Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze50.0ms (1%)

Memory
-27.2MiB live, 12.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample945.0ms (19.1%)

Memory
16.3MiB live, 481.6MiB allocated
Samples
569.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 288.0ms
ival-mult: 152.0ms (52.7% of total)
ival-add: 77.0ms (26.7% of total)
ival-div: 47.0ms (16.3% of total)
ival-true: 6.0ms (2.1% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain93.0ms (1.9%)

Memory
-13.4MiB live, 53.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))o/n260
(*.f64 x y)overflow26
Confusion
Predicted +Predicted -
+260
-0230
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2600
-00230
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.5% of total)
ival-div: 3.0ms (30.4% of total)
ival-add: 3.0ms (30.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess85.0ms (1.7%)

Memory
-10.5MiB live, 29.0MiB allocated
Algorithm
egg-herbie
Rules
486×times-frac
304×unsub-neg
238×distribute-lft-in
228×distribute-lft-neg-in
228×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15037
214535
344335
4119035
5166735
6188235
7193835
8196635
9197035
067
097
1157
2187
3197
0197
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11516
21816
31916
01916
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize52.0ms (1.1%)

Memory
-1.5MiB live, 36.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy6.140359640793
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
46.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 36.0ms (91.6% of total)
ival-mult: 2.0ms (5.1% of total)
ival-add: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify338.0ms (6.8%)

Memory
-9.2MiB live, 182.6MiB allocated
Algorithm
egg-herbie
Rules
9 976×lower-fma.f64
9 976×lower-fma.f32
2 536×lower-*.f64
2 536×lower-*.f32
1 658×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
Stop Event
iter limit
node limit
Counts
60 → 56
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y))))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

rewrite316.0ms (6.4%)

Memory
19.5MiB live, 416.8MiB allocated
Rules
5 518×lower-/.f32
5 516×lower-/.f64
3 256×lower-*.f32
3 254×lower-*.f64
2 620×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13513
220313
3189113
0839613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 336
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(+.f64 (*.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(fma.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 x (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

eval45.0ms (0.9%)

Memory
-1.8MiB live, 116.2MiB allocated
Compiler

Compiled 8 392 to 1 037 computations (87.6% saved)

prune65.0ms (1.3%)

Memory
-19.6MiB live, 175.9MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3884392
Fresh000
Picked011
Done000
Total3885393
Accuracy
100.0%
Counts
393 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
72.6%
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
52.5%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
48.6%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
50.1%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify283.0ms (5.7%)

Memory
12.3MiB live, 494.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
cost-diff704
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 y (neg.f64 y) y)
cost-diff0
(*.f64 x (fma.f64 y (neg.f64 y) y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Rules
16 348×lower-fma.f32
16 344×lower-fma.f64
4 344×lower-*.f32
4 338×lower-*.f64
1 542×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
03298
16698
214898
341898
487098
5403898
0834198
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
x
(fma.f64 y (neg.f64 y) y)
y
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x y)
x
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 y #s(literal -1 binary64))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
x
(fma.f64 y (neg.f64 y) y)
y
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x y)
x
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 y #s(literal -1 binary64))

localize59.0ms (1.2%)

Memory
2.3MiB live, 161.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal -1 binary64))
accuracy0
(*.f64 x y)
accuracy7.218742395194944
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
accuracy10.054191172618166
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 x (/.f64 x y))
accuracy30.40489541933112
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy0
(fma.f64 y (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy4.55800717065602
(*.f64 x (fma.f64 y (neg.f64 y) y))
accuracy32.854951164029586
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
accuracy0
(*.f64 x y)
accuracy31.936801137517353
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Samples
39.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.4% of total)
ival-div: 7.0ms (28.3% of total)
ival-add: 7.0ms (28.3% of total)
ival-sub: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
16.7MiB live, 55.0MiB allocated
Counts
13 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (neg.f64 y) y) (patch (fma.f64 y (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (+ (* -1 x) (* x y))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* -1 (* x (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (/ x (pow y 2))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ x y)
1.0ms
x
@0
(* (/ (* x y) (+ (* y y) -1)) (+ y -1))
1.0ms
x
@0
(* x (+ (* y (neg y)) y))
1.0ms
x
@inf
(* (/ (* x y) (+ (* y y) -1)) (+ y -1))
0.0ms
x
@inf
(- x (/ x y))

simplify260.0ms (5.2%)

