Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.2%)

Memory
7.0MiB live, 7.0MiB 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 7 computations (22.2% saved)

sample968.0ms (19.3%)

Memory
14.2MiB live, 556.2MiB allocated
Samples
618.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-add: 116.0ms (53.6% of total)
ival-div: 52.0ms (24% of total)
ival-sub: 38.0ms (17.6% of total)
ival-true: 6.0ms (2.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain88.0ms (1.8%)

Memory
1.0MiB live, 92.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-(/.f64 (+.f64 x y) (-.f64 x y))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
44.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.1% of total)
ival-div: 3.0ms (32.1% of total)
ival-add: 3.0ms (32.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1.2%)

Memory
-10.1MiB live, 107.3MiB allocated
Algorithm
egg-herbie
Rules
528×times-frac
304×lower-fma.f64
304×lower-fma.f32
250×div-sub
216×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
14137
29635
324935
464235
5139035
6142735
7143135
8149935
9155635
057
087
1117
2167
3227
4317
5547
6907
71297
82137
94397
108437
119707
129727
1310107
1410397
010397
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify26.0ms (0.5%)

Memory
-4.6MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (-.f64 x y))
Rules
304×lower-fma.f64
304×lower-fma.f32
216×times-frac
200×div-sub
176×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11115
21615
32215
43115
55415
69015
712915
821315
943915
1084315
1197015
1297215
13101015
14103915
0103915
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)

localize16.0ms (0.3%)

Memory
-3.3MiB live, 35.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(+.f64 x y)
accuracy0.01953125
(/.f64 (+.f64 x y) (-.f64 x y))
Samples
12.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.7% of total)
ival-add: 2.0ms (29.1% of total)
ival-sub: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- x (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ x y)) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify139.0ms (2.8%)

Memory
22.8MiB live, 174.2MiB allocated
Algorithm
egg-herbie
Rules
11 976×lower-fma.f64
11 976×lower-fma.f32
3 278×lower-*.f64
3 278×lower-*.f32
1 780×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140458
1432439
21258395
35371377
08476347
Stop Event
iter limit
node limit
Counts
72 → 63
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
x
(+ x y)
(+ x y)
(+ x y)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(+ x y)
(+ x y)
(* -1 y)
(- x y)
(- x y)
(- x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)))
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite166.0ms (3.3%)

Memory
1.5MiB live, 238.1MiB allocated
Rules
4 620×lower-*.f64
4 620×lower-*.f32
3 766×lower-fma.f64
3 766×lower-fma.f32
3 010×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13613
227513
3449613
0899013
Stop Event
iter limit
node limit
iter limit
Counts
3 → 463
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)))
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(+.f64 (neg.f64 y) x)
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eval176.0ms (3.5%)

Memory
-14.7MiB live, 199.8MiB allocated
Compiler

Compiled 11 925 to 1 303 computations (89.1% saved)

prune15.0ms (0.3%)

Memory
-28.6MiB live, 48.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5197526
Fresh000
Picked011
Done000
Total5198527
Accuracy
100.0%
Counts
527 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
51.7%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
99.9%
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y)))
49.3%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
52.5%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
48.2%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
51.0%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 121 to 95 computations (21.5% saved)

simplify75.0ms (1.5%)

Memory
23.9MiB live, 63.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
cost-diff0
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
cost-diff0
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (+.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
Rules
960×lower-fma.f32
958×lower-fma.f64
640×lower-*.f64
640×lower-*.f32
518×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02195
03195
14895
27093
310193
418993
535693
659293
798393
8144893
9183893
10207993
11218993
12232793
13233493
14233493
0233493
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
#s(literal 1 binary64)
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 y x)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
x
y
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
x
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 x y))
#s(literal 1 binary64)
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 y x)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
(+.f64 y x)
x
y
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
x
#s(literal -1 binary64)

localize60.0ms (1.2%)

Memory
-24.4MiB live, 94.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -2 binary64) y)
accuracy0.08984375
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
accuracy30.368367307660424
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
accuracy0
(+.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.01953125
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
accuracy30.839286868499816
#s(approx (- x y) (neg.f64 y))
accuracy33.14893827773205
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
accuracy31.355963644769965
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
accuracy0
(-.f64 x y)
accuracy0
(+.f64 y x)
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
accuracy0.02734375
(/.f64 (-.f64 x y) (+.f64 y x))
Samples
48.0ms256×0valid
Compiler

