Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

Time bar (total: 26.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.1%)

Memory
-10.6MiB live, 33.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
68.8%68.7%31.2%0.1%0%0%0%6
78.1%78%21.9%0.1%0%0%0%7
82.8%82.7%17.2%0.1%0%0%0%8
88.3%88.2%11.7%0.1%0%0%0%9
91%90.9%9%0.1%0%0%0%10
93.9%93.9%6%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.9s (7%)

Memory
43.7MiB live, 828.1MiB allocated
Samples
1.2s8 254×0valid
0.0ms3valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 719.0ms
ival-sub: 288.0ms (40.1% of total)
ival-mult: 159.0ms (22.1% of total)
ival-div: 152.0ms (21.1% of total)
ival-add: 102.0ms (14.2% of total)
exact: 8.0ms (1.1% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain18.2s (68.8%)

Memory
-23.1MiB live, 213.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-y
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
9.1s512×0valid
Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.1s
ival-sub: 9.0s (99.8% of total)
ival-div: 7.0ms (0.1% of total)
ival-mult: 4.0ms (0% of total)
ival-add: 2.0ms (0% of total)
ival-true: 1.0ms (0% of total)
exact: 1.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess74.0ms (0.3%)

Memory
-7.5MiB live, 80.8MiB allocated
Algorithm
egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
272×lower-*.f32
270×lower-*.f64
224×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02363
15761
212157
325355
454155
588855
699555
7101955
8102955
9103355
0911
01411
12211
23311
34811
49011
516311
628411
737911
858911
967911
1080111
1183711
12100011
13100911
0100910
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify40.0ms (0.2%)

Memory
8.2MiB live, 43.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff0
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff384
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
384×lower-fma.f64
384×lower-fma.f32
272×lower-*.f32
270×lower-*.f64
224×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01439
12239
23339
34839
49039
516339
628439
737939
858939
967939
1080139
1183739
12100039
13100939
0100936
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
Outputs
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
#s(literal 2 binary64)

localize25.0ms (0.1%)

Memory
24.3MiB live, 63.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.00390625
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy8.019984185516416
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
Samples
15.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.2% of total)
ival-mult: 2.0ms (24.8% of total)
ival-sub: 1.0ms (12.4% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0%)

Memory
-3.0MiB live, 35.8MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (/.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

30 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@-inf
(- x (/ y (+ 1 (/ (* x y) 2))))
1.0ms
x
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
y
@inf
(- x (/ y (+ 1 (/ (* x y) 2))))

simplify231.0ms (0.9%)

Memory
-18.6MiB live, 453.1MiB allocated
Algorithm
egg-herbie
Rules
13 558×lower-fma.f64
13 558×lower-fma.f32
4 930×lower-*.f64
4 930×lower-*.f32
1 854×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311053
17381018
21942987
36081981
08428934
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (-.f64 x y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x)))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x y)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y)))) (*.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 x (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (-.f64 x (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x)))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (-.f64 x (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x)))))
y
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal -1/8 binary64)))))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x)))))
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 x (*.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 (*.f64 y y) (fma.f64 x (*.f64 y #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) (/.f64 #s(literal -16 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x y)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x y))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 y y))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 y y))))) x)) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite271.0ms (1%)

Memory
-6.0MiB live, 405.4MiB allocated
Rules
5 754×lower-fma.f64
5 754×lower-fma.f32
4 124×lower-*.f32
4 122×lower-*.f64
2 962×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
16335
250035
3687335
0852732
Stop Event
iter limit
node limit
iter limit
Counts
5 → 279
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x y)
Outputs
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (*.f64 x (neg.f64 y)) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
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(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 x)) y)

eval49.0ms (0.2%)

Memory
18.8MiB live, 139.7MiB allocated
Compiler

Compiled 11 052 to 1 049 computations (90.5% saved)

prune66.0ms (0.2%)

Memory
1.0MiB live, 168.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3877394
Fresh000
Picked101
Done000
Total3887395
Accuracy
100.0%
Counts
395 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
63.3%
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
63.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
64.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
60.2%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
74.7%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
28.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Compiler

Compiled 132 to 78 computations (40.9% saved)

simplify95.0ms (0.4%)

