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

Time bar (total: 9.2s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
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)

sample1.1s (11.8%)

Memory
-23.1MiB live, 1 536.0MiB allocated
Samples
788.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 493.0ms
const: 212.0ms (43% of total)
ival-mult: 112.0ms (22.7% of total)
ival-sub: 92.0ms (18.7% of total)
ival-add: 60.0ms (12.2% of total)
exact: 8.0ms (1.6% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess231.0ms (2.5%)

Memory
31.2MiB live, 151.4MiB allocated
Algorithm
egg-herbie
Rules
1 376×accelerator-lowering-fma.f32
1 376×accelerator-lowering-fma.f64
862×sub-neg
530×unsub-neg
492×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
18270
220966
366656
4168154
5318354
6371154
7384854
8387454
9387854
10392354
11398354
12400754
13400754
14400754
01011
12511
25311
31059
42079
54329
68319
712249
814649
914859
014858
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
Outputs
(+ (- (* 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))
Call 2
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (- -1/2 x)) (+ x 918938533204673/1000000000000000))
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(+ (* y (- 1/2 x)) (- 918938533204673/1000000000000000 x))
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x 1/2)) (- -918938533204673/1000000000000000 x))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x -1/2)) (+ x -918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
(+ (* x (+ y -1/2)) (- 918938533204673/1000000000000000 y))

explain118.0ms (1.3%)

Memory
9.1MiB live, 243.0MiB 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
44.0ms512×0valid
Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
const: 9.0ms (37.8% of total)
ival-mult: 6.0ms (25.2% of total)
ival-sub: 5.0ms (21% of total)
ival-add: 2.0ms (8.4% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB 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)

simplify62.0ms (0.7%)

Memory
-3.1MiB live, 117.6MiB allocated
Algorithm
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×accelerator-lowering-fma.f32
1 376×accelerator-lowering-fma.f64
352×+-lowering-+.f64
352×--lowering--.f32
352×+-lowering-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
12536
25336
310532
420732
543232
683132
7122432
8146432
9148532
0148531
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
x
(- y 1)
y
1
(* y 1/2)
1/2
918938533204673/1000000000000000
Outputs
(+ (- (* 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))
(- (* x (- y 1)) (* y 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize43.0ms (0.5%)

Memory
-38.1MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x (-.f64 y #s(literal 1 binary64)))
Samples
30.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 12.0ms (56% of total)
const: 4.0ms (18.7% of total)
ival-mult: 3.0ms (14% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- (* x (- y 1)) (* y 1/2))>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (* x (- y 1))>
#<alt (- y 1)>
#<alt (* y 1/2)>
Outputs
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
Calls

24 calls:

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

rewrite354.0ms (3.8%)

Memory
-18.4MiB live, 689.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 498×accelerator-lowering-fma.f32
7 498×accelerator-lowering-fma.f64
4 788×*-lowering-*.f32
4 788×*-lowering-*.f64
3 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
16431
251531
3771631
0824528
Stop Event
iter limit
node limit
Counts
5 → 384
Calls
Call 1
Inputs
(- (* x (- y 1)) (* y 1/2))
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(* x (- y 1))
(- y 1)
(* y 1/2)
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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))))
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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))))))
(+.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 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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)))) (/.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 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x x)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (+.f64 y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 y (/.f64 (*.f64 y y) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify257.0ms (2.8%)

Memory
13.2MiB live, 486.0MiB allocated
Algorithm
egg-herbie
Rules
11 900×accelerator-lowering-fma.f32
11 900×accelerator-lowering-fma.f64
3 162×*-lowering-*.f32
3 162×*-lowering-*.f64
1 298×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
iter limit
node limit
Counts
96 → 96
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))

eval64.0ms (0.7%)

Memory
3.6MiB live, 132.0MiB allocated
Compiler

Compiled 15 526 to 1 358 computations (91.3% saved)

prune57.0ms (0.6%)