Memory
-14.0MiB live, 541.5MiB allocated
Algorithm
egg-herbie
Rules
17 498×lower-fma.f64
17 498×lower-fma.f32
3 508×lower-*.f64
3 508×lower-*.f32
2 942×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301679
14101587
29731539
333041510
083221484
Stop Event
iter limit
node limit
Counts
264 → 251
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
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(* x (+ y (* -1 (pow y 2))))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
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(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
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(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
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(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
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(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
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(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
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(+ x (* -1 (/ x y)))
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(+ x (* -1 (/ x y)))
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(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
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(/ x y)
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(/ x y)
(/ x y)
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(/ x y)
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(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
x
(+ x (* -1 (/ x y)))
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(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
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(+ x (* -1 (/ x y)))
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(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
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(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(/ x y)
(/ (+ x (/ x (pow y 2))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(/ x y)
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-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
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Outputs
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(* x y)
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(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(* x y)
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(* x y)
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(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
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(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 x (-.f64 y (*.f64 y y)))
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(*.f64 x (-.f64 y (*.f64 y y)))
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(*.f64 x (-.f64 y (*.f64 y y)))
(* x y)
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(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 y (*.f64 y (neg.f64 x)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
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(*.f64 x (-.f64 y (*.f64 y y)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
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(-.f64 y (*.f64 y y))
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(-.f64 y (*.f64 y y))
(* -1 y)
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(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
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(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
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(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
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(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (- (* x y) x) y)
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(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
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x
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(/ x y)
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(/ (* x (* y (- y 1))) (- (pow y 2) 1))
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(/ (* x (* y (- y 1))) (- (pow y 2) 1))
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(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x y) (- (pow y 2) 1))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (* -1 (* x (pow y 2)))))
(neg.f64 (*.f64 y (fma.f64 x (*.f64 y y) x)))
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(*.f64 y (*.f64 x (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(*.f64 y (*.f64 (fma.f64 x (*.f64 y y) x) (fma.f64 (*.f64 y y) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))))
(/ x y)
(/.f64 x y)
(/ (+ x (/ x (pow y 2))) y)
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) y)
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

rewrite431.0ms (8.7%)

Memory
0.6MiB live, 522.3MiB allocated
Rules
9 638×lower-fma.f32
9 634×lower-fma.f64
4 566×lower-*.f32
4 560×lower-*.f64
3 708×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02091
03286
113986
2109985
0898085
Stop Event
iter limit
node limit
iter limit
Counts
13 → 999
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 x y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(fma.f64 y (neg.f64 y) y)
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (neg.f64 y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (-.f64 y (*.f64 y y))))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y y) y)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))))
(fma.f64 x y (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 x (*.f64 y (neg.f64 y)) (*.f64 x y))
(fma.f64 y x (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)) (*.f64 x y))
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 x y))
(fma.f64 (*.f64 y (neg.f64 y)) x (*.f64 x y))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x y))
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 x y))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y) (*.f64 x y))
(neg.f64 (*.f64 x (-.f64 (*.f64 y y) y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x)))
(/.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))))
(/.f64 (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))))
(/.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y))) (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))))
(/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))) (neg.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y)))) (fma.f64 y y y))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x)) (fma.f64 y y y))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 y (neg.f64 (fma.f64 x y (neg.f64 x))))
(*.f64 y (+.f64 x (*.f64 x (neg.f64 y))))
(*.f64 y (fma.f64 x (neg.f64 y) x))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 y) (fma.f64 x y (neg.f64 x)))
(*.f64 (-.f64 y (*.f64 y y)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y y) y)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y y) y))
(*.f64 (*.f64 x (neg.f64 y)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))))))
(*.f64 (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))))
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) (neg.f64 y))
(*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))))
(*.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))))
(*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) y) (neg.f64 x))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 y)) x)
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x)) y)
(+.f64 y (*.f64 y (neg.f64 y)))
(+.f64 (*.f64 y (neg.f64 y)) y)
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal -1 binary64) y)))))
(-.f64 y (*.f64 y y))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) y))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (-.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 y (-.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (fma.f64 y y y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y y)))
(-.f64 (+.f64 y #s(literal 0 binary64)) (*.f64 y y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(fma.f64 y (neg.f64 y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)) y)
(fma.f64 (neg.f64 y) y y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))

eval159.0ms (3.2%)

Memory
38.9MiB live, 339.5MiB allocated
Compiler

Compiled 25 859 to 2 364 computations (90.9% saved)

prune190.0ms (3.8%)

Memory
-39.4MiB live, 301.6MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 28221 284
Fresh000
Picked224
Done011
Total1 28451 289
Accuracy
100.0%
Counts
1 289 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
52.5%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
48.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
50.1%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
3.2%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
Compiler

Compiled 41 to 23 computations (43.9% saved)

simplify65.0ms (1.3%)

