Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze36.0ms (0.5%)

Memory
-0.3MiB live, 36.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.5s (21.1%)

Memory
3.8MiB live, 1 153.3MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
ival-div: 401.0ms (54.3% of total)
ival-mult: 165.0ms (22.3% of total)
ival-add: 157.0ms (21.3% of total)
ival-true: 7.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain102.0ms (1.4%)

Memory
21.5MiB live, 233.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-0-(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
00-0-(/.f64 x y)
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 x y) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))o/n310
(/.f64 x y)overflow35
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow66
(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow35
Confusion
Predicted +Predicted -
+310
-0225
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-00225
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.7% of total)
ival-add: 5.0ms (29.8% of total)
ival-mult: 3.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess175.0ms (2.5%)

Memory
-21.9MiB live, 90.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02265
18157
220755
368055
4165455
5310955
6444755
7505355
8560955
9605555
10615155
11665355
12706155
13728155
14759355
15781755
16782555
17782555
0811
01311
12611
23511
36311
410011
515711
623811
726911
827511
928911
1029111
1129111
1229211
1329411
1430211
030210
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify26.0ms (0.4%)

Memory
-13.5MiB live, 69.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff128
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12632
23532
36332
410032
515732
623832
726932
827532
928932
1029132
1129132
1229232
1329432
1430232
030230
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize22.0ms (0.3%)

Memory
30.1MiB live, 69.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.078125
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy7.289527892677351
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.4% of total)
ival-add: 2.0ms (24.7% of total)
ival-mult: 2.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-19.8MiB live, 18.8MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<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 (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 x)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<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 (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<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 (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (/ 1 y) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.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 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<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 (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<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 (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
22.0ms
x
@inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
2.0ms
x
@-inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
y
@-inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
y
@0
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
y
@inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))

simplify240.0ms (3.4%)

Memory
5.0MiB live, 279.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090745
1250724
2660648
33420635
09161612
Stop Event
iter limit
node limit
Counts
108 → 102
Calls
Call 1
Inputs
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(*.f64 (/.f64 x y) (+.f64 y x))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 (/.f64 x y) (+.f64 y x))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 (/.f64 x y) (+.f64 y x))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) x)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal -1 binary64)) x) x (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite209.0ms (2.9%)

Memory
-25.4MiB live, 230.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
16229
245429
3706829
0804427
Stop Event
iter limit
node limit
iter limit
Counts
5 → 397
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
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eval99.0ms (1.4%)

Memory
14.8MiB live, 130.4MiB allocated
Compiler

Compiled 9 670 to 1 220 computations (87.4% saved)

prune45.0ms (0.6%)

Memory
-5.3MiB live, 38.4MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New48811499
Fresh000
Picked101
Done000
Total48911500
Accuracy
100.0%
Counts
500 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
69.7%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
88.5%
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
39.2%
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
88.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
52.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
54.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
89.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
51.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
39.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
Compiler

Compiled 226 to 168 computations (25.7% saved)

simplify168.0ms (2.4%)

Memory
24.3MiB live, 64.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x x)
cost-diff384
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 y x y)
cost-diff0
(/.f64 x (fma.f64 y x y))
cost-diff0
(*.f64 (/.f64 x (fma.f64 y x y)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) x)
cost-diff0
(fma.f64 (-.f64 (/.f64 x y) x) x x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
cost-diff512
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
043177
183177
2117174
3248174
4485174
5936174
61392174
72175174
84298174
96810174
107891174
08021174
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 y x)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
x
(fma.f64 y x y)
y
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 y x)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
x
(fma.f64 y x y)
y
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize97.0ms (1.4%)

Memory
9.4MiB live, 45.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0703125
(fma.f64 (/.f64 x y) x x)
accuracy7.289527892677351
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
accuracy0
(fma.f64 y x y)
accuracy0.19140625
(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy8.576438122583264
(/.f64 x (fma.f64 y x y))
accuracy31.61003143630698
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
accuracy0
(/.f64 x y)
accuracy0.0078125
(-.f64 (/.f64 x y) x)
accuracy0.04296875
(fma.f64 (-.f64 (/.f64 x y) x) x x)
accuracy29.392895408800904
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
accuracy0
(/.f64 x y)
accuracy38.71269235822371
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
accuracy0.00390625
(/.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy0.01171875
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
accuracy6.822675505600404
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
Samples
82.0ms256×0valid
Compiler