Memory
-2.3MiB live, 119.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4728480
Fresh000
Picked101
Done000
Total4738481
Accuracy
100.0%
Counts
481 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
51.8%
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
60.7%
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
48.1%
(-.f64 (*.f64 y x) x)
100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
52.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
49.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 212 to 134 computations (36.8% saved)

simplify826.0ms (9%)

Memory
20.2MiB live, 491.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))
cost-diff256
(-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
cost-diff320
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
cost-diff2112
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
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
(+.f64 #s(literal -1/2 binary64) x)
cost-diff0
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
cost-diff0
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff192
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
Rules
24 748×accelerator-lowering-fma.f32
24 748×accelerator-lowering-fma.f64
3 980×+-lowering-+.f64
3 980×+-lowering-+.f32
2 698×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041254
1125234
2478220
32060208
46603208
08160184
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
y
-1
x
(+ (* y -1/2) 918938533204673/1000000000000000)
-1/2
918938533204673/1000000000000000
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(* y (+ -1/2 x))
y
(+ -1/2 x)
-1/2
x
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
918938533204673/1000000000000000
(+ (* y (- 1/2 x)) x)
y
(- 1/2 x)
1/2
x
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(* x (+ (* y y) -1))
x
(+ (* y y) -1)
y
-1
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(* y 1/4)
1/4
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
918938533204673/2000000000000000
844448027808355901771309036929/1000000000000000000000000000000
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(+ y 1)
1
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(* (* y y) 1/8)
(* y y)
1/8
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
Outputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
x
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(* y (+ -1/2 x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+ -1/2 x)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
x
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y (- 1/2 x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(* x (+ (* y y) -1))
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
x
(+ (* y y) -1)
(fma.f64 y y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(* y 1/4)
(*.f64 y #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
918938533204673/2000000000000000
#s(literal 918938533204673/2000000000000000 binary64)
844448027808355901771309036929/1000000000000000000000000000000
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))
(* (* y y) 1/8)
(*.f64 (*.f64 y y) #s(literal 1/8 binary64))
(* y y)
(*.f64 y y)
1/8
#s(literal 1/8 binary64)
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
#s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 y #s(literal 1 binary64)))

localize194.0ms (2.1%)

Memory
10.8MiB live, 123.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
accuracy93.4%
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
accuracy81.7%
(-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
accuracy63.3%
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
accuracy100.0%
(-.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
accuracy100.0%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
Samples
145.0ms256×0valid
Compiler

Compiled 227 to 43 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-add: 51.0ms (40.7% of total)
ival-mult: 38.0ms (30.3% of total)
const: 29.0ms (23.1% of total)
ival-sub: 4.0ms (3.2% of total)
ival-div: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
-5.8MiB live, 39.8MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))>
#<alt (+ y -1)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (* y (+ -1/2 x))>
#<alt (+ -1/2 x)>
#<alt (- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))>
#<alt (+ (* y (- 1/2 x)) x)>
#<alt (- 1/2 x)>
#<alt (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))>
#<alt (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))>
#<alt (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))>
#<alt (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))>
#<alt (* x (+ (* y y) -1))>
#<alt (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))>
Outputs
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
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#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* -1 (* y (- 1/2 x)))>
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#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt x>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- 1/2 x))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* -1 x)>
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#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (+ (* 594448027808355901771309036929/844448027808355901771309036929 x) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/2000000000000000 x) 1/8)) (+ (* 250000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (+ (* 709469266602336500000000000000/844448027808355901771309036929 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))) (* 1418938533204673/918938533204673 (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))))))) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))>
#<alt (* y (- (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))) (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y))))>
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y)))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2)))))))>
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (+ (* 4 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)) (pow y 3))) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))))) (+ (* 1418938533204673/500000000000000 (/ (- (* 594448027808355901771309036929/250000000000000000000000000000 x) (+ (* 1418938533204673/500000000000000 (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)))) (pow y 3))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 3))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (+ (* 844448027808355901771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 3))) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2))))))))))>
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (+ (* -594448027808355901771309036929/250000000000000000000000000000 x) (* -1 (/ (- (* -4 (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (+ (* -1418938533204673/500000000000000 (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))))))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 844448027808355901771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8))))) y))) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
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#<alt (* (pow y 4) (- (* 1/4 x) 1/8))>
#<alt (* (pow y 4) (- (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))) (+ 1/8 (* 1/8 (/ 1 y)))))>
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#<alt (* (pow y 4) (- (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (+ (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))))) (+ 1/8 (* 1/8 (/ 1 y)))))>
#<alt (* (pow y 4) (- (* 1/4 x) 1/8))>
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#<alt -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000>
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#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
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#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* x (- (pow y 2) 1))>
#<alt (* -1 x)>
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#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (+ (* -1 x) (* x (pow y 2)))>
#<alt (* x (pow y 2))>
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#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
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#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))>
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#<alt (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y)))))>
#<alt (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (* 1/4 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))>
#<alt (* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))))>
#<alt (* 1/4 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))>
#<alt (* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))>
Calls

