Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.6%)

Memory
2.8MiB live, 38.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.4s (22.7%)

Memory
-44.5MiB live, 1 377.0MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 344.0ms
ival-sub: 136.0ms (39.6% of total)
ival-mult: 126.0ms (36.7% of total)
ival-div: 66.0ms (19.2% of total)
ival-true: 7.0ms (2% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain92.0ms (1.5%)

Memory
-39.4MiB live, 162.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-2(1.7247878901405724e-258 1.9783690648225478e-64)(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u310
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow31
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o270
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow27
Confusion
Predicted +Predicted -
+582
-0196
Precision
1.0
Recall
0.9666666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+5802
-00196
Precision?
1.0
Recall?
0.9666666666666667
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (49.8% of total)
ival-sub: 3.0ms (21.3% of total)
ival-div: 3.0ms (21.3% of total)
ival-true: 1.0ms (7.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess311.0ms (5.2%)

Memory
12.6MiB live, 371.4MiB allocated
Algorithm
egg-herbie
Rules
7 700×lower-fma.f64
7 700×lower-fma.f32
3 752×lower-*.f32
3 748×lower-*.f64
2 616×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01953
17145
230335
3165835
4358835
5512035
6589735
7604335
8609135
9617835
10617835
11664035
12725635
079
0119
1229
2567
31337
43097
56307
611357
740097
870417
080947
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify174.0ms (2.9%)

Memory
13.9MiB live, 287.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Rules
7 700×lower-fma.f64
7 700×lower-fma.f32
3 752×lower-*.f32
3 748×lower-*.f64
1 972×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
01123
12223
25621
313321
430921
563021
6113521
7400921
8704121
0809421
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize23.0ms (0.4%)

Memory
10.1MiB live, 47.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy14.06421319470436
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
16.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (65.5% of total)
ival-div: 2.0ms (21.8% of total)
ival-sub: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.9%)

Memory
-75.8MiB live, 66.2MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ x y)) 1/2) x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 x) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
43.0ms
x
@inf
(* (* x 2) y)
1.0ms
x
@inf
(* x 2)
1.0ms
y
@inf
(/ (- x y) (* (* x 2) y))
1.0ms
x
@inf
(/ (- x y) (* (* x 2) y))
1.0ms
x
@0
(/ (- x y) (* (* x 2) y))

simplify274.0ms (4.6%)

Memory
36.3MiB live, 415.5MiB allocated
Algorithm
egg-herbie
Rules
16 868×lower-fma.f64
16 868×lower-fma.f32
2 616×lower-*.f64
2 616×lower-*.f32
2 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040399
1106399
2239399
3553369
41457369
52639369
64362369
75570369
86051369
96296369
106416369
117573369
08021366
Stop Event
iter limit
node limit
Counts
84 → 81
Calls
Call 1
Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 x y)))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 (* x y))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite293.0ms (4.9%)

Memory
-24.8MiB live, 463.7MiB allocated
Rules
5 688×lower-/.f32
5 686×lower-/.f64
4 398×lower-*.f32
4 394×lower-*.f64
2 466×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0720
01120
14320
230118
3421918
01011818
Stop Event
iter limit
node limit
iter limit
Counts
4 → 623
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (/.f64 x (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) y) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (*.f64 x (*.f64 x (*.f64 y y))) #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 y x) (*.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 x y))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 y (+.f64 x y) (*.f64 x x))))))
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (*.f64 y (neg.f64 y))) (neg.f64 (+.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (+.f64 x y)) (*.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 x y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(pow.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (neg.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -2 binary64)))
(*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) y)
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

eval329.0ms (5.5%)

Memory
5.4MiB live, 118.4MiB allocated
Compiler

Compiled 16 841 to 1 711 computations (89.8% saved)

prune280.0ms (4.7%)

