Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (17.1%)

Memory
37.5MiB live, 1 179.2MiB allocated
Samples
840.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 604.0ms
ival-mult: 235.0ms (38.9% of total)
const: 186.0ms (30.8% of total)
ival-sub: 123.0ms (20.3% of total)
ival-add: 44.0ms (7.3% of total)
exact: 8.0ms (1.3% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain200.0ms (2.8%)

Memory
-15.3MiB live, 145.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
00-0-(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
00-0-#s(literal 918938533204673/1000000000000000 binary64)
00-0-(*.f64 x (-.f64 y #s(literal 1 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
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
113.0ms512×0valid
Compiler

Compiled 89 to 34 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
const: 70.0ms (82.8% of total)
ival-mult: 6.0ms (7.1% of total)
ival-sub: 5.0ms (5.9% of total)
ival-add: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess210.0ms (3%)

Memory
-1.3MiB live, 74.1MiB allocated
Algorithm
1×egg-herbie
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
670×sub-neg
472×unsub-neg
462×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461
17559
219655
361749
4151245
5280545
6339445
7351145
8353145
9353345
10353545
11355545
01011
01511
13011
25811
31169
42189
54479
68529
712529
814899
915109
015108
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify54.0ms (0.8%)

Memory
4.3MiB live, 38.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff320
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Rules
1 376×lower-fma.f64
1 376×lower-fma.f32
352×lower-+.f32
352×lower--.f32
350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01536
13036
25836
311632
421832
544732
685232
7125232
8148932
9151032
0151031
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
x
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

localize63.0ms (0.9%)

Memory
-20.2MiB live, 27.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy0.00390625
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy0.00390625
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy0.01171875
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Samples
54.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sub: 27.0ms (74.5% of total)
const: 5.0ms (13.8% of total)
ival-mult: 3.0ms (8.3% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- y 1)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* -1/2 (/ y x))) 1)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* -1 (/ x y))) 1/2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) (patch (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x y)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (/ x y)))) (taylor inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ x y)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(* y 1/2)
1.0ms
x
@inf
(- (* x (- y 1)) (* y 1/2))
1.0ms
y
@0
(- (* x (- y 1)) (* y 1/2))
0.0ms
x
@0
(- (* x (- y 1)) (* y 1/2))
0.0ms
y
@-inf
(- (* x (- y 1)) (* y 1/2))

simplify237.0ms (3.4%)

Memory
14.3MiB live, 201.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
3 162×lower-*.f64
3 162×lower-*.f32
1 298×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

rewrite414.0ms (5.9%)

Memory
-6.7MiB live, 285.2MiB allocated
Rules
7 498×lower-fma.f64
7 498×lower-fma.f32
4 788×lower-*.f32
4 784×lower-*.f64
3 354×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
01531
16931
252031
3772031
0824928
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 384
Calls
Call 1
Inputs
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
Outputs
(+.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(+.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 x))
(-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x))))
(-.f64 (/.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))))
(-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (/.f64 x (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x y (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 x y (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 y x (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y x (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 x y (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) x) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x) (*.f64 y #s(literal -1/2 binary64)))
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eval100.0ms (1.4%)

Memory
-1.5MiB live, 111.2MiB allocated
Compiler

Compiled 15 602 to 1 357 computations (91.3% saved)

prune174.0ms (2.5%)

Memory
-7.1MiB live, 148.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4717478
Fresh000
Picked101
Done000
Total4727479
Accuracy
100.0%
Counts
479 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(+.f64 (fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
76.7%
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
▶52.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶49.7%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
▶100.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
▶53.6%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶48.2%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
Compiler

Compiled 144 to 90 computations (37.5% saved)

simplify72.0ms (1%)