69 calls:

TimeVariablePointExpression
22.0ms
y
@0
(* y (+ -1/2 x))
3.0ms
y
@-inf
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
2.0ms
x
@0
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
2.0ms
y
@inf
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
2.0ms
y
@0
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))

rewrite648.0ms (7.1%)

Memory
-15.2MiB live, 552.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 396×*-lowering-*.f32
5 396×*-lowering-*.f64
4 162×accelerator-lowering-fma.f32
4 162×accelerator-lowering-fma.f64
3 944×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041181
1290165
22946165
08757143
Stop Event
iter limit
node limit
Counts
15 → 693
Calls
Call 1
Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
(+ (* y -1/2) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 x)
(* y (+ -1/2 x))
(+ -1/2 x)
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(+ (* y (- 1/2 x)) x)
(- 1/2 x)
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(* x (+ (* y y) -1))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
Outputs
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 y #s(literal -1/2 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
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(fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
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(fma.f64 (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64))) x (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) x) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(fma.f64 (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(fma.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (-.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64))))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/64 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 x (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y y #s(literal -1 binary64))) x)
(*.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))

simplify637.0ms (6.9%)

Memory
-8.8MiB live, 625.3MiB allocated
Algorithm
egg-herbie
Rules
9 400×accelerator-lowering-fma.f32
9 400×accelerator-lowering-fma.f64
4 298×*-lowering-*.f32
4 298×*-lowering-*.f64
4 062×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04853583
115343355
248853280
082082931
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(+ 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 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* 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)))))
-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)))
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
(+ 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)))))
(* 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 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)))
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(* (pow y 4) (- (* 1/4 x) 1/8))
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-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(- (* -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 y) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(- (* y (- (* 1/8 (pow y 2)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(- (* y (- (* (pow y 2) (+ 1/8 (* 1/8 y))) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(* 1/8 (pow y 4))
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(* (pow y 4) (- (+ 1/8 (* 1/8 (/ 1 y))) (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3))))
(* (pow y 4) (+ 1/8 (+ (* -1 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 y))) (pow y 3))) (* 1/8 (/ 1 y)))))
(* 1/8 (pow y 4))
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(* (pow y 4) (+ 1/8 (* -1 (/ (- (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2))) 1/8) y))))
(* (pow y 4) (+ 1/8 (* -1 (/ (- (+ (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3)) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2)))) 1/8) y))))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* -1 x)
(+ (* -1 x) (* x (pow y 2)))
(+ (* -1 x) (* x (pow y 2)))
(+ (* -1 x) (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* -844448027808355901771309036929/1000000000000000000000000000000 x)
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* -918938533204673/2000000000000000 (* x y)))
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y)))))
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x))))))
(* 1/4 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))
(* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))))
(* 1/4 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))
(* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
Outputs
(+ 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 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -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 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #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))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(neg.f64 (+.f64 x (*.f64 x (/.f64 #s(literal -918938533204673/1000000000000000 binary64) 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 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 x (fma.f64 y (/.f64 #s(literal -1/2 binary64) x) y))
-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))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
(* x (- 1 (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
(* x (- 1 (* 1/2 (/ 1 x))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) x)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.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 (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -1 (* y (- 1/2 x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #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 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (- 1 y)))
(-.f64 (*.f64 x y) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 (*.f64 x (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))) x)
x
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(*.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
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(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal 918938533204673/2000000000000000 binary64) (/.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) y)))))
(* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y)) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y)))))
(* 1/4 (* x (pow y 4)))
(*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (fma.f64 x #s(literal -918938533204673/2000000000000000 binary64) (*.f64 (/.f64 x y) #s(literal -594448027808355901771309036929/1000000000000000000000000000000 binary64))) y)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal -918938533204673/2000000000000000 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))) y)) y)))

