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

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.5%)

Memory
-11.2MiB live, 27.0MiB 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)

sample543.0ms (17%)

Memory
20.7MiB live, 639.5MiB allocated
Samples
363.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-div: 64.0ms (50.8% of total)
ival-add: 54.0ms (42.9% of total)
ival-true: 5.0ms (4% of total)
ival-assert: 3.0ms (2.4% of total)
Bogosity

explain42.0ms (1.3%)

Memory
8.9MiB live, 46.8MiB 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
17.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.2% of total)
ival-add: 3.0ms (44.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (0.8%)

Memory
-21.1MiB live, 24.0MiB 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))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB 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))
x
(+.f64 y x)
y

localize12.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.015625
(/.f64 x (+.f64 y x))
Samples
8.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (60.8% of total)
ival-add: 1.0ms (30.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-30.2MiB live, 6.7MiB 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 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 (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 (/ 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 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 (/ 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 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 (/ 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 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 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 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 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 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

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((/ x (+ y x)) (+ y x))
1.0ms
y
@-inf
((/ x (+ y x)) (+ y x))
1.0ms
x
@inf
((/ x (+ y x)) (+ y x))
0.0ms
x
@-inf
((/ x (+ y x)) (+ y x))
0.0ms
x
@0
((/ x (+ y x)) (+ y x))

simplify153.0ms (4.8%)

Memory
30.3MiB live, 218.8MiB allocated
Algorithm
1×egg-herbie
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
3 612×lower-*.f64
3 612×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite204.0ms (6.4%)

Memory
-29.6MiB live, 337.4MiB 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 (pow.f64 (/.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 (hypot.f64 y x) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y x))
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))
(*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (hypot.f64 y x) (*.f64 y x)))))
(*.f64 (*.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))))
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))))
(*.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (*.f64 (-.f64 y x) x) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(*.f64 (pow.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y x) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (neg.f64 x) y)))
(*.f64 (-.f64 y x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x)))
(*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 y x) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 y x) x) (/.f64 (+.f64 y x) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 #s(literal 0 binary64) (+.f64 y x)) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 y x)) (/.f64 x (-.f64 (neg.f64 x) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 (neg.f64 x) y)) (/.f64 x (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 (neg.f64 x) y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))) (*.f64 (*.f64 y (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))) (*.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) y) (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) y) (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 x)) (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 x))) (*.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) y) (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) (-.f64 (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x))) (*.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 y y)) (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 x y) x))))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (hypot.f64 y x) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 (neg.f64 x) y))
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(/.f64 (neg.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) (*.f64 (-.f64 (neg.f64 x) y) x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x))
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(/.f64 (*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x)) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) y x)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 x) y))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 y x) (*.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (neg.f64 (*.f64 y y)) (pow.f64 (fma.f64 #s(literal -1 binary64) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) (*.f64 x x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 y x) (hypot.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 y x) (hypot.f64 y x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) y x)) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x)))) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))))
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -1 binary64) y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (hypot.f64 y x) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 y x) (*.f64 y x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x))))
(-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) y x)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(-.f64 x (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) x)
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval40.0ms (1.3%)

Memory
31.5MiB live, 74.0MiB allocated
Compiler

Compiled 8 005 to 1 059 computations (86.8% saved)

prune26.0ms (0.8%)

Memory
-10.2MiB live, 27.5MiB 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
55.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 y x)))
✓100.0%
(/.f64 x (+.f64 y x))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
▶99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
▶53.7%
#s(approx (/ x (+ y x)) (/.f64 x y))
▶47.3%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
▶48.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 103 to 80 computations (22.3% saved)

simplify53.0ms (1.6%)

Memory
-6.3MiB live, 29.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) 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
(neg.f64 x)
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
Rules
336×lower-fma.f64
336×lower-fma.f32
256×div-sub
240×lower-*.f32
238×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01883
02784
14182
26578
310278
423378
548178
696878
7108178
8116278
9122278
10122678
0122678
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(neg.f64 x)
#s(approx (/ x (+ 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 x (+.f64 x y))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 x y))
#s(literal -1 binary64)
(+.f64 y x)
(+.f64 x y)
y
x
(neg.f64 x)
#s(approx (/ x (+ 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 x (+.f64 x y))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) x)
(/.f64 (+.f64 x y) x)
(+.f64 y x)
(+.f64 x y)
y
x

localize69.0ms (2.2%)