Memory
17.0MiB live, 60.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) x)
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
cost-diff0
(+.f64 #s(literal -1/2 binary64) x)
cost-diff0
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
cost-diff0
(-.f64 #s(literal 1/2 binary64) x)
cost-diff0
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
Rules
1 376×lower-fma.f32
1 372×lower-fma.f64
352×lower-+.f32
352×lower--.f32
350×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025139
036142
169136
2114130
3246124
4603124
51102124
61414124
71590124
81612124
01612124
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
y
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
y
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 x y (neg.f64 x)))
(-.f64 (*.f64 y x) x)
(fma.f64 x y (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
y
x

localize98.0ms (1.4%)

Memory
4.2MiB live, 82.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.0078125
(-.f64 (*.f64 y x) x)
accuracy32.20211801890155
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
accuracy0
(+.f64 #s(literal -1/2 binary64) x)
accuracy0.01171875
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
accuracy33.148759506658564
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
accuracy0
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy30.71644301994563
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy29.691665697096262
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy0
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
accuracy0
(-.f64 #s(literal 1/2 binary64) x)
accuracy0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
accuracy0.00390625
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Samples
52.0ms256×0valid
Compiler

Compiled 114 to 24 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 22.0ms (56.6% of total)
ival-sub: 7.0ms (18% of total)
ival-add: 4.0ms (10.3% of total)
const: 4.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-13.9MiB live, 24.4MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (patch (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) x) (patch (-.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (patch (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1/2 binary64) x) (patch (+.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 y x) x) (patch (-.f64 (*.f64 y x) x) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* y (+ -1/2 x))
0.0ms
y
@-inf
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms
y
@0
(* y (+ -1/2 x))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms
y
@inf
(* y (+ -1/2 x))

simplify269.0ms (3.8%)

Memory
-0.1MiB live, 180.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 524×lower-fma.f64
10 524×lower-fma.f32
2 438×lower-*.f64
2 438×lower-*.f32
1 024×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271951
14181951
211671735
334651735
469141735
080341594
Stop Event
1×iter limit
1×node limit
Counts
288 → 285
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* -1 (* y (- 1/2 x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
x
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(* y (- 1/2 x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- 1/2 x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* 1/2 y)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
1/2
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(+ 1/2 (* -1 x))
(* -1 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (* 1/2 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite412.0ms (5.9%)

Memory
-4.4MiB live, 305.0MiB allocated
Rules
4 690×lower-fma.f32
4 686×lower-fma.f64
4 456×lower-/.f64
4 456×lower-/.f32
4 048×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
036125
1180120
21419120
08268115
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 360
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(-.f64 #s(literal 1/2 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))) (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (fma.f64 x x (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (fma.f64 x x (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))) (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)))
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(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (*.f64 x x))) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y x) (-.f64 (*.f64 x y) x)))) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x y) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 (neg.f64 x) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x)) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x)) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (neg.f64 x))))))
(*.f64 (*.f64 (fma.f64 x y x) (-.f64 (*.f64 x y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(*.f64 (*.f64 (fma.f64 x y x) (-.f64 (*.f64 x y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (neg.f64 x))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x y x) (-.f64 (*.f64 x y) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y x))))
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 x y) x) x))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y x)

eval91.0ms (1.3%)

Memory
10.0MiB live, 215.5MiB allocated
Compiler

Compiled 11 364 to 1 083 computations (90.5% saved)

prune83.0ms (1.2%)

Memory
7.5MiB live, 202.0MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New6396645
Fresh112
Picked235
Done000
Total64210652
Accuracy
100.0%
Counts
652 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
49.7%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓52.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶100.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
✓53.6%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓48.2%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
▶25.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
▶25.3%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
▶26.5%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
▶29.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Compiler

Compiled 131 to 76 computations (42% saved)

simplify72.0ms (1%)

