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

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.5%)

Memory
0.7MiB live, 49.4MiB 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)

sample667.0ms (17.6%)

Memory
7.1MiB live, 1 023.5MiB allocated
Samples
421.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-add: 90.0ms (56.4% of total)
ival-div: 62.0ms (38.8% of total)
ival-true: 5.0ms (3.1% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain45.0ms (1.2%)

Memory
-10.1MiB live, 91.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(/.f64 x (+.f64 y x))
00-0-(+.f64 y x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 31 to 16 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.2% of total)
ival-add: 3.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.8%)

Memory
6.9MiB live, 50.7MiB 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
01231
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 y x))
Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
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 y x))
x
(+.f64 y x)
y
Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
x
(+.f64 y x)
(+.f64 x y)
y

localize17.0ms (0.4%)

Memory
-14.2MiB live, 29.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.01953125
(/.f64 x (+.f64 y x))
Samples
13.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (60.6% of total)
ival-add: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<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 y x)) (patch (/.f64 x (+.f64 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify217.0ms (5.7%)

Memory
12.4MiB live, 344.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 270×lower-fma.f64
10 270×lower-fma.f32
3 632×lower-*.f64
3 632×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124369
1369348
2945318
33730316
08248303
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))
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)))
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)))
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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 x x) (/.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) (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 (-.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) (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 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 x (*.f64 x x))) y)) y)) 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)
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)

rewrite284.0ms (7.5%)

Memory
7.7MiB live, 392.0MiB allocated
Rules
5 282×lower-/.f32
5 280×lower-/.f64
3 946×lower-fma.f64
3 946×lower-fma.f32
3 770×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1288
21898
318388
086838
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 315
Calls
Call 1
Inputs
(/.f64 x (+.f64 y x))
(+.f64 y x)
Outputs
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y y)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (neg.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (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 y (/.f64 y (-.f64 y x))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) (pow.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))))))
(/.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 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(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 y x) (-.f64 y x)))
(*.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.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 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(*.f64 (*.f64 (+.f64 x y) (+.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (+.f64 x y) (+.f64 (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) x))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (-.f64 y x))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 y x))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))
(*.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 (neg.f64 y) x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 x x) (-.f64 y x)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))
(*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y)))))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.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 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #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 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))) #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 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))))

eval41.0ms (1.1%)

Memory
-7.9MiB live, 79.4MiB allocated
Compiler

Compiled 10 456 to 1 041 computations (90% saved)

prune103.0ms (2.7%)

Memory
-4.2MiB live, 98.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3516357
Fresh000
Picked011
Done000
Total3517358
Accuracy
100.0%
Counts
358 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
✓100.0%
(/.f64 x (+.f64 y x))
▶99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x (-.f64 y x)))
▶45.1%
#s(approx (/ x (+ y x)) (/.f64 x y))
▶54.8%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶55.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 117 to 70 computations (40.2% saved)

simplify40.0ms (1.1%)

Memory
22.2MiB live, 22.2MiB 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 (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff0
#s(approx (/ x (+ y x)) #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
328×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
1042779
1154279
1289679
1398879
1499279
1599779
16100279
0100279
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 (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ y x)) (-.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 (+ y x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ x (+ y x)) (-.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

localize122.0ms (3.2%)

Memory
-35.5MiB live, 55.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy0.203125
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
accuracy0
(/.f64 y x)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy28.951631309096552
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy0
(/.f64 x y)
accuracy35.10441227296187
#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy28.77560120230199
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x y)
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (+.f64 x y))
accuracy0.13347626953688402
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
Samples
56.0ms256×0valid
Compiler

Compiled 75 to 15 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 31.0ms (72.3% of total)
ival-div: 9.0ms (21% of total)
ival-mult: 2.0ms (4.7% of total)
ival-sub: 1.0ms (2.3% 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
17.5MiB live, 17.5MiB 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 (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (patch #s(approx (/ x (+ y x)) (-.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>) () ())) ())
#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>) () ())) ())
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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>) () ())) ())
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#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
(/ y x)
0.0ms
y
@-inf
(/ x y)

simplify406.0ms (10.7%)

Memory
20.0MiB live, 316.7MiB 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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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 (-.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 (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 (-.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 (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 y (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 y (*.f64 x (*.f64 x x)))) (/.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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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 (-.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 (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 (-.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 (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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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 (-.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 (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 (-.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 (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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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 (-.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 (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 (-.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 (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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 (*.f64 x x) y) 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 (-.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 (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 (-.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 (fma.f64 x (*.f64 x (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) y)

rewrite224.0ms (5.9%)

Memory
-16.3MiB live, 219.8MiB allocated
Rules
4 786×lower-fma.f64
4 786×lower-fma.f32
3 680×lower-*.f32
3 678×lower-*.f64
3 048×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01665
02467
110659
272259
0829259
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 637
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 (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ x (+ y x)) (-.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 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 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y y)) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x y))))
(+.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x y))) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y y)))
(+.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 (*.f64 (+.f64 x y) (-.f64 y x))) y) (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y y) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(+.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)))))
(+.f64 (*.f64 y (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(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) (neg.f64 (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (neg.f64 (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 x (+.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 y (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 y y) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 y (-.f64 y x)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x (-.f64 x y)) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))))
(fma.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))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y y) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x y))))
(fma.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)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x y)) (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 y y)))
(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)))
(fma.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) y (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 x)))
(neg.f64 (neg.f64 (/.f64 x (+.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 (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))
(/.f64 (neg.f64 (/.f64 x (+.f64 x y))) #s(literal -1 binary64))
(/.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.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 x (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.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 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.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 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (-.f64 x y)) (*.f64 (*.f64 x x) (*.f64 (-.f64 x y) (-.f64 x y)))))) (fma.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y y (*.f64 x (-.f64 y x))))) (fma.f64 y y (*.f64 x (-.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 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(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) (neg.f64 (/.f64 x (+.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 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 x y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (-.f64 y x) (/.f64 x (*.f64 (+.f64 x y) (-.f64 y x))))
(*.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)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (neg.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 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y 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 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 x (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) x)) (-.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64)) (*.f64 x (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 x (-.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 y x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (*.f64 x (-.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1/2 binary64))))
(*.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 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 y x) (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 x (-.f64 y x) (*.f64 y (neg.f64 y))))