Compiled 81 to 17 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (46.3% of total)
ival-add: 3.0ms (19.8% of total)
ival-sub: 2.0ms (13.2% of total)
ival-mult: 2.0ms (13.2% of total)
ival-neg: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
13 → 288
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -1 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -1 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -1 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -2 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (- x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms
y
@0
((/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (- x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms
x
@inf
((/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (- x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms
y
@-inf
((/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (- x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))
1.0ms
x
@-inf
((/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (- x y) (+ y x) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y))

simplify177.0ms (3.5%)

Memory
-8.2MiB live, 303.9MiB allocated
Algorithm
egg-herbie
Rules
15 340×lower-fma.f64
15 340×lower-fma.f32
2 970×lower-*.f64
2 970×lower-*.f32
2 684×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322428
17342214
222312005
367142005
081111794
Stop Event
iter limit
node limit
Counts
288 → 270
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
x
(+ x y)
(+ x y)
(+ x y)
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
x
(+ x y)
(+ x y)
(+ x y)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -1 y)) y)
(/ (+ (* -2 x) (* -1 y)) y)
(/ (+ (* -2 x) (* -1 y)) y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
-1
(- (/ x y) (+ 1 (* -1 (/ x y))))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
-1
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
-1
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
y
(+ x y)
(+ x y)
(+ x y)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
y
(+ x y)
(+ x y)
(+ x y)
(* -1 y)
(- x y)
(- x y)
(- x y)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
(- (* -2 (/ x y)) 1)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(* -2 (/ x y))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(/ (+ (* -2 x) (* -1 y)) y)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/ (+ (* -2 x) (* -1 y)) y)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/ (+ (* -2 x) (* -1 y)) y)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ x y) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2)))))
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(-.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) y)) y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64))
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64))
(* -2 (/ x y))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))

rewrite240.0ms (4.8%)

Memory
10.9MiB live, 253.8MiB allocated
Rules
5 350×lower-fma.f32
5 348×lower-fma.f64
4 906×lower-*.f64
4 906×lower-*.f32
4 118×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184
03182
112382
284482
0872282
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 011
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(+.f64 y x)
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
(+.f64 x y)
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) y)
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x)))
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(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -2 binary64) y)) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval243.0ms (4.8%)

Memory
11.8MiB live, 269.7MiB allocated
Compiler

Compiled 25 729 to 2 884 computations (88.8% saved)

prune56.0ms (1.1%)

Memory
8.0MiB live, 97.5MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1 27921 281
Fresh112
Picked055
Done011
Total1 28091 289
Accuracy
100.0%
Counts
1 289 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
51.7%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
49.3%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
52.5%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
48.2%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
51.0%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 63 to 55 computations (12.7% saved)

simplify62.0ms (1.2%)

Memory
-11.9MiB live, 59.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 y x))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
cost-diff0
(/.f64 x (-.f64 x y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 y (-.f64 x y))
cost-diff896
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
Rules
736×lower-fma.f32
734×lower-fma.f64
480×lower-*.f32
478×lower-*.f64
364×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02088
03288
14987
28186
314486
428778
569678
6122978
7146878
8168078
9170778
10172978
11174178
0174178
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(literal 1 binary64)
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(-.f64 y x)
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(literal 1 binary64)
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(/.f64 y (-.f64 x y))
y
(-.f64 x y)
x
(/.f64 x (-.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 x y))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 (-.f64 x y) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
#s(literal -1 binary64)
(+.f64 y x)
y
x
(-.f64 y x)

localize57.0ms (1.1%)

Memory
13.9MiB live, 99.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
accuracy0.01953125
(/.f64 #s(literal -1 binary64) (+.f64 y x))
accuracy0.154628759768442
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
accuracy0
(-.f64 x y)
accuracy0.0078125
(/.f64 x (-.f64 x y))
accuracy0.015625
(/.f64 y (-.f64 x y))
accuracy0.03515625
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0.109375
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
accuracy32.41976407282409
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
Samples
46.0ms256×0valid
Compiler

Compiled 84 to 21 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 16.0ms (51.7% of total)
ival-add: 8.0ms (25.9% of total)
ival-mult: 3.0ms (9.7% of total)
ival-sub: 2.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
-0.1MiB live, 37.9MiB allocated
Counts
11 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ 1 x) (/ y (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 y) y) x))) (taylor -inf x) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) (taylor -inf x) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) (taylor -inf x) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ y x))) (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ y x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@0
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x))
2.0ms
x
@inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x))
2.0ms
y
@inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x))
1.0ms
x
@0
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x))
1.0ms
x
@-inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x))

simplify278.0ms (5.5%)