Memory
-22.5MiB live, 95.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
cost-diff0
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(-.f64 x y)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
cost-diff0
(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
Rules
1 384×lower-fma.f32
1 378×lower-fma.f64
664×lower-*.f32
660×lower-*.f64
274×distribute-lft-neg-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
026144
040144
170144
2120144
3187144
4377144
5713141
61097139
71431139
81610139
91736139
101823139
111935139
121952139
131961139
141968139
151969139
01969139
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
x
(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
y
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
x
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
y
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 x y)
x
#s(literal -1 binary64)
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(+.f64 x (/.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
x
(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
y
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
x
y
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
x
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
y
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(*.f64 x y)
x
#s(literal -1 binary64)

localize64.0ms (0.2%)

Memory
16.7MiB live, 135.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
accuracy0
(*.f64 x y)
accuracy0.02734375
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
accuracy23.029317657867953
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy30.201998629908275
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy0
(-.f64 x y)
accuracy16.214899226745544
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy0
(neg.f64 y)
accuracy46.06567019735219
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy0
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
accuracy0
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
accuracy0
(*.f64 y #s(literal 1/2 binary64))
accuracy8.019984185516416
(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 127 to 25 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.1% of total)
ival-div: 7.0ms (28.1% of total)
ival-add: 4.0ms (16% of total)
ival-sub: 3.0ms (12% of total)
exact: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
-5.9MiB live, 32.4MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/2 binary64)) (patch (*.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (patch (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) (patch #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (patch (-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x))) (taylor -inf y) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) (taylor 0 x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) (taylor 0 x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2))))) (taylor 0 x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) (taylor inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) (patch (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x y)) 1) (taylor 0 y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#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>) () ())) ())
#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>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

81 calls:

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

simplify267.0ms (1%)

Memory
19.7MiB live, 453.2MiB allocated
Algorithm
egg-herbie
Rules
12 856×lower-fma.f64
12 856×lower-fma.f32
4 554×lower-*.f64
4 554×lower-*.f32
2 528×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02783213
18753109
223703007
370872993
083192814
Stop Event
iter limit
node limit
Counts
324 → 301
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 x y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x)))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x)))))
y
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 y (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x #s(literal -1/2 binary64))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))))
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 y y))) (*.f64 x x)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
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1
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(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))))
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x (*.f64 y (*.f64 y y))) (*.f64 x x)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 #s(literal -16 binary64) (*.f64 x (*.f64 y (*.f64 y y))))) (*.f64 x x)) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 x y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 x (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x)))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(fma.f64 y (*.f64 y (*.f64 x #s(literal 1/2 binary64))) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/2 (* x y))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/2 (* x y))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(- (* 1/2 (* x y)) 1)
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/2 (* x y))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* 1/2 (* x y))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite403.0ms (1.5%)

Memory
9.6MiB live, 406.5MiB allocated
Rules
4 694×lower-*.f32
4 690×lower-*.f64
4 434×lower-/.f32
4 430×lower-/.f64
4 348×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026131
040131
1188126
21578126
08121126
Stop Event
iter limit
node limit
iter limit
Counts
15 → 387
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 y)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x y)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
(*.f64 x y)
Outputs
(+.f64 x (neg.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))) (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))) (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))) (+.f64 x (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))) (-.f64 x (neg.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))))
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))) x)
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(*.f64 x y)
(*.f64 y x)

eval245.0ms (0.9%)

Memory
-15.5MiB live, 143.6MiB allocated
Compiler

Compiled 14 670 to 1 246 computations (91.5% saved)

prune243.0ms (0.9%)

Memory
16.2MiB live, 132.1MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6844688
Fresh202
Picked145
Done000
Total6878695
Accuracy
100.0%
Counts
695 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
63.3%
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
64.0%
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
63.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
60.2%
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
74.7%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
28.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
29.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Compiler

Compiled 79 to 46 computations (41.8% saved)

simplify395.0ms (1.5%)

Memory
-0.5MiB live, 155.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
cost-diff0
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))
cost-diff0
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
cost-diff512
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
cost-diff0
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Rules
6 154×lower-fma.f32
6 148×lower-fma.f64
2 934×lower-*.f32
2 922×lower-*.f64
2 664×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040224
055222
1110222
2188216
3274216
4414216
5738216
61492216
72725216
86062216
08262207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
y
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
x
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
y
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
x
(/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
y
#s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
y
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (+.f64 x (/.f64 #s(literal -2 binary64) x)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) y)))
x
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) y))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/2 binary64))) y)
y
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
x
(/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
y
#s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize456.0ms (1.7%)