Memory
23.6MiB live, 181.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New6995704
Fresh000
Picked011
Done000
Total6996705
Accuracy
100.0%
Counts
705 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
78.0%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
88.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
50.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 97 to 63 computations (35.1% saved)

simplify331.0ms (5.5%)

Memory
-1.9MiB live, 165.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff384
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
cost-diff256
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff64
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Rules
5 820×lower-fma.f32
5 818×lower-fma.f64
3 468×lower-*.f32
3 466×lower-*.f64
2 140×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024114
036111
163111
2126105
3262104
4581104
51611104
64208104
77084104
08028104
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 y x)
y
x
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)

localize150.0ms (2.5%)

Memory
-25.8MiB live, 93.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y x)
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy0.01171875
(/.f64 (-.f64 y x) y)
accuracy7.838515781463
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
accuracy0
(/.f64 y x)
accuracy0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
accuracy0.00390625
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
accuracy7.644718488326456
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
accuracy0
(/.f64 #s(literal 1/2 binary64) y)
accuracy31.701002811577034
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0
(/.f64 #s(literal -1/2 binary64) x)
accuracy31.685461634395477
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0
(/.f64 #s(literal 1/2 binary64) x)
accuracy0.015625
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Samples
75.0ms256×0valid
Compiler

Compiled 101 to 24 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 36.0ms (77.1% of total)
ival-mult: 6.0ms (12.8% of total)
ival-sub: 3.0ms (6.4% of total)
ival-add: 1.0ms (2.1% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) x) (patch (/.f64 #s(literal -1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) (patch (/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* -1/2 (/ y x))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) y) (patch (/.f64 (-.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())) ())
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (/ (- y x) y) (* x -2))
1.0ms
y
@inf
(/ (/ (- y x) y) (* x -2))
0.0ms
y
@0
(- (/ 1/2 y) (/ 1/2 x))
0.0ms
y
@0
(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms
y
@inf
(/ (+ (* -1/2 (/ y x)) 1/2) y)

simplify680.0ms (11.3%)

Memory
-3.0MiB live, 542.6MiB allocated
Algorithm
egg-herbie
Rules
33 232×lower-fma.f64
33 232×lower-fma.f32
3 928×lower-+.f64
3 928×lower-+.f32
3 288×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0531608
11341608
23441608
310321392
420071392
533261392
646571392
752691392
855081392
956841392
1057221392
1158001392
1258541392
1362221392
1465501392
1565581392
1665621392
1765621392
083921374
Stop Event
iter limit
node limit
Counts
288 → 285
Calls
Call 1
Inputs
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 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)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1/2 (/ y x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))
(* -1/2 (/ y x))
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
(/ (+ (* -1/2 y) (* 1/2 x)) x)
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
1/2
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(+ 1/2 (* -1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
(*.f64 (-.f64 y x) (/.f64 #s(literal -1/2 binary64) (*.f64 y x)))
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(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

rewrite261.0ms (4.3%)

Memory
-28.3MiB live, 527.4MiB allocated
Rules
5 446×lower-/.f32
5 432×lower-/.f64
4 494×lower-*.f32
4 492×lower-*.f64
2 416×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02497
03697
115897
2131991
0820591
Stop Event
iter limit
node limit
iter limit
Counts
14 → 697
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 y x)
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 x #s(literal -2 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 x y) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (+.f64 y x))) (/.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (+.f64 y x))))
(-.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) y) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y (neg.f64 x))) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) x)) (/.f64 (*.f64 (neg.f64 y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 x y) (*.f64 y x))))
(/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 y x))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 y x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))) (-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64)))) (/.f64 x (*.f64 y (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 x y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 y #s(literal 1 binary64)))))
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(neg.f64 (neg.f64 (/.f64 (-.f64 y x) y)))
(/.f64 (-.f64 y x) y)
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (*.f64 y (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) y) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 y (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 y x))))
(/.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (*.f64 y (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y x)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x (+.f64 y x) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y x) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 y x))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))))
(pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y x))
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) y) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 (-.f64 y x) (+.f64 y x)))
(+.f64 y (neg.f64 x))
(+.f64 (neg.f64 x) y)
(-.f64 y x)
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 y (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) x y)
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 x)) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (+.f64 y x) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal -1/2 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)

eval136.0ms (2.3%)

