Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.3%)

Memory
5.4MiB live, 43.3MiB 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)

sample719.0ms (10%)

Memory
46.3MiB live, 1 071.5MiB allocated
Samples
465.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-div: 155.0ms (51.2% of total)
ival-add: 77.0ms (25.4% of total)
ival-mult: 57.0ms (18.8% of total)
ival-true: 5.0ms (1.7% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain123.0ms (1.7%)

Memory
-28.2MiB live, 101.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-0-(/.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/n290
(/.f64 x y)overflow30
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow59
(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow30
Confusion
Predicted +Predicted -
+290
-0227
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-00227
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 28.0ms (68.9% of total)
ival-div: 7.0ms (17.2% of total)
ival-add: 5.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess173.0ms (2.4%)

Memory
-1.9MiB live, 36.2MiB allocated
Algorithm
egg-herbie
Rules
2 086×div-sub
1 020×unsub-neg
896×sub-neg
818×distribute-lft-in
792×distribute-rgt-in
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(/.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)

simplify13.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB 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)))
Rules
166×lower-*.f32
164×lower-*.f64
98×associate-*r*
92×lower-fma.f64
92×lower-fma.f32
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)

localize24.0ms (0.3%)

Memory
-14.9MiB live, 23.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.08203125
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy6.820832935997125
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.6% of total)
ival-div: 3.0ms (24.8% of total)
ival-add: 2.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB 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
2.0ms
x
@inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
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
x
@0
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))

simplify303.0ms (4.2%)

Memory
28.8MiB live, 179.2MiB allocated
Algorithm
egg-herbie
Rules
21 530×lower-fma.f64
21 530×lower-fma.f32
4 414×lower-*.f64
4 414×lower-*.f32
3 134×lower-+.f64
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)

rewrite277.0ms (3.9%)

Memory
-21.6MiB live, 133.3MiB allocated
Rules
3 588×lower-*.f32
3 586×lower-*.f64
3 312×lower-/.f32
3 308×lower-/.f64
3 296×lower-fma.f64
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
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x)))
(*.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 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(pow.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) x))
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 x y) x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x))
(fma.f64 x (/.f64 x y) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x)))
(+.f64 (*.f64 (/.f64 x y) x) x)
(+.f64 x (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 x y) x x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x y) x x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
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(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval139.0ms (1.9%)

Memory
8.4MiB live, 87.7MiB allocated
Compiler

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

prune87.0ms (1.2%)

Memory
20.1MiB live, 96.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New48712499
Fresh000
Picked101
Done000
Total48812500
Accuracy
100.0%
Counts
500 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
80.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64)))
71.2%
(/.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)))
77.5%
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 x #s(literal 1 binary64)))
99.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
89.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
50.3%
#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)))
55.5%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
91.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
53.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
36.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
44.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
Compiler

Compiled 278 to 194 computations (30.2% saved)

simplify142.0ms (2%)

Memory
-14.1MiB live, 66.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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)
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 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff512
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Rules
4 848×lower-fma.f32
4 844×lower-fma.f64
2 854×lower-*.f32
2 850×lower-*.f64
2 484×lower-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
026189
042189
180189
2128188
3261188
4518188
5971182
61458182
72352181
85019181
08134181
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
x
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
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
#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
Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
x
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (fma.f64 y x y) (+.f64 y x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
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
#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 y x) (/.f64 x (fma.f64 y x y))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(*.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

localize90.0ms (1.3%)

Memory
-7.9MiB live, 67.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
accuracy0.0078125
(/.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy0.015625
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x))
accuracy5.167634791532437
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)
accuracy0
(fma.f64 y x y)
accuracy0.1796875
(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy6.866334087608524
(/.f64 x (fma.f64 y x y))
accuracy32.347389249647826
#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)
accuracy0.0625
(fma.f64 (-.f64 (/.f64 x y) x) x x)
accuracy28.40700387174721
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x))
accuracy0
(/.f64 x y)
accuracy40.54082526348126
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.05859375
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
accuracy7.048217542705672
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Samples
46.0ms255×0valid
0.0ms1valid
Compiler