Memory
-157.0MiB live, 103.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy8.019984185516416
(/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
accuracy30.049528026168918
#s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
accuracy0
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
accuracy0
(*.f64 x #s(literal -1/2 binary64))
accuracy0.05859375
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
accuracy33.50735254118063
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))
accuracy0
(*.f64 x x)
accuracy0.6225930682932458
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy14.505241114106104
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
accuracy23.44864922201512
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.0625
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
accuracy22.987462061139045
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
accuracy23.029317657867953
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Samples
234.0ms256×0valid
Compiler

Compiled 155 to 36 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.8% of total)
ival-add: 8.0ms (21.8% of total)
ival-div: 6.0ms (16.4% of total)
ival-sub: 2.0ms (5.5% of total)
exact: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series87.0ms (0.3%)

Memory
-5.3MiB live, 31.5MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (patch (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))) (patch (-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)) (patch #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)) #<representation binary64>) () ())
#s(alt (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y) (patch (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) (patch (-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (patch (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.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>) () ())
#s(alt (*.f64 x #s(literal -1/2 binary64)) (patch (*.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
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#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))) (taylor inf x) (#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1/2 x) (/ 1 y)))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (* x y))) (taylor 0 x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/2 y) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf y) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 y (*.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>) () ())) ())
#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

93 calls:

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

simplify465.0ms (1.8%)

Memory
41.7MiB live, 316.7MiB allocated
Algorithm
egg-herbie
Rules
10 996×lower-fma.f64
10 996×lower-fma.f32
3 750×lower-*.f64
3 750×lower-*.f32
3 456×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02793677
18873612
224073282
372543186
082633014
Stop Event
iter limit
node limit
Counts
372 → 351
Calls
Call 1
Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 y)
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* -1 y)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
-1
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(- (* 1/2 (* x y)) 1)
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (- (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* -1/2 (* x y))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* -1/2 (* x (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* -1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1/2 (* x y))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
y
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ 2 x)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(* 1/2 (* x y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/2 (* x y))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 (* x y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -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 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (-.f64 x y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (neg.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x) (+.f64 x (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x))))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))))) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (+.f64 (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 x (*.f64 x x)) x)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 y x)))) x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 y (+.f64 (/.f64 x y) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 y (+.f64 (/.f64 x y) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(fma.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(fma.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
(*.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
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(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))

rewrite245.0ms (0.9%)

Memory
-19.5MiB live, 414.6MiB allocated
Rules
4 650×lower-*.f32
4 638×lower-*.f64
4 560×lower-/.f32
4 556×lower-/.f64
3 532×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040209
055207
1278207
21745201
08119192
Stop Event
iter limit
node limit
iter limit
Counts
18 → 321
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
#s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y))
(fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)
(*.f64 y (*.f64 x #s(literal -1/2 binary64)))
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
Outputs
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(+.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y))))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (neg.f64 y))
(fma.f64 y (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)))
(fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y) (neg.f64 y))
(fma.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y) (neg.f64 y))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x y) (neg.f64 y))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) x (neg.f64 y))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y)))
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) y) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) y)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 y (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) y #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
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(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 x y)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)

eval96.0ms (0.4%)

Memory
1.5MiB live, 202.2MiB allocated
Compiler

Compiled 12 263 to 1 033 computations (91.6% saved)

prune141.0ms (0.5%)

Memory
14.9MiB live, 176.9MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New6842686
Fresh000
Picked134
Done044
Total6859694
Accuracy
100.0%
Counts
694 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
63.3%
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
63.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
60.2%
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
13.8%
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
74.7%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
28.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
29.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
29.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Compiler

Compiled 86 to 50 computations (41.9% saved)

simplify202.0ms (0.8%)