eval272.0ms (3%)

Memory
14.7MiB live, 285.4MiB allocated
Compiler

Compiled 57 973 to 3 147 computations (94.6% saved)

prune159.0ms (1.7%)

Memory
5.8MiB live, 290.1MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 00891 017
Fresh213
Picked325
Done000
Total1 013121 025
Accuracy
100.0%
Counts
1 025 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
49.3%
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
51.8%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
50.8%
(/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
48.1%
(-.f64 (*.f64 y x) x)
52.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
88.5%
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
49.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
24.6%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
25.8%
(neg.f64 x)
28.1%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 170 to 123 computations (27.6% saved)

simplify234.0ms (2.5%)

Memory
11.7MiB live, 319.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff0
(*.f64 y #s(literal -1/2 binary64))
cost-diff0
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))
cost-diff0
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
cost-diff832
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
Rules
8 594×accelerator-lowering-fma.f32
8 594×accelerator-lowering-fma.f64
2 334×*-lowering-*.f32
2 334×*-lowering-*.f64
1 108×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
13667
27467
316867
437267
570365
6124365
7258865
8472365
9646865
10747465
0801262
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)))
y
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))
x
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)
(/ (- 918938533204673/1000000000000000 x) y)
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
-1/2
918938533204673/1000000000000000
(* y -1/2)
y
-1/2
(+ (* y -1/2) 918938533204673/1000000000000000)
y
-1/2
918938533204673/1000000000000000
(+ (* (+ y -1) x) 918938533204673/1000000000000000)
(+ y -1)
y
-1
x
918938533204673/1000000000000000
Outputs
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
y
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
x
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
y
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* (+ y -1) x) 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
x
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize54.0ms (0.6%)

Memory
5.1MiB live, 80.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy100.0%
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
accuracy100.0%
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
accuracy88.5%
(*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
Samples
33.0ms256×0valid
Compiler

Compiled 67 to 17 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 5.0ms (26.4% of total)
ival-mult: 5.0ms (26.4% of total)
const: 5.0ms (26.4% of total)
ival-div: 2.0ms (10.6% of total)
ival-sub: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-25.0MiB live, 12.7MiB allocated
Counts
9 → 168
Calls
Call 1
Inputs
#<alt (* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)))>
#<alt (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))>
#<alt (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (* y -1/2)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (+ (* (+ y -1) x) 918938533204673/1000000000000000)>
#<alt (+ y -1)>
#<alt (- 918938533204673/1000000000000000 x)>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (* x (* y (- 1 (/ 1 y))))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt -1/2>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt -1/2>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (+ 918938533204673/1000000000000000 (* x (- y 1)))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
Calls

42 calls:

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

rewrite335.0ms (3.6%)