Memory
28.7MiB live, 221.1MiB allocated
Compiler

Compiled 15 877 to 2 020 computations (87.3% saved)

prune294.0ms (4.9%)

Memory
-31.4MiB live, 208.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1 00801 008
Fresh000
Picked055
Done011
Total1 00861 014
Accuracy
100.0%
Counts
1 014 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.8%
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
78.0%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
88.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
50.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 98 to 56 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (-.f64 y x) y) (*.f64 x #s(literal -2 binary64)))
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
89.4%5x
88.0%5y
88.8%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes46.0ms (0.8%)

Memory
-30.9MiB live, 9.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

42.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
2.0ms
x
Results
AccuracySegmentsBranch
77.1%3y
60.4%6(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
78.0%3x
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
Results
AccuracySegmentsBranch
50.5%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
50.5%1y
50.5%1x
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch92.0ms (1.5%)

Memory
18.0MiB live, 56.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.150035498053302e+151
1.778569425358495e+153
13.0ms
2.6799808949294562e-195
2.297713406884562e-184
53.0ms
-6.8747097733929835e-161
-4.3746315933204635e-163
13.0ms
-1.4666651053232613e+123
-1.8828856353103665e+107
Samples
68.0ms544×0valid
Compiler

Compiled 660 to 454 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 50.0ms (87.6% of total)
ival-sub: 3.0ms (5.3% of total)
ival-div: 3.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (1%)

Memory
-12.2MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
52.0ms
9.900517677821662e-126
2.7018595401770246e-115
8.0ms
-2.769896356652035e-39
-3.652427414288125e-40
Samples
12.0ms256×0valid
Compiler

Compiled 238 to 172 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (46.5% of total)
ival-div: 2.0ms (31% of total)
ival-sub: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037140
143140
255140
363140
469140
571140
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -820000000000000037500061520629925491822711297774590093633968861155839787827829280473814924721986790244352379736436804419584 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5673165816829483/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 7960685379818181/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 88000000000000002674564808948130307266377408562695259913870667417469171562864910385749976318615001329864085586004881843345028482743407148652146641076224 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -3984488406251311/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 8722064691547283/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -820000000000000037500061520629925491822711297774590093633968861155839787827829280473814924721986790244352379736436804419584 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5673165816829483/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal 7960685379818181/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 88000000000000002674564808948130307266377408562695259913870667417469171562864910385749976318615001329864085586004881843345028482743407148652146641076224 binary64)) (/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -820000000000000037500061520629925491822711297774590093633968861155839787827829280473814924721986790244352379736436804419584 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5673165816829483/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) (if (<=.f64 x #s(literal 7960685379818181/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 88000000000000002674564808948130307266377408562695259913870667417469171562864910385749976318615001329864085586004881843345028482743407148652146641076224 binary64)) (/.f64 (-.f64 x y) (*.f64 y (*.f64 x #s(literal 2 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -3984488406251311/1532495540865888858358347027150309183618739122183602176 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 8722064691547283/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

soundness608.0ms (10.1%)

Memory
2.8MiB live, 284.5MiB allocated
Rules
16 868×lower-fma.f64
16 868×lower-fma.f32
5 688×lower-/.f32
5 686×lower-/.f64
4 398×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040399
1106399
2239399
3553369
41457369
52639369
64362369
75570369
86051369
96296369
106416369
117573369
08021366
0720
01120
14320
230118
3421918
01011818
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 122 to 62 computations (49.2% saved)

preprocess76.0ms (1.3%)

Memory
-26.9MiB live, 130.5MiB allocated
Compiler

Compiled 198 to 88 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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