Numeric.Interval.Internal:bisect from intervals-0.7.1, A

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.6s (34.6%)

Memory
-8.6MiB live, 781.7MiB allocated
Samples
776.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 563.0ms
ival-sub: 336.0ms (59.7% of total)
ival-add: 110.0ms (19.6% of total)
ival-div: 105.0ms (18.7% of total)
ival-true: 5.0ms (0.9% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain75.0ms (1.7%)

Memory
10.6MiB live, 122.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
00-0-(-.f64 y x)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 y x) #s(literal 2 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.1% of total)
ival-div: 3.0ms (32.1% of total)
ival-add: 2.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess372.0ms (8.2%)

Memory
-6.1MiB live, 236.3MiB allocated
Algorithm
1×egg-herbie
Rules
19 132×lower-fma.f64
19 132×lower-fma.f32
3 330×associate-+r+
2 008×associate-+r-
1 940×lower-+.f32
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01641
14435
213735
338029
464425
594225
6232525
7310025
8341725
9351625
10358125
11358425
12360025
13360925
14360925
15360925
16360925
067
097
1157
2267
3467
4877
51507
63267
75326
812675
919835
1023945
1124125
1224265
1324265
1433665
1539095
1640655
1741245
1845325
1963725
2070365
2179685
083225
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
Symmetry

(sort x y)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify230.0ms (5.1%)

Memory
16.4MiB live, 248.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff192
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
cost-diff384
(/.f64 (-.f64 y x) #s(literal 2 binary64))
Rules
19 132×lower-fma.f64
19 132×lower-fma.f32
1 940×lower-+.f32
1 938×lower-+.f64
1 884×lower--.f32
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
0618
0918
11518
22618
34618
48718
515018
632618
753217
8126716
9198316
10239416
11241216
12242616
13242616
14336616
15390916
16406516
17412416
18453216
19637216
20703616
21796816
0832216
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)
Outputs
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(-.f64 y x)
y
#s(literal 2 binary64)

localize16.0ms (0.4%)

Memory
-11.1MiB live, 37.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (-.f64 y x) #s(literal 2 binary64))
accuracy0
(-.f64 y x)
accuracy0.01953125
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.6% of total)
ival-div: 2.0ms (31.1% 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)

series4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* -1/2 x) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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 (* 1/2 y) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* -1/2 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* -1/2 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* -1/2 (/ x y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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 (* 1/2 y) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* 1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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 (* 1/2 y) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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 (* -1/2 x) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ y x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ y x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (/ y x)) 1/2)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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 (* -1/2 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/2 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/2 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/2 (* -1/2 (/ y x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) #s(literal 2 binary64)) (patch (/.f64 (-.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (patch (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #<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>) () ())) ())
Calls

6 calls:

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

simplify154.0ms (3.4%)

Memory
-3.4MiB live, 108.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 600×lower-fma.f64
12 600×lower-fma.f32
1 834×lower-*.f64
1 834×lower-*.f32
1 602×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057315
1177315
2499279
31522279
45228279
57510279
08268279
Stop Event
1×iter limit
1×node limit
Counts
72 → 69
Calls
Call 1
Inputs
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* -1 x)
(- y x)
(- y x)
(- y x)
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* 1/2 y)
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* x (- (* 1/2 (/ y x)) 1/2))
(* x (- (* 1/2 (/ y x)) 1/2))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
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)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
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)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -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)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -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)

rewrite222.0ms (4.9%)

Memory
10.1MiB live, 257.5MiB allocated
Rules
4 080×lower-fma.f64
4 080×lower-fma.f32
3 840×lower-*.f64
3 840×lower-*.f32
2 598×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14815
240015
3508215
0821114
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 344
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 y x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (*.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (-.f64 x y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) (+.f64 x y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (+.f64 x y) #s(literal 2 binary64)))
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(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(*.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(*.f64 (+.f64 x y) (*.f64 (-.f64 y x) (pow.f64 (+.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 x y)) (*.f64 x (/.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 x y) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x y) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 x y) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (*.f64 y (/.f64 y (+.f64 x y))) (*.f64 x (/.f64 x (+.f64 x y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 y (+.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 x y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x y) x (*.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval51.0ms (1.1%)