Memory
30.0MiB live, 625.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 412×accelerator-lowering-fma.f32
5 412×accelerator-lowering-fma.f64
4 120×/-lowering-/.f32
4 120×/-lowering-/.f64
3 924×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
111553
2101653
0834851
Stop Event
iter limit
node limit
Counts
9 → 480
Calls
Call 1
Inputs
(* y (+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)))
(+ x (+ (/ (- 918938533204673/1000000000000000 x) y) -1/2))
(+ (/ (- 918938533204673/1000000000000000 x) y) -1/2)
(/ (- 918938533204673/1000000000000000 x) y)
(* y -1/2)
(+ (* y -1/2) 918938533204673/1000000000000000)
(+ (* (+ y -1) x) 918938533204673/1000000000000000)
(+ y -1)
(- 918938533204673/1000000000000000 x)
Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y))
(+.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y x))
(+.f64 (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (*.f64 (+.f64 #s(literal -1/2 binary64) x) y))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(+.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))))
(fma.f64 y x (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(fma.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y))
(fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (*.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(fma.f64 x y (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y (*.f64 (+.f64 #s(literal -1/2 binary64) x) y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) y (*.f64 y x))
(fma.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y))
(fma.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 y (*.f64 y y))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))) (*.f64 y x))
(fma.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))) (*.f64 y x))
(fma.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (*.f64 y (*.f64 y y))) #s(literal -1/8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))) (*.f64 y x))
(fma.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y y)) #s(literal -1/4 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))) (*.f64 y x))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 y y) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))) (*.f64 (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)) (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) (*.f64 y (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))) (*.f64 (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))) y)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x x) (*.f64 y y) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(/.f64 (*.f64 y (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) y) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))) y) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 y y) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y y)) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))) (neg.f64 (*.f64 y (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))) (neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 y (*.f64 (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))))) (+.f64 (neg.f64 x) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) y)) (neg.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x) (*.f64 x x))))
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(*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x x (*.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x))))))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(*.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))))

simplify262.0ms (2.9%)

Memory
-27.9MiB live, 459.5MiB allocated
Algorithm
egg-herbie
Rules
8 804×accelerator-lowering-fma.f32
8 804×accelerator-lowering-fma.f64
2 246×*-lowering-*.f32
2 246×*-lowering-*.f64
2 234×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131102
13551048
21020936
32857936
47011936
08185890
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(- 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))))
(* y (- x 1/2))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(* x (* y (- 1 (/ 1 y))))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* -1 (* x (* y (- (/ 1 y) 1))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(* -1 (/ x y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
-1/2
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
-1/2
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(/ 918938533204673/1000000000000000 y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(* -1 (/ x y))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) 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)
(* -1/2 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 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(* x y)
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(* x (- y 1))
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
-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)))
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)))))
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (* y (- 1 (/ 1 y))))
(-.f64 (*.f64 x y) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (* y (- (/ 1 y) 1))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
-1/2
#s(literal -1/2 binary64)
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
-1/2
#s(literal -1/2 binary64)
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -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))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #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))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* x y)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ 918938533204673/1000000000000000 (* x (- y 1)))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) 1))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (- (* -1 (- y 1)) (* 918938533204673/1000000000000000 (/ 1 x)))))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) 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))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

eval78.0ms (0.8%)

Memory
18.6MiB live, 171.0MiB allocated
Compiler

Compiled 13 773 to 1 862 computations (86.5% saved)

prune68.0ms (0.7%)

Memory
3.4MiB live, 163.6MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New6462648
Fresh145
Picked145
Done022
Total64812660
Accuracy
100.0%
Counts
660 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
49.3%
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
51.8%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
48.1%
(-.f64 (*.f64 y x) x)
52.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
51.7%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
88.5%
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
49.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
24.6%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
25.8%
(neg.f64 x)
28.1%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 130 to 91 computations (30% saved)

simplify375.0ms (4.1%)

