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
0124369
1369348
2945318
33738316
08250303
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 64 to 29 computations (54.7% saved)

preprocess50.0ms (1.1%)

Memory
-5.8MiB live, 52.0MiB allocated
Compiler

Compiled 96 to 32 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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