Compiled 154 to 25 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 41.0ms (60% of total)
ival-div: 18.0ms (26.4% of total)
ival-add: 8.0ms (11.7% of total)
ival-sub: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series91.0ms (1.3%)

Memory
-15.1MiB live, 21.1MiB allocated
Counts
16 → 360
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.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 (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 x)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 x)) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 x)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
67.0ms
y
@0
((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
4.0ms
y
@-inf
((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
3.0ms
x
@-inf
((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
2.0ms
y
@inf
((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))
2.0ms
x
@inf
((/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1))

simplify238.0ms (3.3%)

Memory
20.7MiB live, 172.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02674058
18293847
223433342
084443182
Stop Event
iter limit
node limit
Counts
360 → 344
Calls
Call 1
Inputs
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (+ 1 x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (* x y) (+ 1 x))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (* x y) (+ 1 x))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x y)
(* x (+ y (* x (- 1 y))))
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(/ x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (+ 1 x))
(*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (fma.f64 (neg.f64 x) y x) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (fma.f64 (neg.f64 x) y x) y)
(/ (+ x (* -1 (* x y))) y)
(/.f64 (fma.f64 (neg.f64 x) y x) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 y x)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 y x)) y)
(/ (+ (* x y) (pow x 2)) y)
(/.f64 (*.f64 x (+.f64 y x)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ (* x y) (+ 1 x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) y)
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ x (* -1 (pow x 2)))
(-.f64 x (*.f64 x x))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
x
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
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rewrite296.0ms (4.1%)

Memory
-37.3MiB live, 249.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026156
043152
1195150
21470150
08215150
Stop Event
iter limit
node limit
iter limit
Counts
16 → 616
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
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#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(-.f64 (/.f64 x y) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
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Outputs
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eval154.0ms (2.2%)

Memory
24.1MiB live, 172.5MiB allocated
Compiler

Compiled 18 483 to 2 702 computations (85.4% saved)

prune53.0ms (0.7%)

Memory
-19.3MiB live, 69.2MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 041131 054
Fresh606
Picked325
Done000
Total1 050151 065
Accuracy
100.0%
Counts
1 065 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
53.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
43.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
69.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
52.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
36.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
99.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
45.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
39.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x)))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
18.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
39.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
38.8%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 247 to 192 computations (22.3% saved)

simplify148.0ms (2.1%)

Memory
19.2MiB live, 129.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x y)
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
cost-diff0
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
cost-diff128
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (/ x y) x) (neg.f64 x))
cost-diff0
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
cost-diff0
(/.f64 (+.f64 y x) y)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
cost-diff320
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
cost-diff704
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
037268
053264
198260
2149260
3289260
4616255
51082255
62175246
74444246
08440246
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
#s(literal 1 binary64)
(/.f64 (+.f64 y x) y)
(+.f64 y x)
y
x
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 y x)
y
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
(*.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(fma.f64 y x y)
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
(/.f64 (+.f64 y x) y)
#s(literal 1 binary64)
(/.f64 (+.f64 y x) y)
(+.f64 y x)
y
x
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)
(fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 y x)
y
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)))
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))
(*.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
(fma.f64 y x y)

localize109.0ms (1.5%)

Memory
7.0MiB live, 179.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
accuracy0.00390625
(*.f64 (+.f64 y x) x)
accuracy19.33754925467247
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
accuracy0.01171875
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
accuracy6.822675505600404
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)
accuracy30.350991465538517
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
accuracy0
(/.f64 x y)
accuracy0.19140625
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
accuracy31.61003143630698
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
accuracy32.4051211715636
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy0
(neg.f64 x)
accuracy0.04296875
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
accuracy29.392895408800904
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
accuracy31.47338062052145
#s(approx (- (/ x y) x) (neg.f64 x))
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
accuracy0.00390625
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy0.01171875
(/.f64 (+.f64 y x) y)
accuracy0.08984375
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
Samples
90.0ms256×0valid
Compiler