Memory
14.9MiB live, 333.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff192
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 (*.f64 y x) x)
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
cost-diff0
(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))
cost-diff0
(+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))
cost-diff1536
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
Rules
9 092×accelerator-lowering-fma.f32
9 092×accelerator-lowering-fma.f64
1 840×*-lowering-*.f32
1 840×*-lowering-*.f64
1 416×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01677
14077
28377
320477
450775
5104173
6200273
7371873
8546773
9639973
10673773
11690073
12693473
13700973
14716573
15760773
16769573
17770973
18772773
19774773
20775573
21777573
22783573
0813972
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))))
y
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))
x
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))
(/ 918938533204673/1000000000000000 y)
918938533204673/1000000000000000
(+ (/ x y) 1/2)
(/ x y)
1/2
(neg x)
x
(* y x)
y
x
(- (* y x) x)
(* y x)
y
x
(+ (* y -1/2) (* y x))
y
-1/2
(* y x)
x
Outputs
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
y
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) x)))
x
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (/ x y) 1/2)
(+.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
1/2
#s(literal 1/2 binary64)
(neg x)
(neg.f64 x)
x
(* y x)
(*.f64 y x)
y
x
(- (* y x) x)
(-.f64 (*.f64 y x) x)
(* y x)
(*.f64 y x)
y
x
(+ (* y -1/2) (* y x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
-1/2
#s(literal -1/2 binary64)
(* y x)
(*.f64 y x)
x

localize54.0ms (0.6%)

Memory
-10.7MiB live, 107.4MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 (*.f64 y x) x)
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
accuracy88.5%
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
Samples
36.0ms256×0valid
Compiler

Compiled 80 to 18 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 6.0ms (26% of total)
const: 5.0ms (21.6% of total)
ival-mult: 4.0ms (17.3% of total)
ival-add: 3.0ms (13% of total)
ival-sub: 3.0ms (13% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#<alt (* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))))>
#<alt (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))>
#<alt (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (neg x)>
#<alt (* y x)>
#<alt (- (* y x) x)>
#<alt (+ (* y -1/2) (* y x))>
Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (* x (* y (- 1 (/ 1 y))))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- x 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)>
#<alt -1/2>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))>
#<alt -1/2>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
Calls

42 calls:

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

rewrite359.0ms (3.9%)

Memory
20.0MiB live, 647.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 422×*-lowering-*.f32
5 422×*-lowering-*.f64
4 810×/-lowering-/.f32
4 810×/-lowering-/.f64
3 962×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01651
111245
2114445
0874845
Stop Event
iter limit
node limit
Counts
8 → 337
Calls
Call 1
Inputs
(* y (+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))))
(+ x (- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2)))
(- (/ 918938533204673/1000000000000000 y) (+ (/ x y) 1/2))
(/ 918938533204673/1000000000000000 y)
(neg x)
(* y x)
(- (* y x) x)
(+ (* y -1/2) (* y x))
Outputs
(+.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y x))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))
(fma.f64 y x (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 x y (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) y (*.f64 y x))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x))))
(/.f64 (*.f64 y (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))) y) (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x))))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/2 binary64) x)) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) y) (-.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)) x)))))
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(/.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 y))
(/.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 1000000000000000/918938533204673 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (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 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 y x)
(*.f64 x y)
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 y x) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x)))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) x)
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) (neg.f64 x))))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
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(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x x) (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x x) (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)))))
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (fma.f64 y x x))
(/.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) (neg.f64 (fma.f64 y x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) (neg.f64 (-.f64 (*.f64 y x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 y x x)) (*.f64 (fma.f64 y x x) (*.f64 x x))) (*.f64 (fma.f64 y x x) (fma.f64 y x 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 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)))) (neg.f64 (neg.f64 (fma.f64 y x x))))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 y x)))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x x) (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #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 y (*.f64 y (*.f64 x x)) (*.f64 x (fma.f64 y x x)))))
(*.f64 (*.f64 (fma.f64 y x x) (-.f64 (*.f64 y x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 y x) x) x))
(+.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y x))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) y) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))) (neg.f64 (neg.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (/.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) y) (/.f64 (*.f64 y (-.f64 #s(literal -1/2 binary64) x)) (-.f64 #s(literal -1/2 binary64) x)))

simplify284.0ms (3.1%)