Memory
10.6MiB live, 285.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
cost-diff0
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
cost-diff0
(*.f64 y (*.f64 x y))
cost-diff0
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))
cost-diff0
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
cost-diff128
(fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))
Rules
5 824×lower-fma.f32
5 822×lower-fma.f64
2 824×lower-*.f32
2 820×lower-*.f64
2 638×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034119
041119
180119
2140111
3240111
4457111
5912111
61690111
72744111
85938111
08150102
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))
(fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 y (*.f64 x y))
y
(*.f64 x y)
x
#s(literal 1/2 binary64)
(neg.f64 y)
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)))
(*.f64 y (*.f64 x y))
y
(*.f64 x y)
x
#s(literal 1/2 binary64)
(neg.f64 y)
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x

localize132.0ms (0.5%)

Memory
-16.3MiB live, 150.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy23.44864922201512
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
accuracy32.033027077017344
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
accuracy0
(neg.f64 y)
accuracy0.140625
(*.f64 y (*.f64 x y))
accuracy22.987462061139045
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))
accuracy23.029317657867953
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
Samples
92.0ms256×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 48.0ms (59.3% of total)
ival-mult: 18.0ms (22.2% of total)
ival-add: 10.0ms (12.4% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series109.0ms (0.4%)

Memory
-23.2MiB live, 14.9MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))) (patch #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 y) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/2 (* x y)) 1)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 1/2 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x (pow y 2))) y) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x (pow y 2))) y) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* x (pow y 2))) y) (taylor 0 x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* x (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) (patch #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 y (*.f64 x y)) (patch (*.f64 y (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 (pow y 2)))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y) (taylor 0 x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y)))))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* 1/2 (* x y)) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x))) (taylor -inf y) (#s(alt #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) (patch #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow x 2) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow x 2) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (pow x 2) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify505.0ms (1.9%)

Memory
37.9MiB live, 544.1MiB allocated
Algorithm
egg-herbie
Rules
20 400×lower-fma.f64
20 400×lower-fma.f32
4 062×lower-*.f64
4 062×lower-*.f32
3 590×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01671410
14981403
213831379
341281363
082501271
Stop Event
iter limit
node limit
Counts
156 → 147
Calls
Call 1
Inputs
(* -1 y)
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* y (- (* 1/2 (* x y)) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* -1 y)
(- (* 1/2 (* x (pow y 2))) y)
(- (* 1/2 (* x (pow y 2))) y)
(- (* 1/2 (* x (pow y 2))) y)
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
x
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(/ -2 x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
(/ (- (pow x 2) 2) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* y (- (* 1/2 (* x y)) 1))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* -1 y)
(neg.f64 y)
(- (* 1/2 (* x (pow y 2))) y)
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(- (* 1/2 (* x (pow y 2))) y)
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(- (* 1/2 (* x (pow y 2))) y)
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(*.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* 1/2 (* x (pow y 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(*.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) y)))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* x (pow y 2))
(*.f64 y (*.f64 y x))
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (fma.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) x) y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64))) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(+.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x))))
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal -2 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(+.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x x))))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 y (fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 y (fma.f64 y (*.f64 x (fma.f64 y (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))))
(- x (* 2 (/ 1 x)))
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 y (*.f64 x x))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (+.f64 x (/.f64 #s(literal -2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 x (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y x))) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x)))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
(/ (- (pow x 2) 2) x)
(+.f64 x (/.f64 #s(literal -2 binary64) x))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
x
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

rewrite344.0ms (1.3%)

Memory
22.8MiB live, 493.5MiB allocated
Rules
5 456×lower-fma.f32
5 454×lower-fma.f64
4 986×lower-*.f32
4 982×lower-*.f64
4 634×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034111
041111
1207111
21733103
0864194
Stop Event
iter limit
node limit
iter limit
Counts
8 → 155
Calls
Call 1
Inputs
(fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 y (*.f64 x y))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(neg.f64 y)
Outputs
(+.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))
(+.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))
(-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))))
(-.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)) (/.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))))
(fma.f64 y (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) (neg.f64 y))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 y x)) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y x))) (neg.f64 y))
(fma.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) y (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y x) (neg.f64 y))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (neg.f64 y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y))) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) y))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 y)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y)))) (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y)))) (neg.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) y))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))))
(/.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) y)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 y (*.f64 y x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 y (*.f64 x (neg.f64 y))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 x (neg.f64 y)) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) y) y)) (*.f64 (+.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 y (*.f64 y x)))) (*.f64 (+.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 y (*.f64 x (neg.f64 y))))) (*.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -2 binary64) (*.f64 (+.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x (neg.f64 y)) y))) (*.f64 (+.f64 #s(literal 0 binary64) y) #s(literal -2 binary64)))
(/.f64 (fma.f64 y (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 y (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y x)) (+.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 x (neg.f64 y))) (+.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (+.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))) (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64))) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (fma.f64 y y (*.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal -1 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y)) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y)))) #s(literal -1 binary64))
(*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y))) (*.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)) (*.f64 y y) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) y)) (neg.f64 y))))
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 y (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) (*.f64 y x)) #s(literal 1/4 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) x)
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) x)) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal -2 binary64) x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) x) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) x)) (neg.f64 x))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 x (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)

eval44.0ms (0.2%)