Memory
-28.0MiB live, 284.4MiB allocated
Algorithm
egg-herbie
Rules
12 220×lower-fma.f64
12 220×lower-fma.f32
3 700×lower-*.f64
3 700×lower-*.f32
2 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05182668
116752403
248882257
083222068
Stop Event
iter limit
node limit
Counts
252 → 243
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (/ y x))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* -2 (/ y x)))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(/ -1 x)
(- (/ y (pow x 2)) (/ 1 x))
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
x
(+ x y)
(+ x y)
(+ x y)
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (* -1 (/ (- x (* -1 x)) y))) 1)
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (+ (* -1 (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (* -1 (/ (- x (* -1 x)) y)))) 1)
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1)
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1)
(/ -1 y)
(/ (- (/ x y) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
-1
(- (* -2 (/ x y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
-1
(- (* -1 (/ x y)) 1)
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (/ x y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
-1
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(/ -1 y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 2 (/ y x))
(/ (+ x (* 2 y)) x)
(/ (+ x (* 2 y)) x)
(/ (+ x (* 2 y)) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* -1 (/ x y)) 1)
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
(* -1 (/ x y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
-1
(- (* 2 (/ x y)) 1)
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(/ -1 y)
(- (/ x (pow y 2)) (/ 1 y))
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
y
(+ x y)
(+ x y)
(+ x y)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(/ y x)
(/ (+ y (/ (pow y 2) x)) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (* -1 (/ (- (* -1 y) y) x))))
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (+ (* -1 (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3))) (* -1 (/ (- (* -1 y) y) x)))))
1
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(/ -1 x)
(/ (- (/ y x) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
1
(+ 1 (/ y x))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(- (+ 1 (* -1 (/ y x))) (/ y x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(/ -1 x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ y (pow x 2))))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))
(+.f64 (fma.f64 (/.f64 (/.f64 y x) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x))
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 y x) x)) y (/.f64 y x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 y x) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ y x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ y (pow x 2)) (/ 1 x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x)
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y)))
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y))
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* y (- (/ x y) 1))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 x (/.f64 x y) x) (neg.f64 y))
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(-.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 x (/.f64 x y) x) y))
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(/.f64 (-.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y)) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (* -1 (/ (- x (* -1 x)) y))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (+ (* -1 (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (* -1 (/ (- x (* -1 x)) y)))) 1)
(-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) x) y))) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (/ x y) 1) y)
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y)
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (/.f64 x y) (neg.f64 x)) y)) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(fma.f64 (/.f64 x y) y (neg.f64 y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(/.f64 (fma.f64 x (/.f64 x y) x) (neg.f64 y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(-.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 (fma.f64 x (/.f64 x y) x) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 x) x) y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) x (*.f64 #s(literal -2 binary64) x)) y))
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) x (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) x) x) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (* -1 (/ x y))) y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal -1 binary64)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 x y))
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (/.f64 x y) x) y))
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) y)) x #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 x y) x) (neg.f64 y))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1 binary64) y)) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (/ x (pow y 2)) (/ 1 y))
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y)
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
(/ y x)
(/.f64 y x)
(/ (+ y (/ (pow y 2) x)) x)
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x)
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x)) y) x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (* -1 (/ (- (* -1 y) y) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (+ (* -1 (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3))) (* -1 (/ (- (* -1 y) y) x)))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- y (* -1 y)) x)))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ y x) 1) x)
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x)
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) x)) x)) x))
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 y (/.f64 y x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x)
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) x)) x)) x))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ y x))) (/ y x))
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) y (*.f64 y #s(literal 2 binary64))) x))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x)) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* -1 (/ y x))) x))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x)) x)) x) #s(literal -1 binary64)) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)

rewrite418.0ms (8.3%)

Memory
7.9MiB live, 181.6MiB allocated
Rules
5 638×lower-*.f32
5 636×lower-*.f64
4 972×lower-/.f32
4 962×lower-/.f64
3 720×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02075
03275
114767
2132667
0825267
Stop Event
iter limit
node limit
iter limit
Counts
11 → 688
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 y (-.f64 x y))
(-.f64 x y)
(/.f64 x (-.f64 x y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (+.f64 y x))
(+.f64 y x)
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (+.f64 y x))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)

eval236.0ms (4.7%)

Memory
0.3MiB live, 238.3MiB allocated
Compiler

Compiled 20 129 to 2 495 computations (87.6% saved)

prune45.0ms (0.9%)