Compiled 191 to 29 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 18.0ms (46.3% of total)
ival-mult: 11.0ms (28.3% of total)
ival-add: 7.0ms (18% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-19.1MiB live, 62.2MiB allocated
Counts
22 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
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Outputs
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#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y)))
5.0ms
y
@-inf
((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y)))
2.0ms
x
@-inf
((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y)))
2.0ms
y
@0
((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y)))
2.0ms
x
@inf
((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y)))

simplify166.0ms (2.3%)

Memory
23.8MiB live, 254.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02635138
18204893
222594219
081424056
Stop Event
iter limit
node limit
Counts
492 → 473
Calls
Call 1
Inputs
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (+ x y) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/ x y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (+ x (* -1 (* x y))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (pow x 2) (+ 1 x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
(+ (* x y) (pow x 2))
x
(+ x y)
(+ x y)
(+ x y)
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (pow x 2) (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x (* y (+ 1 x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (* x y) (+ 1 x))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* x y)
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
(* y (+ x (/ (pow x 2) y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(* y (+ 1 x))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ x (* -1 (pow x 2)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(* -1 x)
(- (/ x y) x)
(- (/ x y) x)
(- (/ x y) x)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/ (* x y) (+ 1 x))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x)))))))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (/ x y))
(+ 1 (/ x y))
(+ 1 (/ x y))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x y)
(* x (+ y (* x (- 1 y))))
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y))))
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x y)
(* x (+ x y))
(* x (+ x y))
(* x (+ x y))
y
(+ x y)
(+ x y)
(+ x y)
y
(+ y (* x y))
(+ y (* x y))
(+ y (* x y))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* x (- (/ 1 y) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
x
(* x (- (+ 1 (/ y x)) (/ 1 x)))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2))))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x y)
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
(* x (+ y (/ y x)))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(/ x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ (/ 1 x) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
Outputs
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/ (+ x (* -1 (* x y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/ (+ x (* -1 (* x y))) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (pow x 2) (+ 1 x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x)
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(pow x 2)
(*.f64 x x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 x))
(fma.f64 y x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+ 1 (/ x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ x (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
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rewrite179.0ms (2.5%)

Memory
-27.1MiB live, 292.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037248
053244
1215240
21584240
08601235
Stop Event
iter limit
node limit
iter limit
Counts
22 → 891
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y))
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(/.f64 (+.f64 y x) y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
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(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
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(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
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#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
(*.f64 (+.f64 y x) x)
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Outputs
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eval175.0ms (2.4%)

Memory
14.4MiB live, 362.4MiB allocated
Compiler

Compiled 25 783 to 3 267 computations (87.3% saved)

prune38.0ms (0.5%)

Memory
7.7MiB live, 125.6MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 49151 496
Fresh358
Picked325
Done022
Total1 497141 511
Accuracy
100.0%
Counts
1 511 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
53.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
54.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
43.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
75.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
36.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
52.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
50.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
39.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
43.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
18.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
39.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
Compiler

Compiled 209 to 168 computations (19.6% saved)

simplify113.0ms (1.6%)

Memory
14.9MiB live, 143.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 x (+.f64 (*.f64 y x) y))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
cost-diff128
(+.f64 (*.f64 y x) y)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (- (/ x y) x) (/.f64 x y))
cost-diff0
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff0
#s(approx (- (/ x y) x) (neg.f64 x))
cost-diff0
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
cost-diff128
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
cost-diff192
(/.f64 (fma.f64 x y y) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035257
052250
188250
2121250
3261250
4496250
5875250
61344235
72144235
84246235
08192233
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))
(+.f64 x y)
x
y
(/.f64 (fma.f64 x y y) x)
(fma.f64 x y y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64))
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
#s(approx (- (/ x y) x) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)
(/.f64 x (+.f64 (*.f64 y x) y))
x
(+.f64 (*.f64 y x) y)
(*.f64 y x)
y
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))
(+.f64 x y)
(+.f64 y x)
x
y
(/.f64 (fma.f64 x y y) x)
(+.f64 (/.f64 y x) y)
(fma.f64 x y y)
(fma.f64 y x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64))
#s(approx (- (/ x y) x) (neg.f64 x))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
#s(approx (- (/ x y) x) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 (/.f64 y x) y)))
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)
(/.f64 x (+.f64 (/.f64 y x) y))
(/.f64 x (+.f64 (*.f64 y x) y))
(/.f64 x (fma.f64 y x y))
x
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(*.f64 y x)
y

localize76.0ms (1.1%)