Compiled 161 to 25 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 13.0ms (39.5% of total)
ival-div: 11.0ms (33.4% of total)
ival-add: 8.0ms (24.3% of total)
ival-sub: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory
2.0MiB live, 38.4MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<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 (*.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>) () ())
Outputs
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.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)) (/.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>) () ())) ())
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#s(alt (/ x 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 (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 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>) () ())) ())
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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>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 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 (* 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>) () ())) ())
#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 (/ x y) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#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 (* -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 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) (taylor -inf x) (#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 (* -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 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 (* -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 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 (* -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 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 (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) (taylor -inf x) (#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 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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 (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)))
4.0ms
y
@0
((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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 (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)))
3.0ms
y
@-inf
((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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 (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)))
2.0ms
x
@inf
((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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 (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)))
2.0ms
y
@inf
((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* 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 (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)))

simplify208.0ms (2.9%)

Memory
13.1MiB live, 288.0MiB allocated
Algorithm
egg-herbie
Rules
13 910×lower-fma.f64
13 910×lower-fma.f32
6 354×lower-+.f64
6 354×lower-+.f32
4 106×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03684493
111804267
234853829
084313669
Stop Event
iter limit
node limit
Counts
384 → 369
Calls
Call 1
Inputs
(/ (* y (+ 1 x)) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (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) 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)
(/ 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 (+ 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)))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 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 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 (+ 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)))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y))))
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 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 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 (+ 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)))))))
1
(+ 1 (* x (- 1 (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y))))
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 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)
(+ 1 x)
(+ 1 x)
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 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 (- (/ 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))))
y
(- (+ y (/ y x)) (/ (pow y 2) x))
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x))
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) 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
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 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 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))))))
(/ 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))))
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) 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
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 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 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 (* 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)))
Outputs
(/ (* y (+ 1 x)) x)
(/.f64 (fma.f64 x y y) x)
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 y x))) y y)
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 y x))) y (/.f64 #s(literal 1 binary64) x)) y y)
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x)) y y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.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)) (/ (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) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (+ x y) y)
(/.f64 (+.f64 x y) y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.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)) (/ (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)
(/.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 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)) (/ (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 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 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)) (/ (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 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 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 (+ 1 x)))
(/.f64 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)
(* y (+ 1 x))
(fma.f64 x y y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.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)) (/ (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 x (/.f64 x (fma.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)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y)
(/ (pow x 2) (+ 1 x))
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y))))
(+.f64 (-.f64 x (/.f64 (fma.f64 x x x) y)) #s(literal 1 binary64))
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64)))
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 x 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 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
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 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #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 (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ 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 x #s(literal 1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 x y y)))
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(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x)) x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))

rewrite270.0ms (3.7%)

Memory
0.8MiB live, 283.6MiB allocated
Rules
5 126×lower-/.f32
5 114×lower-/.f64
4 846×lower-*.f32
4 842×lower-*.f64
4 384×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026165
042165
1197163
21625163
08350158
Stop Event
iter limit
node limit
iter limit
Counts
17 → 784
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 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)
#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))
(fma.f64 y x y)
(/.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))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
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eval218.0ms (3%)

Memory
7.7MiB live, 350.3MiB allocated
Compiler

Compiled 24 033 to 3 489 computations (85.5% saved)

prune219.0ms (3%)

Memory
-14.6MiB live, 332.4MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 294111 305
Fresh527
Picked415
Done000
Total1 303141 317
Accuracy
100.0%
Counts
1 317 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64)))
99.8%
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
44.6%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
53.1%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
39.1%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
50.3%
#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)))
55.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
74.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
50.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y))
35.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
36.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
20.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
36.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
Compiler

Compiled 228 to 184 computations (19.3% saved)

simplify108.0ms (1.5%)

Memory
3.2MiB live, 157.5MiB 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 #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
(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 x y)
cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff704
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
Rules
5 488×lower-fma.f32
5 484×lower-fma.f64
3 576×lower-*.f32
3 568×lower-*.f64
2 098×lower-/.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
037244
055241
1101241
2136241
3246241
4483235
5948235
61857228
74209228
08224228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
x
y
(/.f64 (+.f64 x #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 #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)) (/.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
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
x
y
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
(-.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 #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)) (/.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))
(*.f64 (+.f64 y x) #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)))
#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)

localize105.0ms (1.5%)