Memory
-10.5MiB live, 64.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
cost-diff0
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (- (* y x) x) (*.f64 y x))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (* y x) x) (neg.f64 x))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
cost-diff0
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff0
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
cost-diff0
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
cost-diff128
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
Rules
1 424×lower-fma.f64
1 424×lower-fma.f32
384×lower-*.f32
378×lower-*.f64
368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031171
038173
169173
2130173
3299161
4691161
51254161
61503161
71756161
81799161
91801161
101803161
111806161
121808161
01808153
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (- (* y x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (- (* y x) x) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
y
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (- (* y x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))
#s(approx (- (* y x) x) (*.f64 y x))
#s(approx (- (* y x) x) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
y
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize68.0ms (1%)

Memory
18.2MiB live, 177.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
accuracy30.75330800180736
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
accuracy33.148759506658564
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
accuracy0
(*.f64 y x)
accuracy32.20211801890155
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
accuracy32.69448721947224
#s(approx (- (* y x) x) (*.f64 y x))
accuracy0
(neg.f64 x)
accuracy29.576150579888555
#s(approx (- (* y x) x) (neg.f64 x))
accuracy32.20211801890155
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
accuracy29.691665697096262
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy30.74435853558063
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
accuracy0.00390625
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
accuracy0.0078125
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
accuracy0.01171875
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
Samples
44.0ms256×0valid
Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 11.0ms (39.1% of total)
ival-sub: 8.0ms (28.4% of total)
const: 6.0ms (21.3% of total)
ival-add: 2.0ms (7.1% of total)
ival-neg: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-5.1MiB live, 34.7MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x) (patch (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (patch #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* y x) x) (neg.f64 x)) (patch #s(approx (- (* y x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* y x) x) (*.f64 y x)) (patch #s(approx (- (* y x) x) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) (patch (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 918938533204673/1000000000000000 (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* y (- x 1/2))) (taylor 0 y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)) (taylor inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)) (taylor inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)) (taylor inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1/2 x))) (taylor -inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y)) (taylor 0 x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y))) (taylor -inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y))) (taylor -inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y))) (taylor -inf x) (#s(alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (patch (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
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#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) (patch #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* y (- 1/2 x))
0.0ms
y
@inf
(* y (- 1/2 x))
0.0ms
y
@-inf
(* y (- 1/2 x))
0.0ms
y
@0
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms
y
@inf
(- 918938533204673/1000000000000000 (* y (- 1/2 x)))

simplify172.0ms (2.5%)

Memory
-9.2MiB live, 317.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 490×lower-fma.f64
8 490×lower-fma.f32
2 534×lower-*.f64
2 534×lower-*.f32
1 130×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222118
14022118
210871902
330961902
465721902
080741769
Stop Event
1×iter limit
1×node limit
Counts
324 → 322
Calls
Call 1
Inputs
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* -1 (* y (- 1/2 x)))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(* x y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x y)
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* -1 (* y (- 1/2 x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* y (- 1/2 x))
(* 1/2 y)
(+ (* -1 (* x y)) (* 1/2 y))
(+ (* -1 (* x y)) (* 1/2 y))
(+ (* -1 (* x y)) (* 1/2 y))
(* -1 (* x y))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* x (+ (* -1 y) (* 1/2 (/ y x))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(* -1 (* x (+ y (* -1/2 (/ y x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
Outputs
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 x)
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(-.f64 (*.f64 y x) x)
(- (* x y) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(-.f64 (*.f64 y x) x)
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(* -1 x)
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(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
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(* -1 x)
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(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
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(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(* x y)
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(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
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(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
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(* x y)
(*.f64 y x)
(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
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(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* x y)
(*.f64 y x)
(* x y)
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(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))

rewrite321.0ms (4.6%)