Memory
-13.0MiB live, 145.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (*.f64 y x) y)
accuracy0.19140625
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)
accuracy8.576438122583264
(/.f64 x (+.f64 (*.f64 y x) y))
accuracy31.61003143630698
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
accuracy0
(/.f64 x y)
accuracy0.04296875
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
accuracy29.392895408800904
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
accuracy31.202694804323666
#s(approx (- (/ x y) x) (/.f64 x y))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.19140625
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy30.146421274900096
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
accuracy31.61003143630698
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
accuracy0
(neg.f64 x)
accuracy0.06640625
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
accuracy29.392895408800904
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
accuracy31.47338062052145
#s(approx (- (/ x y) x) (neg.f64 x))
accuracy0
(+.f64 x y)
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
accuracy7.072204252824971
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))
accuracy8.503265020339912
(/.f64 (fma.f64 x y y) x)
Samples
57.0ms256×0valid
Compiler

Compiled 177 to 26 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 19.0ms (44.4% of total)
ival-mult: 11.0ms (25.7% of total)
ival-div: 10.0ms (23.4% of total)
ival-sub: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
19.7MiB live, 58.4MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y y) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 y x) y) (patch (+.f64 (*.f64 y x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 (*.f64 y x) y)) (patch (/.f64 x (+.f64 (*.f64 y x) y)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
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Outputs
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x))
3.0ms
y
@-inf
((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x))
2.0ms
x
@-inf
((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x))
2.0ms
y
@0
((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x))
2.0ms
y
@inf
((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x))

simplify142.0ms (2%)

Memory
-6.0MiB live, 228.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894896
15504666
215094158
352213954
081843784
Stop Event
iter limit
node limit
Counts
504 → 487
Calls
Call 1
Inputs
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(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (* y (+ 1 x)) x)
(/ (pow x 2) (* y (+ 1 x)))
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
x
(+ x y)
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(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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y
(* y (+ 1 (/ x y)))
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(/ x (+ 1 x))
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(/ (pow x 2) (* y (+ 1 x)))
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(/ 1 y)
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(+ x (* -1 (pow x 2)))
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(* -1 x)
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1
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(+ y (/ y x))
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(* x (+ 1 (/ y x)))
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(* x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
y
(+ y (/ y x))
(+ y (/ y x))
(+ y (/ y x))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (/ 1 y))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
Outputs
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* y (- 1 x))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y)
(/ (+ x (* y (- 1 x))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y)
(/ (+ x (* y (- 1 x))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y)
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y)
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ (* y (+ 1 x)) x)
(+.f64 (/.f64 y x) y)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* x (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ (* x (- 1 x)) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ (* x (- 1 x)) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ (* x (- 1 x)) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) x)
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x)
(- (+ 1 (/ x y)) x)
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x)
(- (+ 1 (/ x y)) x)
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ x (* -1 (pow x 2)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 x)
(neg.f64 x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(* y (+ 1 x))
(fma.f64 x y y)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 x y y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 x y y)) x)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 (/.f64 y x) y)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 (/.f64 y x) y)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 (/.f64 y x) y)
(* -1 (/ (* y (- (* -1 x) 1)) x))
(+.f64 (/.f64 y x) y)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
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rewrite160.0ms (2.2%)

Memory
-1.6MiB live, 230.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035242
052235
1209235
21321235
08800228
Stop Event
iter limit
node limit
iter limit
Counts
22 → 552
Calls
Call 1
Inputs
(/.f64 (fma.f64 x y y) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))
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#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64))
#s(approx (- (/ x y) x) (neg.f64 x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
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#s(approx (- (/ x y) x) (/.f64 x y))
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(+.f64 (*.f64 y x) y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
(/.f64 x (+.f64 (*.f64 y x) y))
(*.f64 y x)
(neg.f64 x)
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)
Outputs
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eval121.0ms (1.7%)