Memory
12.9MiB live, 164.7MiB 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)))
accuracy0.01171875
(*.f64 (+.f64 y x) x)
accuracy16.46966847190216
(/.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))
accuracy0.015625
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
accuracy5.167634791532437
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)
accuracy31.679723046004366
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.1796875
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy31.461937194013505
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))
accuracy32.347389249647826
#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)
accuracy0.0625
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)
accuracy28.40700387174721
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
accuracy30.306779591833557
#s(approx (- (/ x y) x) (neg.f64 x))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.14453125
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
Samples
79.0ms255×0valid
0.0ms1valid
Compiler

Compiled 181 to 29 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 32.0ms (49.5% of total)
ival-div: 23.0ms (35.6% of total)
ival-add: 6.0ms (9.3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-23.1MiB live, 65.3MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #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 #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 #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 (/.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 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#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>) () ())
Outputs
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #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 (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ 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)) (/ 1 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) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y)))
3.0ms
y
@-inf
((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ 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)) (/ 1 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) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y)))
2.0ms
x
@-inf
((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ 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)) (/ 1 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) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y)))
2.0ms
y
@0
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2.0ms
y
@inf
((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ 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)) (/ 1 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) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y)))

simplify187.0ms (2.6%)

Memory
42.0MiB live, 311.9MiB allocated
Algorithm
egg-herbie
Rules
16 568×lower-fma.f64
16 568×lower-fma.f32
3 896×lower-+.f64
3 896×lower-+.f32
3 786×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02644815
18244590
222653985
083323831
Stop Event
iter limit
node limit
Counts
492 → 472
Calls
Call 1
Inputs
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(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
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(/ 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)
(/ 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)
(/ (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))
(/ 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 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))
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 (+ 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))))
(*.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)))
(/ (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))
(/ 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 #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 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 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 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))))
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) 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)))
(* x y)
(*.f64 y x)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) y)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) y)
(* y (+ x (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) y)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y 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 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 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))
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 (+ 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))))
(*.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 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 x (fma.f64 y x 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 #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 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))))
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(+.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x #s(literal -1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 y x)) (/.f64 (/.f64 y x) x)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(* 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 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* x (+ y (/ y x)))
(fma.f64 y x y)
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #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)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(* 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 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 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 (+ (/ 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 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))) x) (/.f64 x y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) x)
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) x) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) x)) x) (/.f64 #s(literal 1 binary64) y))
(/ 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
x
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1)))
(-.f64 y (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) x)) x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #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)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) 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 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)

rewrite212.0ms (3%)

Memory
-16.9MiB live, 346.9MiB allocated
Rules
5 422×lower-/.f32
5 410×lower-/.f64
4 306×lower-*.f32
4 298×lower-*.f64
4 016×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037229
055225
1222225
21516225
08233220
Stop Event
iter limit
node limit
iter limit
Counts
23 → 657
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 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)
#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)
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 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 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x))
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
(*.f64 (+.f64 y x) x)
(+.f64 y x)
(fma.f64 y x y)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64))))
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(*.f64 (/.f64 (+.f64 y x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 x #s(literal 1 binary64))) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x y)))
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y x y)))
(*.f64 (/.f64 (+.f64 y x) (fma.f64 y x y)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 y x (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y x y)))
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y))
(*.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y)))
(*.f64 x (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 y x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 y x y) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 y x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y x y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)) (fma.f64 y x y))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 y x y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x) (*.f64 (-.f64 y x) (fma.f64 y x y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x)))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (fma.f64 y x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))
(/.f64 (+.f64 y x) (/.f64 (fma.f64 y x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (fma.f64 y x y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y x y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (fma.f64 y x y)))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (fma.f64 y x y) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (fma.f64 y x y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64)))

eval196.0ms (2.7%)

Memory
-0.3MiB live, 395.6MiB allocated
Compiler

Compiled 19 938 to 2 655 computations (86.7% saved)

prune118.0ms (1.6%)

Memory
18.0MiB live, 258.7MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 16771 174
Fresh268
Picked235
Done011
Total1 171171 188
Accuracy
100.0%
Counts
1 188 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
44.6%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
53.1%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
39.1%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
50.3%
#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)))
55.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
55.5%
#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))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
74.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
35.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
50.4%
#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))
36.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
50.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
20.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
36.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
Compiler

Compiled 245 to 204 computations (16.7% saved)

simplify137.0ms (1.9%)