eval256.0ms (6.7%)

Memory
-12.7MiB live, 170.6MiB allocated
Compiler

Compiled 23 483 to 1 582 computations (93.3% saved)

prune240.0ms (6.3%)

Memory
-18.6MiB live, 286.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 12811 129
Fresh101
Picked145
Done011
Total1 13061 136
Accuracy
100.0%
Counts
1 136 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 y x))
▶99.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓45.1%
#s(approx (/ x (+ y x)) (/.f64 x y))
✓54.8%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓55.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify5.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
Rules
4×lift-/.f64
4×lower-/.f32
4×lower-+.f32
2×lift-+.f64
2×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11218
01218
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
y
x
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
y
x

localize17.0ms (0.4%)

Memory
21.7MiB live, 21.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy0.44234245218896895
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 4.0ms (79.8% of total)
ival-add: 1.0ms (20% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.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>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 y x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ 1 (+ 1 (/ y x)))
0.0ms
y
@-inf
(/ 1 (+ 1 (/ y x)))
0.0ms
x
@-inf
(/ 1 (+ 1 (/ y x)))
0.0ms
y
@inf
(/ 1 (+ 1 (/ y x)))
0.0ms
y
@-inf
(+ 1 (/ y x))

simplify244.0ms (6.4%)

Memory
26.4MiB live, 428.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 160×lower-fma.f64
15 160×lower-fma.f32
3 708×lower-*.f64
3 708×lower-*.f32
2 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117474
1342456
2872432
33244430
08148414
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x 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 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/ x 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 (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 (-.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 (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 (-.f64 x (/.f64 (*.f64 x x) y)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 x y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 y #s(literal 4 binary64)))) (/.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 (/.f64 y x) (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y 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 (/.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 (/.f64 y x) (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
(/ (+ x y) x)
(/.f64 (+.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 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)

rewrite317.0ms (8.4%)

Memory
-14.5MiB live, 430.8MiB allocated
Rules
3 794×lower-fma.f64
3 794×lower-fma.f32
2 854×lower-*.f64
2 854×lower-*.f32
2 176×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14015
226515
3465215
0890714
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 317
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 y x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (/.f64 (neg.f64 y) x)))
(+.f64 (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (/.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (/.f64 y x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (/.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))))
(-.f64 (/.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))))))
(fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (/.f64 (neg.f64 y) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 y (/.f64 y (*.f64 x x))) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64))) (+.f64 (/.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) (-.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (/.f64 y (*.f64 x x))) (*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) (+.f64 (/.f64 y x) #s(literal -1 binary64)))))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (/.f64 y (*.f64 x x))) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(*.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (exp.f64 (neg.f64 (log1p.f64 (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal -1 binary64))) x)))))
(*.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 y (/.f64 y (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) x)
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 y)) x)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 x (neg.f64 y)))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (neg.f64 (log.f64 (neg.f64 x)))))
(*.f64 (exp.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) x))

eval48.0ms (1.3%)

Memory
0.1MiB live, 98.5MiB allocated
Compiler

Compiled 9 206 to 897 computations (90.3% saved)

prune65.0ms (1.7%)

Memory
18.2MiB live, 107.5MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3890389
Fresh000
Picked011
Done055
Total3896395
Accuracy
100.0%
Counts
395 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 y x))
✓99.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
✓45.1%
#s(approx (/ x (+ y x)) (/.f64 x y))
✓54.8%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓55.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 100 to 47 computations (53% saved)

regimes28.0ms (0.7%)

Memory
-31.7MiB live, 13.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 x (+.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 x (-.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

22.0ms
y
3.0ms
x
3.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Outputs
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
73.3%3x
74.4%3y
97.3%2(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
Outputs
#s(approx (/ x (+ y x)) (/.f64 x y))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
96.5%2(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
55.0%1x
55.0%1y
55.0%1(/.f64 x (+.f64 y x))
Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.018132491729319803
0.6870037870214389
Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.018132491729319803
0.6870037870214389
Compiler

Compiled 10 to 9 computations (10% saved)

simplify8.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB 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 y x))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Outputs
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (+.f64 x y)) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64)))
#s(approx (/ x (+ y x)) #s(literal 1 binary64))

soundness283.0ms (7.5%)

Memory
-24.1MiB live, 215.9MiB allocated
Rules
10 270×lower-fma.f64
10 270×lower-fma.f32
3 632×lower-*.f64
3 632×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124369
1369348
2945318
33730316
08248303
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 64 to 29 computations (54.7% saved)

preprocess30.0ms (0.8%)

Memory
-2.9MiB live, 87.8MiB 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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