Memory
-6.0MiB live, 514.5MiB allocated
Algorithm
egg-herbie
Rules
8 592×accelerator-lowering-fma.f32
8 592×accelerator-lowering-fma.f64
2 870×--lowering--.f32
2 870×--lowering--.f64
2 340×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041089
1328967
2961919
32830883
46322883
08094864
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(- 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))))
(* y (- x 1/2))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(* x (* y (- 1 (/ 1 y))))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* -1 (* x (* y (- (/ 1 y) 1))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- x 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
-1/2
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
-1/2
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(* -1 (/ x y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 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)
(* 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 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))))
(* 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 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -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)))))
Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (* y (- 1 (/ 1 y))))
(-.f64 (*.f64 x y) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (* y (- (/ 1 y) 1))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(/ (- (+ 918938533204673/1000000000000000 (* -1/2 y)) x) y)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
-1/2
#s(literal -1/2 binary64)
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) (+ 1/2 (/ x y)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
-1/2
#s(literal -1/2 binary64)
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(- (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y))) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* x (- (/ 918938533204673/1000000000000000 (* x y)) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(* -1 (* x (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y))))
(-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y))
(/ 918938533204673/1000000000000000 y)
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(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(* -1 x)
(neg.f64 x)
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(neg.f64 x)
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(neg.f64 x)
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(neg.f64 x)
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(neg.f64 x)
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(neg.f64 x)
(* x y)
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(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(*.f64 x y)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(-.f64 (*.f64 x y) x)
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(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.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 x y)
(* 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 x y)
(* -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)))

eval68.0ms (0.7%)

Memory
-3.8MiB live, 149.8MiB allocated
Compiler

Compiled 14 411 to 1 461 computations (89.9% saved)

prune217.0ms (2.4%)

Memory
-217.2MiB live, 140.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New5561557
Fresh011
Picked145
Done156
Total55811569
Accuracy
100.0%
Counts
569 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(fma.f64 y x (neg.f64 x))
49.3%
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
51.8%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
52.1%
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
51.7%
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
88.5%
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
49.3%
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
24.6%
(*.f64 y x)
25.6%
(*.f64 y #s(literal -1/2 binary64))
25.8%
(neg.f64 x)
28.1%
#s(literal 918938533204673/1000000000000000 binary64)
Compiler

Compiled 256 to 120 computations (53.1% saved)

regimes52.0ms (0.6%)

Memory
5.6MiB live, 44.7MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) 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 y (+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
Calls

4 calls:

33.0ms
x
6.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
6.0ms
y
6.0ms
(+.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)

regimes21.0ms (0.2%)

Memory
-10.2MiB live, 35.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
Calls

4 calls:

7.0ms
x
4.0ms
y
4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
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
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)

regimes19.0ms (0.2%)

Memory
0.5MiB live, 39.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
Calls

4 calls:

4.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
4.0ms
y
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
97.5%3x
98.6%3y
81.2%4(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
81.2%4(-.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)

regimes5.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
97.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
-11.5MiB live, 28.2MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(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))
Outputs
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y x)
Calls

4 calls:

5.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
3.0ms
x
3.0ms
y
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
70.4%4(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
70.4%4(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
78.9%4x
77.3%4y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
Outputs
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
76.2%4y
60.8%5x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
74.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-14.5MiB live, 24.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
Calls

4 calls:

3.0ms
(-.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
52.1%1x
52.1%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
52.1%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
52.1%1y
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
Calls

4 calls:

2.0ms
(-.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))
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
33.2%2y
50.9%3x
50.7%3(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
50.7%3(-.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
-27.5MiB live, 14.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
#s(literal 918938533204673/1000000000000000 binary64)
Calls

4 calls:

2.0ms
x
1.0ms
(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
1.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms
y
Results
AccuracySegmentsBranch
28.1%1y
28.1%1(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
28.1%1(-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
28.1%1x
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch34.0ms (0.4%)

Memory
15.2MiB live, 53.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.7305043961516486e-7
1174375393641911600.0
11.0ms
-19339663.901525415
-471844.8655848879
Samples
19.0ms288×0valid
Compiler

Compiled 333 to 249 computations (25.2% 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)

bsearch40.0ms (0.4%)