Memory
6.7MiB live, 120.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x))
cost-diff0
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)
cost-diff0
#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))
cost-diff320
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
cost-diff0
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
cost-diff128
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
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
#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))
Rules
5 222×lower-fma.f32
5 218×lower-fma.f64
2 904×lower-*.f32
2 898×lower-*.f64
1 992×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036276
052276
191276
2135268
3267268
4424268
5749268
61413268
72747268
84647268
97626268
08070260
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 #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)
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
x
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))
(+.f64 y x)
y
x
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#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))
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
#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 #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))
(-.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)
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (-.f64 x #s(literal -1 binary64))))
x
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 y x)
y
x
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#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)) (fma.f64 #s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x)) x x))
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)
(fma.f64 #s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x)) x x)
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x))
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(-.f64 (/.f64 x y) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize124.0ms (1.7%)

Memory
-35.0MiB live, 131.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy0.0625
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)
accuracy0.125
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)
accuracy28.40700387174721
#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))
accuracy0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
accuracy0.01171875
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)
accuracy6.470427788081115
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))
accuracy31.679723046004366
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.05859375
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
accuracy29.963790740004427
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))
accuracy0
(neg.f64 x)
accuracy0.06640625
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
accuracy28.40700387174721
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x))
accuracy30.306779591833557
#s(approx (- (/ x y) x) (neg.f64 x))
accuracy0
(/.f64 x y)
accuracy0.0625
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)
accuracy28.40700387174721
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
accuracy32.573654906476435
#s(approx (- (/ x y) x) (/.f64 x y))
Samples
72.0ms256×0valid
Compiler

Compiled 176 to 27 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 28.0ms (60.1% of total)
ival-add: 7.0ms (15% of total)
ival-mult: 7.0ms (15% of total)
ival-sub: 2.0ms (4.3% of total)
ival-neg: 1.0ms (2.1% 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
22.6MiB live, 65.7MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#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 #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 (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 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 (/.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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 (/ (+ (/ (* 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 #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 (/ (+ (/ (* 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 #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 (/ (+ (/ (* 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 #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 (/ (pow x 2) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.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) (taylor 0 y) (#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 (/ (+ (* x (* y (- 1 x))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* x (* y (- 1 x))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* x (* y (- 1 x))) (pow x 2)) y) (taylor 0 y) (#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 (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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 (/ (+ (/ (* 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 #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 (/ (+ (/ (* 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 #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 (/ (+ (/ (* 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 #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 (/ x y) (taylor 0 y) (#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 (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#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 (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#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 (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#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 (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.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 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.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 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.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 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
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#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 y) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
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#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 y) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt #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)) (patch #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)) #<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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) (patch #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)) #<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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) (patch #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)) #<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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) (patch #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)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) 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 1 (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 (- 1 (/ 1 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 (+ 1 (* -1 (/ (- 1 (/ 1 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 (+ 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>) () ())) ())
Calls

6 calls:

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

simplify215.0ms (3%)

Memory
10.6MiB live, 233.5MiB allocated
Algorithm
egg-herbie
Rules
12 754×lower-fma.f64
12 754×lower-fma.f32
4 962×lower-+.f64
4 962×lower-+.f32
3 326×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03055066
19404764
226384025
086263862
Stop Event
iter limit
node limit
Counts
480 → 460
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)
(/ (+ (* 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)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) y)
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y)
(/ (+ (* x (* y (- 1 x))) (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 (- 1 x))) y)
(/ (+ x (* y (- 1 x))) y)
(/ (+ x (* y (- 1 x))) 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)
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(/ (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)
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(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 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)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y)))))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
y
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x)))
(-.f64 y (/.f64 (fma.f64 y y (neg.f64 y)) x))
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x)))
(+.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (fma.f64 y y (neg.f64 y)) x) y) y) x) y)
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x)))
(-.f64 y (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 y y (neg.f64 y)) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x))
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)
(/ 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) x))
(/ (* x (- 1 y)) y)
(-.f64 (/.f64 x y) x)
(/ (* x (- 1 y)) y)
(-.f64 (/.f64 x y) x)
(/ (* x (- 1 y)) y)
(-.f64 (/.f64 x y) x)
(/ (* x (- 1 y)) y)
(-.f64 (/.f64 x y) 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 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (pow x 2) (- 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))

rewrite248.0ms (3.4%)