Memory
-6.3MiB live, 71.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 x (neg.f64 y))
cost-diff0
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
Rules
800×lower-fma.f64
800×lower-fma.f32
536×lower-*.f32
532×lower-*.f64
236×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
02167
13767
26467
312467
423267
541167
673167
7104267
8145567
9161367
10177167
11177667
12177967
13178067
0178067
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x y)
x
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (-.f64 y (*.f64 y y))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 x (-.f64 y (*.f64 y y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x y)
x

localize42.0ms (0.8%)

Memory
5.5MiB live, 82.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.09375
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
accuracy32.854951164029586
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
accuracy0
(/.f64 x (neg.f64 y))
accuracy0
(neg.f64 y)
accuracy30.40489541933112
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
accuracy31.87277288726593
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
Samples
30.0ms256×0valid
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (38.3% of total)
ival-mult: 3.0ms (23% of total)
ival-sub: 2.0ms (15.3% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

42 calls:

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

simplify192.0ms (3.9%)

Memory
23.5MiB live, 253.3MiB allocated
Algorithm
egg-herbie
Rules
11 576×lower-fma.f64
11 576×lower-fma.f32
2 572×lower-*.f64
2 572×lower-*.f32
1 600×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062933
1177873
2415857
31196845
44525845
57342845
08061841
Stop Event
iter limit
node limit
Counts
168 → 162
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 y (*.f64 y (neg.f64 x)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 y (*.f64 y (neg.f64 x)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite183.0ms (3.7%)

Memory
-26.4MiB live, 292.5MiB allocated
Rules
3 742×lower-fma.f64
3 742×lower-fma.f32
3 734×lower-*.f32
3 730×lower-*.f64
3 498×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
02162
18962
259662
0823662
Stop Event
iter limit
node limit
iter limit
Counts
8 → 255
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 x y)
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (/.f64 x y)))
(pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) y)
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (*.f64 y (neg.f64 y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x y))
(fma.f64 x y (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 x (*.f64 y (neg.f64 y)) (*.f64 x y))
(fma.f64 y x (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y))
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 x y))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 x y))
(fma.f64 (*.f64 y (neg.f64 y)) x (*.f64 x y))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 x (neg.f64 y) x)))
(neg.f64 (*.f64 (fma.f64 x (neg.f64 y) x) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 y (neg.f64 y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 y (neg.f64 y))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x y)) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 y (fma.f64 x (neg.f64 y) x))
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (fma.f64 y (neg.f64 y) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x y) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 x (neg.f64 y) x)))
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (neg.f64 y) x) y)
(*.f64 (fma.f64 y (neg.f64 y) y) x)
(*.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 x (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (*.f64 x (-.f64 (*.f64 y y) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (*.f64 (*.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))
(+.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))))
(fma.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
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(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (neg.f64 y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))

eval44.0ms (0.9%)

Memory
19.0MiB live, 100.3MiB allocated
Compiler

Compiled 6 227 to 681 computations (89.1% saved)

prune44.0ms (0.9%)

Memory
6.5MiB live, 83.7MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4170417
Fresh000
Picked022
Done033
Total4175422
Accuracy
100.0%
Counts
422 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
52.5%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
48.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
50.1%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
3.2%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
Compiler

Compiled 94 to 42 computations (55.3% saved)

regimes300.0ms (6%)

Memory
-30.3MiB live, 12.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

293.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
90.4%1x
100.0%3y
99.9%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

2 calls:

2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
99.6%3y
81.5%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Accuracy

Total -31.1b remaining (-97.4%)

Threshold costs -31.1b (-97.4%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
50.1%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
50.1%1x
50.1%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.034124206413234e+269
5.754120239824164e+275
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch28.0ms (0.6%)

Memory
-5.3MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.3504327014530136e-14
111.15303354615206
13.0ms
-7982582.512196257
-2.6480998150238407e-18
Samples
13.0ms336×0valid
Compiler

Compiled 432 to 263 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31% of total)
ival-mult: 2.0ms (31% of total)
ival-add: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated
Algorithm
egg-herbie
Rules
12×+-commutative_binary64
10×*-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02490
13490
24390
34990
45390
55490
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

soundness540.0ms (10.9%)

Memory
-23.6MiB live, 255.7MiB allocated
Rules
9 976×lower-fma.f64
9 976×lower-fma.f32
9 638×lower-fma.f32
9 634×lower-fma.f64
4 566×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02091
03286
113986
2109985
0898085
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 95 to 39 computations (58.9% saved)

preprocess93.0ms (1.9%)

Memory
14.6MiB live, 168.4MiB allocated
Compiler

Compiled 260 to 104 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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