Memory
-8.5MiB live, 73.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.01953125
(/.f64 (+.f64 y x) x)
accuracy0.4267159346213317
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
accuracy0
(/.f64 y x)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy33.75062341517017
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
accuracy0
(/.f64 x y)
accuracy29.609024910959405
#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy33.26851723599983
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
accuracy0
(+.f64 y x)
accuracy0
(neg.f64 x)
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy0.1796875
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
Samples
49.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 32.0ms (83.9% of total)
ival-mult: 2.0ms (5.2% of total)
ival-sub: 1.0ms (2.6% of total)
ival-add: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.5%)

Memory
27.8MiB live, 27.8MiB allocated
Counts
12 → 276
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation:binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation:binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (+ 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) #<representation:binary64>) () ())
#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation:binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
#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 y x)) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) #<representation:binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms
y
@inf
((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms
y
@-inf
((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms
x
@inf
((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))
1.0ms
y
@0
((* (/ -1 (+ y x)) (neg x)) (/ -1 (+ y x)) (+ y x) (neg x) (/ x (+ y x)) (/ x (+ y x)) (/ x y) (/ x (+ y x)) (- 1 (/ y x)) (/ y x) (/ 1 (/ (+ y x) x)) (/ (+ y x) x))

simplify256.0ms (8%)

Memory
-21.5MiB live, 210.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 756×lower-fma.f64
10 756×lower-fma.f32
3 536×lower-*.f64
3 536×lower-*.f32
2 064×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982260
16032057
215511955
356731945
084301854
Stop Event
1×iter limit
1×node limit
Counts
276 → 270
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ -1 y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(+ x y)
(+ x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ 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 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 y x) (*.f64 x x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (*.f64 x x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) y) x #s(literal -1 binary64)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (fma.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x) x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 y x) (*.f64 x x))
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 y x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
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)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (-.f64 y x) (*.f64 x x)) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))

rewrite297.0ms (9.3%)

Memory
-21.5MiB live, 223.0MiB allocated
Rules
3 766×lower-fma.f64
3 766×lower-fma.f32
3 182×lower-*.f32
3 180×lower-*.f64
2 692×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01868
02769
19363
258963
3700063
0873863
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 718
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(+.f64 y x)
(neg.f64 x)
#s(approx (/ x (+ 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
Outputs
(*.f64 (/.f64 x (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 y #s(literal -1 binary64) x))
(*.f64 (/.f64 x (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (fma.f64 y #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x y)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 x y) (*.f64 x y)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 y x) x))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (-.f64 y x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (-.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) x)
(*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
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(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 y (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(-.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) x)) (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) x)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) x) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 (neg.f64 x) y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 x) y) x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 y x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (/.f64 y x))
(+.f64 (*.f64 x (pow.f64 x #s(literal -1 binary64))) (/.f64 y x))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 y x))
(+.f64 (/.f64 y x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(+.f64 (/.f64 y x) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 y x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))

eval267.0ms (8.4%)

Memory
7.8MiB live, 202.8MiB allocated
Compiler

Compiled 16 200 to 2 011 computations (87.6% saved)

prune82.0ms (2.6%)

Memory
-10.7MiB live, 64.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 09311 094
Fresh101
Picked145
Done011
Total1 09561 101
Accuracy
100.0%
Counts
1 101 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 y x))
▶99.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
✓99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
✓53.7%
#s(approx (/ x (+ y x)) (/.f64 x y))
✓47.3%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓48.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 33 to 33 computations (0% saved)

simplify4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01336
11836
21936
01936
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
x
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
y
x
#s(literal -1 binary64)

localize20.0ms (0.6%)

Memory
19.2MiB live, 19.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0
(-.f64 (/.f64 y x) #s(literal -1 binary64))
accuracy0
#s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
accuracy0.4267159346213317
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
Samples
14.0ms256×0valid
Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (66.3% of total)
ival-sub: 1.0ms (13.3% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series56.0ms (1.7%)

Memory
-30.3MiB live, 8.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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 (/ x y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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 (/ x y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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 (/ x y) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (+ x y) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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 1 (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<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) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) (patch #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 y x) #s(literal -1 binary64)) #<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

6 calls:

TimeVariablePointExpression
50.0ms
x
@inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (- (/ y x) -1) (/ y x))
1.0ms
x
@-inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (- (/ y x) -1) (/ y x))
1.0ms
y
@-inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (- (/ y x) -1) (/ y x))
1.0ms
y
@inf
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (- (/ y x) -1) (/ y x))
0.0ms
y
@0
((/ 1 (/ (+ y x) x)) (/ (+ y x) x) (- (/ y x) -1) (/ y x))

simplify287.0ms (9%)