Memory
-5.3MiB live, 112.5MiB allocated
Compiler

Compiled 7 283 to 1 107 computations (84.8% saved)

prune7.0ms (0.2%)

Memory
-15.9MiB live, 22.6MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4103413
Fresh000
Picked101
Done000
Total4113414
Accuracy
100.0%
Counts
414 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶51.4%
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
▶50.1%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify214.0ms (4.7%)

Memory
35.9MiB live, 187.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Rules
18 052×lower-fma.f64
18 052×lower-fma.f32
2 344×lower--.f64
2 344×lower--.f32
1 828×lower-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01456
01856
12856
24156
36156
410256
517156
636856
760950
8151450
9218850
10256550
11258150
12259350
13259350
14355250
15410450
16426050
17431850
18472650
19657050
20723450
0807650
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.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)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.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)) (*.f64 y #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

localize28.0ms (0.6%)

Memory
-22.0MiB live, 54.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy0
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy31.119697744411642
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy31.931549871280506
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Samples
21.0ms256×0valid
Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.5% of total)
ival-div: 2.0ms (19.8% of total)
ival-add: 2.0ms (19.8% of total)
ival-sub: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.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)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/2 x) (* 1/2 y))) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/2 (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2))) (taylor -inf y) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify153.0ms (3.4%)

Memory
-22.9MiB live, 138.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 724×lower-fma.f64
14 724×lower-fma.f32
2 174×lower-*.f64
2 174×lower-*.f32
1 654×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050564
1152564
2369564
31199564
44189564
56759564
08074564
Stop Event
1×iter limit
1×node limit
Counts
144 → 138
Calls
Call 1
Inputs
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
x
(+ x y)
(+ x y)
(+ x y)
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(+ x y)
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* 1/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite476.0ms (10.5%)

Memory
11.7MiB live, 186.1MiB allocated
Rules
4 316×lower-fma.f64
4 316×lower-fma.f32
3 832×lower-*.f32
3 826×lower-*.f64
3 424×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
01849
16449
247649
3630649
0808346
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 213
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(neg.f64 (/.f64 y #s(literal -2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (+.f64 y x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (-.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
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(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) x)))
(fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 (*.f64 (+.f64 y x) x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) y))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 y (neg.f64 x))
(+.f64 (-.f64 y #s(literal 0 binary64)) x)
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 y x) x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 y #s(literal 1 binary64)) x)
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) y) x)
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x (*.f64 y #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x y)

eval244.0ms (5.4%)

Memory
-30.4MiB live, 55.8MiB allocated
Compiler

Compiled 4 779 to 799 computations (83.3% saved)

prune10.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3510351
Fresh000
Picked033
Done000
Total3513354
Accuracy
100.0%
Counts
354 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓51.4%
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
✓50.1%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory
9.3MiB live, 9.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
Calls

3 calls:

2.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.4%)

Memory
-25.6MiB live, 13.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
Calls

3 calls:

16.0ms
y
2.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
85.6%2x
83.5%2y
98.2%2(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
50.1%1y
50.1%1x
50.1%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.254977822804925e-276
2.5756726192373266e-280
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify123.0ms (2.7%)

Memory
-15.9MiB live, 68.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative-binary64-*.f64
8×+-commutative-binary64-+.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×neg-sub0-binary64--.f64-neg.f64
2×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02056
12756
23256
33456
43556
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 (+.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal -6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) x))

soundness497.0ms (10.9%)

Memory
8.2MiB live, 204.3MiB allocated
Rules
12 600×lower-fma.f64
12 600×lower-fma.f32
1 834×lower-*.f64
1 834×lower-*.f32
1 602×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057315
1177315
2499279
31522279
45228279
57510279
08268279
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 42 to 34 computations (19% saved)

preprocess54.0ms (1.2%)

Memory
0.3MiB live, 160.7MiB allocated
Remove

(sort x y)

Compiler

Compiled 104 to 80 computations (23.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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