Memory
12.1MiB live, 437.7MiB allocated
Rules
4 674×lower-fma.f64
4 674×lower-fma.f32
4 454×lower-/.f64
4 454×lower-/.f32
3 532×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031158
038158
1170158
21300158
08458146
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 203
Calls
Call 1
Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (- (* y x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (- (* y x) x) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
(+.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64))
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(fma.f64 y #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (neg.f64 x) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (*.f64 y (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y)))
(/.f64 (*.f64 y (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) y) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) y)) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y)) (neg.f64 (+.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (*.f64 y (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (- (* y x) x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (- (* y x) x) (*.f64 y x))
(+.f64 (*.f64 y x) #s(literal 0 binary64))
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 x y #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 x (*.f64 y (*.f64 y x))) #s(literal 0 binary64)) (fma.f64 x (*.f64 y (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 y x))) #s(literal 0 binary64)) (-.f64 (*.f64 y x) #s(literal 0 binary64)))
(*.f64 y x)
(*.f64 x y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
(*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y)
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))

eval83.0ms (1.2%)

Memory
-17.8MiB live, 193.1MiB allocated
Compiler

Compiled 9 777 to 657 computations (93.3% saved)

prune41.0ms (0.6%)

Memory
25.2MiB live, 103.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New5241525
Fresh022
Picked145
Done033
Total52510535
Accuracy
100.0%
Counts
535 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.7%
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
▶49.7%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓52.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶100.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
✓53.6%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓48.2%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
✓25.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
✓25.3%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
✓26.5%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
✓29.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Compiler

Compiled 76 to 44 computations (42.1% saved)

simplify55.0ms (0.8%)

Memory
-36.5MiB live, 84.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) x)
cost-diff0
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x))
cost-diff0
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 y x (neg.f64 x))
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
cost-diff0
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
#s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff0
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
cost-diff0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
Rules
1 440×lower-fma.f32
1 436×lower-fma.f64
380×lower-+.f32
376×lower-+.f64
376×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026140
035141
171141
2126133
3276127
4611127
51103127
61403127
71611127
81636127
01636127
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
#s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
y
x
(neg.f64 x)
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
#s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
y
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 x y (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
y
x
(neg.f64 x)
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 x y (neg.f64 x))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 x y (neg.f64 x)))
(-.f64 (*.f64 y x) x)
(fma.f64 x y (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 918938533204673/1000000000000000 binary64)

localize65.0ms (0.9%)

Memory
1.1MiB live, 159.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.00390625
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
accuracy0.0078125
(-.f64 (*.f64 y x) x)
accuracy22.655537967418276
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x))
accuracy0
(fma.f64 y x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy32.20211801890155
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
accuracy0
(+.f64 x #s(literal -1/2 binary64))
accuracy0
#s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy0
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
accuracy0.0078125
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
Samples
44.0ms256×0valid
Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 9.0ms (29% of total)
ival-mult: 8.0ms (25.8% of total)
const: 8.0ms (25.8% of total)
ival-add: 4.0ms (12.9% of total)
ival-neg: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (patch #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (patch (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 y x (neg.f64 x)) (patch (fma.f64 y x (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64)) (patch (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) (patch #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 y x) x) (patch (-.f64 (*.f64 y x) x) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- 918938533204673/1000000000000000 (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x))))) (taylor inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (* -1 x)) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2)))) (taylor 0 y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- x 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)) (taylor inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (* -1 x)))) (taylor -inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) (patch #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (- 918938533204673/1000000000000000 x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1/2 x))) (taylor -inf y) (#s(alt (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) (patch (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/2) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/2) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/2) (taylor 0 x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(literal -1/2 binary64)) (patch (+.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
0.0ms
x
@-inf
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
0.0ms
y
@-inf
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
0.0ms
x
@0
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)
0.0ms
y
@0
(+ (* y (+ x -1/2)) 918938533204673/1000000000000000)

simplify246.0ms (3.5%)

