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

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample729.0ms (16.2%)

Memory
-200.6MiB live, 808.1MiB allocated
Samples
401.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-div: 62.0ms (37.6% of total)
ival-sub: 48.0ms (29.1% of total)
ival-add: 41.0ms (24.9% of total)
ival-true: 6.0ms (3.6% of total)
exact: 5.0ms (3% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain88.0ms (2%)

Memory
-7.3MiB live, 149.9MiB 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
45.0ms512×0valid
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (43.9% of total)
ival-sub: 3.0ms (26.3% of total)
ival-add: 2.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess533.0ms (11.9%)

Memory
6.1MiB live, 315.7MiB 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 #s(literal 1/2 binary64) (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify880.0ms (19.6%)

Memory
8.8MiB live, 411.7MiB 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 #s(literal 1/2 binary64) (+.f64 x y))
x
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(*.f64 (-.f64 y x) #s(literal 1/2 binary64))
(-.f64 y x)
y
#s(literal 2 binary64)

localize21.0ms (0.5%)

Memory
-29.0MiB live, 48.7MiB 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
14.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (50.4% of total)
ival-div: 2.0ms (25.2% of total)
ival-sub: 1.0ms (12.6% 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
13.4MiB live, 13.4MiB 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 (* 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 (-.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 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 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 (-.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 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 (* 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 (* 1/2 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 (+ 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 (* 1/2 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 (* 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 (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify282.0ms (6.3%)

Memory
-17.5MiB live, 352.4MiB 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
2498279
31491279
45234279
57541279
08288279
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))
(* 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)
(* -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)
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
(* -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)
(* -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 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 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 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(+ x (* -1/2 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)
(* 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 (* 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 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* y (+ 1/2 (* -1/2 (/ x y))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1 (* y (- (* 1/2 (/ x y)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* x (- (* 1/2 (/ y x)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ x (* -1/2 x))
(*.f64 x #s(literal 1/2 binary64))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite229.0ms (5.1%)

Memory
16.8MiB live, 329.8MiB 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 y #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (+.f64 y x))))
(-.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(neg.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 y x) #s(literal 2 binary64))
(/.f64 (-.f64 x y) #s(literal -2 binary64))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 #s(literal 2 binary64) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 y x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 y #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 x y)) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 x y)) (*.f64 #s(literal -2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(literal -2 binary64) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (*.f64 y y) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (-.f64 y x) (+.f64 y x))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (+.f64 y x))
(/.f64 (-.f64 (*.f64 y (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
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(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))

eval62.0ms (1.4%)

Memory
13.5MiB live, 87.7MiB allocated
Compiler

Compiled 8 747 to 1 085 computations (87.6% saved)

prune119.0ms (2.6%)

Memory
-31.5MiB live, 141.9MiB 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
▶48.9%
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
▶100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
▶52.2%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify264.0ms (5.9%)

Memory
23.6MiB live, 331.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Rules
18 004×lower-fma.f64
18 004×lower-fma.f32
2 208×lower--.f64
2 208×lower--.f32
1 676×lower-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01456
01858
13158
24358
36358
410458
517358
637158
762550
8161950
9229350
10267050
11268650
12269850
13269850
14365350
15420850
16436450
17442250
18483050
19666950
20733350
0803150
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) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
#s(literal 1/2 binary64)
(+.f64 x y)
x
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
#s(literal 1/2 binary64)
(+.f64 x y)
x
y
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)

localize32.0ms (0.7%)

Memory
-11.2MiB live, 71.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy32.68715283788851
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
accuracy0
(+.f64 x y)
accuracy0
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
accuracy0
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
accuracy0
(*.f64 #s(literal 1/2 binary64) y)
accuracy30.583915255864383
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Samples
22.0ms256×0valid
Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 5.0ms (37% of total)
ival-mult: 4.0ms (29.6% of total)
ival-sub: 2.0ms (14.8% of total)
ival-div: 2.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<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) y)) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 x)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<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) (+.f64 x y))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 x) (* 1/2 y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
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#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 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 x #s(literal 1/2 binary64))) (patch #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify214.0ms (4.7%)

Memory
0.1MiB live, 263.9MiB 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
1153564
2370564
31193564
44200564
56780564
08063564
Stop Event
1×iter limit
1×node limit
Counts
144 → 138
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 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 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(+ x (* -1/2 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)
(* 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 (* 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)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 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 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(+ x (* -1/2 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)
(* 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 (* 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 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 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 (* 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 y))
(+ (* 1/2 x) (* 1/2 y))
(+ (* 1/2 x) (* 1/2 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))))
(* 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
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
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)
(* 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 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(+ x (* -1/2 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)
(* 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 (* 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 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
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)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
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 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (* -1/2 x))
(*.f64 #s(literal 1/2 binary64) x)
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y 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)
(* 1/2 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)
(* 1/2 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)

rewrite314.0ms (7%)

Memory
33.1MiB live, 351.2MiB allocated
Rules
4 656×lower-fma.f64
4 656×lower-fma.f32
3 888×lower-*.f32
3 882×lower-*.f64
3 454×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
01849
17149
253249
3674549
0831746
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 159
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x y))
(+.f64 x y)
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (/.f64 y #s(literal -2 binary64)))
(/.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/2 binary64))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/4 binary64)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 (-.f64 y x) #s(literal -1/2 binary64))) (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x y)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 y x) #s(literal 1/2 binary64))) (-.f64 y x))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64))
(/.f64 (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 y #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (neg.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 (neg.f64 y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x))) #s(literal 4 binary64))
(/.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 y))) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 y))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
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(+.f64 x y)
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(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 y x) (+.f64 x y))) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 x y))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (+.f64 x y))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 y x) (*.f64 (-.f64 y x) (-.f64 y x)))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x y))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))

eval33.0ms (0.7%)

Memory
-31.6MiB live, 54.4MiB allocated
Compiler

Compiled 3 823 to 443 computations (88.4% saved)

prune29.0ms (0.6%)

Memory
1.3MiB live, 39.3MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2970297
Fresh000
Picked033
Done000
Total2973300
Accuracy
100.0%
Counts
300 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.9%
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
✓100.0%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
✓52.2%
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 43 to 24 computations (44.2% saved)

regimes7.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
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 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

2.0ms
x
2.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
84.4%2x
83.0%2y
97.8%2(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB 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) y))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y))
Calls

3 calls:

1.0ms
(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
52.2%1y
52.2%1x
52.2%1(+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.2764450824504503e-278
1.0566768698067994e-275
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify12.0ms (0.3%)

Memory
-28.7MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
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 #s(literal 1/2 binary64) (+.f64 x y)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #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) y))
Outputs
#s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #s(approx (+ x (/ (- y x) 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (+.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (+ x (/ (- y x) 2)) (*.f64 x #s(literal 1/2 binary64))) #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))
#s(approx (+ x (/ (- y x) 2)) (*.f64 y #s(literal 1/2 binary64)))

soundness595.0ms (13.2%)

Memory
-3.3MiB live, 205.2MiB 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
2498279
31491279
45234279
57541279
08288279
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 47 to 28 computations (40.4% saved)

preprocess34.0ms (0.8%)

Memory
12.8MiB live, 88.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 124 to 70 computations (43.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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