Memory
-7.5MiB live, 70.6MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New9882990
Fresh000
Picked123
Done066
Total98910999
Accuracy
100.0%
Counts
999 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
51.7%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
99.7%
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
49.3%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
52.5%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
3.4%
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
48.2%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
51.0%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 69 to 64 computations (7.2% saved)

simplify44.0ms (0.9%)

Memory
6.6MiB live, 45.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 x y))
cost-diff0
(+.f64 y x)
cost-diff0
(neg.f64 (+.f64 y x))
cost-diff448
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
cost-diff0
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
cost-diff0
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
Rules
560×lower-fma.f64
560×lower-fma.f32
368×lower-*.f32
364×lower-*.f64
332×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02073
02773
14572
28470
321170
440370
566970
6144870
7166870
8173370
9176970
10178870
0178868
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(neg.f64 (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 #s(literal -1 binary64) (-.f64 x y))
#s(literal -1 binary64)
(-.f64 x y)
Outputs
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(neg.f64 (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 #s(literal -1 binary64) (-.f64 x y))
#s(literal -1 binary64)
(-.f64 x y)

localize41.0ms (0.8%)

Memory
1.0MiB live, 81.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
(neg.f64 (+.f64 y x))
accuracy0.0234375
(/.f64 #s(literal -1 binary64) (-.f64 x y))
accuracy0.158535009768442
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0.2109375
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
accuracy30.594439871864527
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
accuracy32.41976407282409
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
Samples
32.0ms256×0valid
Compiler

Compiled 55 to 17 computations (69.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (48.6% of total)
ival-add: 4.0ms (21.6% of total)
ival-mult: 3.0ms (16.2% of total)
ival-sub: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-4.4MiB live, 31.8MiB allocated
Counts
8 → 180
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 2 (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ y x)) 1)) (taylor inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ y x)) 1)) (taylor inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1 (/ y x)) 1)) (taylor inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ y x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 y) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ y x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y)))
1.0ms
x
@-inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y)))
1.0ms
y
@inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y)))
1.0ms
x
@inf
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y)))
1.0ms
x
@0
((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y)))

simplify163.0ms (3.2%)

Memory
2.7MiB live, 211.5MiB allocated
Algorithm
egg-herbie
Rules
10 898×lower-fma.f64
10 898×lower-fma.f32
3 378×lower-*.f64
3 378×lower-*.f32
2 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671425
18281334
223511219
373711211
082311126
Stop Event
iter limit
node limit
Counts
180 → 174
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -1 x)
(- (* -1 y) x)
(- (* -1 y) x)
(- (* -1 y) x)
x
(+ x y)
(+ x y)
(+ x y)
(/ -1 x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(* -1 y)
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(/ 1 y)
(/ (+ 1 (/ x y)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
-1
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
-1
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (* x (- (* -1 x) x)) y))) y)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* x (- (* -1 x) x)) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)) 1)
(* -1 y)
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
(* -1 (* y (+ 1 (/ x y))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ 1 y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* 2 (/ y x))
(/ (+ x (* 2 y)) x)
(/ (+ x (* 2 y)) x)
(/ (+ x (* 2 y)) x)
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
-1
(- (* -2 (/ x y)) 1)
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(* -1 y)
(- (* -1 x) y)
(- (* -1 x) y)
(- (* -1 x) y)
y
(+ x y)
(+ x y)
(+ x y)
(/ 1 y)
(+ (/ 1 y) (/ x (pow y 2)))
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ y x)) 1))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(/ -1 x)
(/ (- (* -1 (/ y x)) 1) x)
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
1
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
1
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(+ 1 (* 2 (/ y x)))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
1
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x)))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x)))
(* -1 x)
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (/ y x))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(/ -1 x)
(* -1 (/ (+ 1 (/ y x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(- (* -1 y) x)
(-.f64 (neg.f64 y) x)
(- (* -1 y) x)
(-.f64 (neg.f64 y) x)
(- (* -1 y) x)
(-.f64 (neg.f64 y) x)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ y (pow x 2))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x))
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y))))
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (/ x y)) 1))
(-.f64 (neg.f64 y) x)
(* y (- (* -1 (/ x y)) 1))
(-.f64 (neg.f64 y) x)
(* y (- (* -1 (/ x y)) 1))
(-.f64 (neg.f64 y) x)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ x y)) y)
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y)
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- x (* -1 x)) y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) x x)) y)) y) #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* y (+ (* 2 (/ 1 x)) (/ 1 y)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ x y)) (+ 1 (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (* x (- (* -1 x) x)) y))) y)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* x (- (* -1 x) x)) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) x x)) y)) y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ x y))))
(-.f64 (neg.f64 y) x)
(* -1 (* y (+ 1 (/ x y))))
(-.f64 (neg.f64 y) x)
(* -1 (* y (+ 1 (/ x y))))
(-.f64 (neg.f64 y) x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ x y)) 1) y))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y))
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) x) y) #s(literal 1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(/ (+ x (* 2 y)) x)
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 (/ x y)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(- (* -1 x) y)
(-.f64 (neg.f64 y) x)
(- (* -1 x) y)
(-.f64 (neg.f64 y) x)
(- (* -1 x) y)
(-.f64 (neg.f64 y) x)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ x (pow y 2)))
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
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(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
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(-.f64 (neg.f64 y) x)
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(-.f64 (neg.f64 y) x)
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(-.f64 (neg.f64 y) x)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
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(+.f64 x y)
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(+.f64 x y)
(/ -1 x)
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(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x)
1
#s(literal 1 binary64)
(- (+ 1 (/ y x)) (* -1 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* 2 (/ y x))
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(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
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(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 y) y) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ y x))))
(-.f64 (neg.f64 y) x)
(* -1 (* x (+ 1 (/ y x))))
(-.f64 (neg.f64 y) x)
(* -1 (* x (+ 1 (/ y x))))
(-.f64 (neg.f64 y) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ y x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite200.0ms (4%)