Memory
18.7MiB live, 214.3MiB allocated
Compiler

Compiled 15 739 to 2 295 computations (85.4% saved)

prune35.0ms (0.5%)

Memory
2.9MiB live, 76.7MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New1 03451 039
Fresh145
Picked235
Done044
Total1 037161 053
Accuracy
100.0%
Counts
1 053 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
53.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
53.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x))
43.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
42.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x))))
36.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
52.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
50.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
39.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
45.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
18.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
39.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
43.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
38.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
15.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
Compiler

Compiled 457 to 235 computations (48.6% saved)

regimes34.0ms (0.5%)

Memory
11.6MiB live, 49.3MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
Calls

3 calls:

13.0ms
y
10.0ms
x
9.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes182.0ms (2.5%)

Memory
-170.3MiB live, 94.4MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
Calls

3 calls:

159.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
11.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
99.8%3y
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes17.0ms (0.2%)

Memory
28.5MiB live, 28.5MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
Calls

2 calls:

8.0ms
x
7.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%3x
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes25.0ms (0.4%)

Memory
-2.5MiB live, 36.1MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
Calls

3 calls:

9.0ms
x
8.0ms
y
7.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
93.8%3y
98.1%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.0%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes10.0ms (0.1%)

Memory
-34.0MiB live, 8.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))
Calls

3 calls:

4.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
68.1%3y
88.1%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
88.1%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
87.2%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
75.8%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
-29.8MiB live, 8.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
74.1%3x
74.2%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
43.9%1y
43.9%1x
43.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
43.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
43.9%1x
43.9%1y
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
38.5%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
38.5%1x
38.5%1y
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.248277182935987e-96
1.837141700071415e-95
0.0ms
-3.9919382796017983e-48
-2.020276974967608e-59
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.1%)

Memory
-27.1MiB live, 11.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
3.0ms
18169363135751.227
5032144243227254000.0
5.0ms
-4.8472549700642514e+73
-3.0521672126999643e+64
Samples
5.0ms80×0valid
Compiler

Compiled 109 to 98 computations (10.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (56.7% of total)
ival-div: 1.0ms (28.3% of total)
ival-mult: 1.0ms (28.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
7.0MiB live, 44.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.234076299599394e-10
44295.55786201191
12.0ms
-30.066651256028695
-0.0016080920242548002
Samples
18.0ms288×0valid
Compiler

Compiled 338 to 301 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (53.3% of total)
ival-add: 3.0ms (26.6% of total)
ival-mult: 2.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
5.234076299599394e-10
44295.55786201191
1.0ms
-30.066651256028695
-0.0016080920242548002
Samples
3.0ms64×0valid
Compiler

Compiled 320 to 301 computations (5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (50.8% of total)
ival-add: 1.0ms (50.8% of total)
ival-true: 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)

bsearch30.0ms (0.4%)

Memory
-3.7MiB live, 35.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.234076299599394e-10
44295.55786201191
9.0ms
-30.066651256028695
-0.0016080920242548002
Samples
19.0ms224×0valid
Compiler

Compiled 284 to 301 computations (-6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 10.0ms (71.3% of total)
ival-add: 2.0ms (14.3% of total)
ival-mult: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0168379642837644
25278.96061061032
0.0ms
-0.03509837741489007
-6.891486518204265e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.2415235352465664e-8
0.9999999999999449
0.0ms
-0.03509837741489007
-6.891486518204265e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify59.0ms (0.8%)

Memory
-10.5MiB live, 65.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092683
1111683
2121683
3137683
4188683
5253683
6357683
7489683
8619683
9697683
10740683
11770683
12797683
13808683
14810683
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (/.f64 (+.f64 y x) y) (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))

soundness1.4s (20.1%)

Memory
30.3MiB live, 1 017.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
16229
245429
3706829
0804427
01894896
15504666
215094158
352213954
081843784
026156
043152
1195150
21470150
08215150
090745
1250724
2660648
33420635
09161612
037248
053244
1215240
21584240
08601235
02635138
18204893
222594219
081424056
02674058
18293847
223433342
084443182
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 534 to 264 computations (50.6% saved)

preprocess149.0ms (2.1%)

Memory
-14.5MiB live, 232.7MiB allocated
Compiler

Compiled 674 to 192 computations (71.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...