Memory
-4.0MiB live, 239.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 972×lower-fma.f64
8 972×lower-fma.f32
2 664×lower-*.f64
2 664×lower-*.f32
1 236×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361739
14511739
211971559
333061559
465881559
081901445
Stop Event
1×iter limit
1×node limit
Counts
264 → 262
Calls
Call 1
Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* -1 (* y (- 1/2 x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* -1 (* y (- 1/2 x)))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(* y (+ (* -1 (- 1/2 x)) (* 918938533204673/1000000000000000 (/ 1 y))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x y)) (* 1/2 y))
(* x y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ (* -1 y) (* 1/2 (/ y x)))))
(* x y)
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
(* -1 (* x (- (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)) y)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(+ 918938533204673/1000000000000000 (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) 1/2))
(* y (- x 1/2))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- (* -1 (- x 1/2)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x y)))
(* x y)
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
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(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(- (* x y) x)
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))

rewrite360.0ms (5.1%)

Memory
7.2MiB live, 472.2MiB allocated
Rules
5 298×lower-fma.f32
5 294×lower-fma.f64
4 018×lower-/.f64
4 018×lower-/.f32
3 658×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026131
035131
1195131
21544131
08311125
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 354
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
#s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
(fma.f64 y x (neg.f64 x))
(neg.f64 x)
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 x #s(literal -1/2 binary64))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
(+.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (fma.f64 x (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))))
(+.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))))
(+.f64 (+.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 0 binary64)) (neg.f64 x))
(-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x)
(-.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (fma.f64 x (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (*.f64 x x) (+.f64 x #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (+.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (fma.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 x))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (*.f64 x x))) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x y x)))) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 x y))))) (neg.f64 (-.f64 (neg.f64 x) (*.f64 x y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (neg.f64 (+.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (*.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (*.f64 x y)) (-.f64 x (*.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (*.f64 (/.f64 (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x)) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x y))) (fma.f64 x y x)) (/.f64 (*.f64 x x) (fma.f64 x y x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x x (*.f64 (fma.f64 x y #s(literal 0 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 x))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 x)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (neg.f64 (*.f64 y (*.f64 x x)))))))
(*.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x y x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 x (fma.f64 x y x))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (*.f64 x y))))
(*.f64 (*.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x y (neg.f64 x)) x) (/.f64 (fma.f64 x y x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x y x) x) (/.f64 (fma.f64 x y (neg.f64 x)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x y (neg.f64 x)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 x y x) x))
(*.f64 (/.f64 (fma.f64 x y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 x y (neg.f64 x)) x))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y x)
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal 1/2 binary64)))))

eval94.0ms (1.3%)

Memory
6.3MiB live, 216.9MiB allocated
Compiler

Compiled 12 232 to 888 computations (92.7% saved)

prune84.0ms (1.2%)

Memory
9.1MiB live, 204.3MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New6160616
Fresh000
Picked033
Done077
Total61610626
Accuracy
100.0%
Counts
626 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.7%
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
✓49.7%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓52.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓100.0%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
✓53.6%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓48.2%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
✓25.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
✓25.3%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
✓26.5%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
✓29.1%
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Compiler

Compiled 190 to 82 computations (56.8% saved)

regimes24.0ms (0.3%)

Memory
-17.7MiB live, 57.4MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (- 918938533204673/1000000000000000 (* y (- 1/2 x))) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 x (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
Calls

4 calls:

7.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
6.0ms
x
5.0ms
y
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
100.0%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes18.0ms (0.3%)

Memory
-6.2MiB live, 39.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
Calls

4 calls:

7.0ms
y
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
x
4.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
99.0%3x
99.3%3y
79.5%2(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
79.5%2(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
97.9%3x
98.7%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory
-6.8MiB live, 31.4MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
Calls

4 calls:

4.0ms
y
3.0ms
x
3.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
3.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
70.7%4(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
70.7%4(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
79.6%4x
82.3%5y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
5 → 5
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
81.8%5y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-25.2MiB live, 12.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))
Calls

2 calls:

4.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
57.0%2x
76.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
53.6%1x
53.6%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
53.6%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
53.6%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory
-19.2MiB live, 18.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))
Calls

4 calls:

4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
52.3%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
52.3%3(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
52.5%3x
30.8%2y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Calls

4 calls:

1.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
1.0ms
x
1.0ms
y
1.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
Results
AccuracySegmentsBranch
29.1%1y
29.1%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
29.1%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
29.1%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch38.0ms (0.5%)

Memory
-29.4MiB live, 57.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.00027889956974079896
1475.3281978739756
16.0ms
-4.7152850876982927e+27
-1.03835566990648e+27
Samples
22.0ms240×0valid
Compiler

Compiled 316 to 210 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (52.5% of total)
const: 4.0ms (23.4% of total)
ival-sub: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Memory
9.6MiB live, 81.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
0.00027889956974079896
1475.3281978739756
19.0ms
-28304112266.056538
-0.013420829416777948
Samples
18.0ms272×0valid
Compiler

Compiled 320 to 224 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 5.0ms (41% of total)
ival-sub: 3.0ms (24.6% of total)
ival-mult: 3.0ms (24.6% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch56.0ms (0.8%)

Memory
28.0MiB live, 112.6MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
7.22533539686754e+118
2.6285920674189242e+122
22.0ms
7.482205590051636e-17
0.00027889956974079896
1.0ms
-4.7152850876982927e+27
-1.03835566990648e+27
13.0ms
-8.421667936948255e+220
-6.109545285347361e+216
Samples
28.0ms416×0valid
Compiler

Compiled 512 to 337 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 7.0ms (37.1% of total)
ival-mult: 5.0ms (26.5% of total)
ival-sub: 4.0ms (21.2% of total)
ival-add: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-8.5MiB live, 30.2MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.22533539686754e+118
2.6285920674189242e+122
11.0ms
0.00027889956974079896
1475.3281978739756
1.0ms
-4.7152850876982927e+27
-1.03835566990648e+27
1.0ms
-8.421667936948255e+220
-6.109545285347361e+216
Samples
5.0ms80×0valid
Compiler

Compiled 497 to 309 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27.7% of total)
ival-mult: 1.0ms (27.7% of total)
const: 1.0ms (27.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-8.6MiB live, 30.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.00027889956974079896
1475.3281978739756
12.0ms
-28304112266.056538
-0.013420829416777948
Samples
8.0ms96×0valid
Compiler

Compiled 301 to 186 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
const: 2.0ms (45.3% of total)
ival-sub: 1.0ms (22.7% of total)
ival-mult: 1.0ms (22.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
12.5MiB live, 55.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4780590.92283162
710803102995783.9
16.0ms
-568687.7662171441
-188.93837472722439
Samples
18.0ms272×0valid
Compiler

Compiled 237 to 151 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 4.0ms (32.4% of total)
ival-sub: 3.0ms (24.3% of total)
ival-mult: 3.0ms (24.3% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Memory
-15.8MiB live, 22.8MiB allocated
Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
12×sub-neg_binary64
10×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078517
194517
2102517
3105517
4106517
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 1450 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -190 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) (if (<=.f64 x #s(literal 5000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 1450 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 y x) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 1450 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- (* x (- y 1)) (* y 1/2)) (-.f64 (*.f64 x y) x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 8854437155380585/1180591620717411303424 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) (if (<=.f64 y #s(literal -1049999999999999972720246784 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 360000000000000001401868415024680593941348226825749094535032101640132283281832488868284981906615308574288961228159057920 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 y #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 y x)))))
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y))) (if (<=.f64 y #s(literal 5/4 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (*.f64 x y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -190 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x))) (if (<=.f64 x #s(literal 5000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- (* y x) x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

soundness1.3s (18.1%)

Memory
6.6MiB live, 534.7MiB allocated
Rules
11 900×lower-fma.f64
11 900×lower-fma.f32
10 524×lower-fma.f64
10 524×lower-fma.f32
3 162×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271951
14181951
211671735
334651735
469141735
080341594
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 325 to 152 computations (53.2% saved)

preprocess51.0ms (0.7%)

Memory
-1.3MiB live, 118.2MiB allocated
Compiler

Compiled 408 to 130 computations (68.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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