Memory
13.8MiB live, 212.2MiB allocated
Rules
4 782×lower-*.f32
4 778×lower-*.f64
4 770×lower-fma.f64
4 770×lower-fma.f32
3 914×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02064
02764
110561
275061
0864559
Stop Event
iter limit
node limit
iter limit
Counts
8 → 626
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(/.f64 #s(literal 2 binary64) x)
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(neg.f64 (+.f64 y x))
(+.f64 y x)
(/.f64 #s(literal -1 binary64) (-.f64 x y))
Outputs
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) x)
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x)
(/.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) y) x)
(/.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(/.f64 y (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) y))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (-.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 x y)) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 y x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (-.f64 y x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (+.f64 y x))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 y x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (neg.f64 (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 (+.f64 y x)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))))
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(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (+.f64 y x))))
(+.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 y #s(literal -1 binary64))))
(+.f64 (+.f64 #s(literal 0 binary64) y) x)
(+.f64 (+.f64 #s(literal 0 binary64) x) y)
(+.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(+.f64 y x)
(+.f64 x y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (+.f64 y x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (+.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (+.f64 y x))
(*.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (neg.f64 y) (neg.f64 (+.f64 y x)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(pow.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (-.f64 y x))
(neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x))))
(fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x))))

eval245.0ms (4.9%)

Memory
11.6MiB live, 206.2MiB allocated
Compiler

Compiled 15 743 to 2 014 computations (87.2% saved)

prune57.0ms (1.1%)

Memory
-7.0MiB live, 67.7MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New8000800
Fresh000
Picked022
Done088
Total80010810
Accuracy
100.0%
Counts
810 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (-.f64 x y))
51.7%
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
99.7%
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
49.3%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
52.5%
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
3.4%
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
48.2%
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
51.0%
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Compiler

Compiled 172 to 105 computations (39% saved)

regimes84.0ms (1.7%)

Memory
-33.2MiB live, 24.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y)))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

76.0ms
y
4.0ms
x
3.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
y
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
77.4%3x
77.1%3y
98.9%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
Outputs
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
Outputs
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y)))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

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

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))
Outputs
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
97.6%2(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory
-29.6MiB live, 8.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
51.0%1y
51.0%1x
51.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999701522668917
0.9999999311809475
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999701522668917
0.9999999311809475
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999701522668917
0.9999999311809475
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999701522668917
0.9999999311809475
Compiler

Compiled 10 to 10 computations (0% saved)

simplify38.0ms (0.8%)

Memory
14.3MiB live, 52.0MiB allocated
Algorithm
egg-herbie
Rules
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
1-exp-binary32-exp.f32
*-commutative-binary64-*.f64
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029144
136144
239144
340144
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)))
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64))

soundness418.0ms (8.3%)

Memory
-6.8MiB live, 230.3MiB allocated
Rules
11 976×lower-fma.f64
11 976×lower-fma.f32
3 278×lower-*.f64
3 278×lower-*.f32
1 780×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140458
1432439
21258395
35371377
08476347
Stop Event
done
iter limit
node limit
Compiler

Compiled 114 to 64 computations (43.9% saved)

preprocess46.0ms (0.9%)

Memory
34.4MiB live, 108.9MiB allocated
Compiler

Compiled 210 to 78 computations (62.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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