Memory
19.3MiB live, 172.7MiB 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
0117576
1342558
2872534
33238532
08140516
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
1
(+ 1 (/ 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)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ y 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)
(/ y x)
(/ y x)
(/ y x)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ 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)
(/ 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)))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
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)
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))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ 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 (/.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))))
(fma.f64 (/.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ 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 y) x)) y)
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) x (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(fma.f64 (/.f64 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)))
(fma.f64 (/.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(fma.f64 (/.f64 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)))
(fma.f64 (/.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite273.0ms (8.5%)

Memory
5.6MiB live, 222.0MiB allocated
Rules
4 010×lower-fma.f64
4 010×lower-fma.f32
3 532×lower-*.f64
3 532×lower-*.f32
2 110×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01332
16232
241232
3560732
0869232
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 246
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
#s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 y x)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(exp.f64 (fma.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1/2 binary64) (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)))))
(*.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))
(*.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))
#s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))
(/.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (/ (+ y x) x) (/.f64 (+.f64 x y) x))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (hypot.f64 x y) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 x y))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (hypot.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (hypot.f64 (pow.f64 (/.f64 x y) #s(literal -3/2 binary64)) (/.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 x y) x))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) x) (/.f64 (+.f64 x y) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 x y))
(*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x y) x) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x y) x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x y) x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (*.f64 (-.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 x y))
(*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (+.f64 x y) (*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (hypot.f64 x y) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) #s(literal -1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) x))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) x)))
(*.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 x y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) x))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 y x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (hypot.f64 x y) (*.f64 x y)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (+.f64 x y)) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) x)
(/.f64 (pow.f64 (/.f64 x (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (-.f64 (hypot.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (-.f64 (hypot.f64 x y) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (-.f64 (hypot.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 x #s(literal -1 binary64))) (-.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal -9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x)) (-.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (-.f64 (hypot.f64 x y) (*.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -6 binary64)) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))))))
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(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (neg.f64 x) y))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))

eval61.0ms (1.9%)

Memory
-11.0MiB live, 98.9MiB allocated
Compiler

Compiled 5 504 to 1 047 computations (81% saved)

prune11.0ms (0.4%)

Memory
-16.0MiB live, 28.6MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New3420342
Fresh000
Picked011
Done055
Total3426348
Accuracy
100.0%
Counts
348 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 x (+.f64 y x))
✓99.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
✓99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))
✓53.7%
#s(approx (/ x (+ y x)) (/.f64 x y))
✓47.3%
#s(approx (/ x (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓48.0%
#s(approx (/ x (+ y x)) #s(literal 1 binary64))
Compiler

Compiled 95 to 60 computations (36.8% saved)

regimes10.0ms (0.3%)

Memory
29.8MiB live, 29.8MiB 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 y x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ y x) x) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y x)) (*.f64 (-.f64 (neg.f64 x) y) (neg.f64 x))) (*.f64 (-.f64 (neg.f64 x) y) (+.f64 y x)))
Outputs
(/.f64 x (+.f64 y x))
Calls

3 calls:

3.0ms
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 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.2%)

Memory
-19.3MiB live, 17.7MiB 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:

3.0ms
(/.f64 x (+.f64 y x))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.8%3x
80.2%3y
98.8%2(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes2.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB 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
98.4%2(/.f64 x (+.f64 y x))
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB 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
x
1.0ms
y
1.0ms
(/.f64 x (+.f64 y x))
Results
AccuracySegmentsBranch
48.0%1x
48.0%1y
48.0%1(/.f64 x (+.f64 y x))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.32260226094273803
0.999999845881915
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.32260226094273803
0.999999845881915
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify50.0ms (1.6%)

Memory
-16.9MiB live, 60.5MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative-binary64-+.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
6×*-commutative-binary64-*.f64
6×neg-sub0-binary64--.f64-neg.f64
6×neg-mul-1-binary64-*.f64-neg.f64
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 1/2 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 1/2 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))
(if (<=.f64 (/.f64 x (+.f64 y x)) #s(literal 1/2 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 1/2 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))

soundness262.0ms (8.2%)

Memory
-15.6MiB live, 194.2MiB allocated
Rules
10 194×lower-fma.f64
10 194×lower-fma.f32
3 612×lower-*.f64
3 612×lower-*.f32
2 202×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 52 to 32 computations (38.5% saved)

preprocess32.0ms (1%)

Memory
14.1MiB live, 53.5MiB allocated
Compiler

Compiled 88 to 38 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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