Memory
-20.9MiB live, 54.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.7305043961516486e-7
1174375393641911600.0
15.0ms
-19339663.901525415
-471844.8655848879
Samples
23.0ms288×0valid
Compiler

Compiled 322 to 249 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
const: 9.0ms (54.2% of total)
ival-sub: 3.0ms (18.1% of total)
ival-mult: 3.0ms (18.1% of total)
ival-add: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Memory
10.8MiB live, 52.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.7305043961516486e-7
1174375393641911600.0
13.0ms
-2.064181403474551
-0.00017555946696705405
Samples
25.0ms304×0valid
Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
const: 5.0ms (36.7% of total)
ival-mult: 4.0ms (29.3% of total)
ival-sub: 3.0ms (22% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory
21.1MiB live, 58.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.502091513173893e-6
1.8185040698288872
14.0ms
-9.706729966670433e-6
-6.736942073369301e-7
13.0ms
-4.907019999684928e+207
-1.2290859360985154e+203
Samples
29.0ms368×0valid
Compiler

Compiled 307 to 243 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.8% of total)
const: 6.0ms (29.9% of total)
ival-sub: 4.0ms (19.9% of total)
ival-add: 2.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Memory
6.5MiB live, 43.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.7305043961516486e-7
1174375393641911600.0
11.0ms
-19339663.901525415
-471844.8655848879
22.0ms
-3.678457950005326e+69
-5.884527006235427e+65
Samples
37.0ms416×0valid
Compiler

Compiled 328 to 267 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
const: 15.0ms (55.7% of total)
ival-mult: 5.0ms (18.6% of total)
ival-sub: 4.0ms (14.8% of total)
ival-add: 2.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch61.0ms (0.7%)

Memory
-1.7MiB live, 35.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.7305043961516486e-7
1174375393641911600.0
39.0ms
-19339663.901525415
-471844.8655848879
Samples
48.0ms288×0valid
Compiler

Compiled 232 to 195 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 5.0ms (38.9% of total)
ival-sub: 3.0ms (23.4% of total)
ival-mult: 3.0ms (23.4% of total)
ival-add: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory
5.5MiB live, 50.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.502091513173893e-6
1.8185040698288872
19.0ms
-227.37204552675038
-6.050703710098701e-5
Samples
24.0ms288×0valid
Compiler

Compiled 178 to 159 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 5.0ms (38.9% of total)
ival-sub: 3.0ms (23.4% of total)
ival-mult: 3.0ms (23.4% of total)
ival-add: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.2%)

Memory
-11.5MiB live, 26.7MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
10×*-commutative_binary64
10×sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061157
184157
291157
394157
495157
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.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))
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))))
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -3499999999999999891074558568242233508341000684789079383568192844223495903785123257352198995028398984273999721801314547399190047036349453243946541606993348553131409166924229397243705748370914900334402863104 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x))))
(if (<=.f64 y #s(literal -6999999999999999430184127499376542349895867402464508956701525803008 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.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))
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))))
(if (<=.f64 y #s(literal -3000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 43000000 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))))
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -13000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -3499999999999999891074558568242233508341000684789079383568192844223495903785123257352198995028398984273999721801314547399190047036349453243946541606993348553131409166924229397243705748370914900334402863104 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal -944473296573929/1180591620717411303424 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x))))
(if (<=.f64 y #s(literal -6999999999999999430184127499376542349895867402464508956701525803008 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -480000 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.2s (12.6%)

Memory
22.6MiB live, 646.4MiB allocated
Rules
11 900×accelerator-lowering-fma.f32
11 900×accelerator-lowering-fma.f64
9 400×accelerator-lowering-fma.f32
9 400×accelerator-lowering-fma.f64
7 498×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041181
1290165
22946165
08757143
01031
16431
251531
3771631
0824528
04853583
115343355
248853280
082082931
076593
1232592
2695520
31796520
46373520
08167501
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 361 to 202 computations (44% saved)

preprocess92.0ms (1%)

Memory
-26.8MiB live, 171.7MiB allocated
Compiler

Compiled 370 to 142 computations (61.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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