Memory
-36.5MiB live, 82.2MiB allocated
Compiler

Compiled 5 363 to 475 computations (91.1% saved)

prune95.0ms (0.4%)

Memory
-23.0MiB live, 89.8MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3011302
Fresh000
Picked022
Done167
Total3029311
Accuracy
100.0%
Counts
311 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
63.3%
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
63.4%
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
11.2%
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))))
13.8%
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
74.7%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
28.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
29.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
29.0%
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
Compiler

Compiled 216 to 94 computations (56.5% saved)

regimes16.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes21.0ms (0.1%)

Memory
-13.3MiB live, 24.0MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (*.f64 y (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal -1 binary64)) x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* y (+ (* 1/2 (* x y)) -1)) x) (fma.f64 (*.f64 y (*.f64 x y)) #s(literal 1/2 binary64) (neg.f64 y))))
(-.f64 x #s(approx (/ y (+ (* (* y 1/2) x) 1)) (fma.f64 y (*.f64 y (*.f64 x #s(literal -1/2 binary64))) y)))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) (fma.f64 x (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(-.f64 x (/.f64 y #s(approx (+ (* (* y 1/2) x) 1) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
Calls

3 calls:

11.0ms
y
4.0ms
x
4.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.7%3x
91.4%3y
87.3%3(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
Outputs
#s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Calls

3 calls:

2.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
74.7%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
74.7%1x
78.7%2y
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0%)

Memory
-23.6MiB live, 13.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms
y
Results
AccuracySegmentsBranch
74.7%1x
74.7%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
74.7%1y
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
28.0%1y
28.0%1x
28.0%1(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch25.0ms (0.1%)

Memory
17.4MiB live, 54.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.3275538409007365e+192
8.565052948598522e+192
12.0ms
-6.169041083422649e+78
-6.7212827242804386e+75
Samples
12.0ms224×0valid
Compiler

Compiled 240 to 154 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41.9% of total)
ival-mult: 2.0ms (27.9% of total)
ival-sub: 1.0ms (14% of total)
ival-add: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0%)

Memory
-31.3MiB live, 13.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
-8.355387397921626e+181
-5.980612559404355e+181
Samples
2.0ms48×0valid
Compiler

Compiled 61 to 41 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 1.0ms (68.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
14×sub-neg_binary64
10×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043136
155136
267136
374136
478136
579136
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal -66000000000000003374536672680185354940164741671665330739438321134502408753840037507071033534967293155400001427157047916395198166925634625035834458274419003965028095124185986499608576 binary64)) #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 3499999999999999826570166845091089407057842178783636107891949147496176232221280247531818879523068212802478058076054760381690939451384316420862848740947671803354662565317048152384621575449608192 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal -66000000000000003374536672680185354940164741671665330739438321134502408753840037507071033534967293155400001427157047916395198166925634625035834458274419003965028095124185986499608576 binary64)) #s(approx (- x (/ y (+ (* (* y 1/2) x) 1))) #s(approx (+ (* x (/ -2 (* x x))) x) (/.f64 #s(literal -2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness796.0ms (3%)

Memory
7.5MiB live, 522.8MiB allocated
Rules
13 558×lower-fma.f64
13 558×lower-fma.f32
12 856×lower-fma.f64
12 856×lower-fma.f32
10 996×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01435
16335
250035
3687335
0852732
02783213
18753109
223703007
370872993
083192814
02793677
18873612
224073282
372543186
082633014
02311053
17381018
21942987
36081981
08428934
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 140 to 77 computations (45% saved)

preprocess69.0ms (0.3%)

Memory
-7.6MiB live, 66.0MiB allocated
Compiler

Compiled 138 to 66 computations (52.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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