Memory
-38.1MiB live, 293.8MiB allocated
Rules
4 946×lower-/.f32
4 938×lower-/.f64
4 802×lower-fma.f32
4 798×lower-fma.f64
4 704×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036261
052261
1227261
21722261
08610255
Stop Event
iter limit
node limit
iter limit
Counts
22 → 442
Calls
Call 1
Inputs
#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)
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)
#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))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
(+.f64 y x)
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) 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))
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(neg.f64 x)
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) y)
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
(*.f64 (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 y)))
(-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))

eval120.0ms (1.7%)

Memory
47.7MiB live, 272.6MiB allocated
Compiler

Compiled 14 041 to 2 245 computations (84% saved)

prune98.0ms (1.4%)

Memory
-11.0MiB live, 222.8MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New8975902
Fresh358
Picked235
Done044
Total90217919
Accuracy
100.0%
Counts
919 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
44.6%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x)))
53.1%
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
50.3%
#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)))
55.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x))
55.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x))
74.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)))
35.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
50.4%
#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))
36.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
50.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
20.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
36.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
42.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
39.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x))
18.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y)))
Compiler

Compiled 479 to 240 computations (49.9% saved)

regimes88.0ms (1.2%)

Memory
-22.2MiB live, 73.6MiB allocated
Counts
36 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 (/.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)) (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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) 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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x 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)))
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) 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)))
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
Calls

3 calls:

41.0ms
x
36.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
10.0ms
y
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)

regimes31.0ms (0.4%)

Memory
21.7MiB live, 58.5MiB allocated
Counts
31 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 (/.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)) (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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) 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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x 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)))
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) 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 (*.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 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))
Calls

3 calls:

11.0ms
y
9.0ms
x
8.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%3x
96.9%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)

regimes62.0ms (0.9%)

Memory
-11.1MiB live, 56.7MiB allocated
Counts
28 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 (/.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)) (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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) 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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x 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))
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

2 calls:

38.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
22.0ms
x
Results
AccuracySegmentsBranch
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.9%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes39.0ms (0.5%)

Memory
-6.2MiB live, 38.4MiB 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 (/.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)) (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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) 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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x 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:

30.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
99.9%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes16.0ms (0.2%)

Memory
32.4MiB live, 32.4MiB 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) 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 (/.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)) (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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) 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)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x 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

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
94.3%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
98.3%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes23.0ms (0.3%)

Memory
-27.9MiB live, 10.2MiB allocated
Counts
16 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)))
#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:

22.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
-3.0MiB live, 33.8MiB allocated
Counts
13 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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:

5.0ms
y
5.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.8%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
65.4%3y
86.7%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes9.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
12 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))))
#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
4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
73.6%3x
85.9%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)

regimes6.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
7 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64)))
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
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
72.0%3x
72.1%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)

regimes10.0ms (0.1%)

Memory
-20.5MiB live, 17.4MiB allocated
Counts
5 → 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 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) 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:

4.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
42.4%1y
42.4%1x
42.4%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
11.9MiB live, 11.9MiB 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
x
2.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
42.4%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
42.4%1x
42.4%1y
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB 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
39.1%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
39.1%1x
39.1%1y
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch16.0ms (0.2%)

Memory
-23.6MiB live, 23.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
3.70017659940805e-49
4.998775442003441e-40
13.0ms
-1321975618.3517623
-8162514.046897029
Samples
7.0ms128×0valid
Compiler

Compiled 177 to 158 computations (10.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.7% of total)
ival-add: 1.0ms (25.8% of total)
ival-mult: 1.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory
-14.3MiB live, 22.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
0.0ms
3.70017659940805e-49
4.998775442003441e-40
11.0ms
-2.7929523729690757e-15
-8.542586760829803e-27
Samples
5.0ms96×0valid
Compiler

Compiled 154 to 132 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (34.9% of total)
ival-add: 1.0ms (34.9% of total)
ival-mult: 1.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
35.6MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
863265.0220410639
3922739380985682.5
1.0ms
-1321975618.3517623
-8162514.046897029
Samples
8.0ms160×0valid
Compiler

Compiled 337 to 302 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.3% of total)
ival-add: 1.0ms (21.6% of total)
ival-mult: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
-6.7MiB live, 69.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
3.1585302779247325e-11
25.078183136728484
15.0ms
-85.73429979206755
-1.5815268927924486e-9
Samples
19.0ms320×0valid
Compiler

Compiled 374 to 333 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (51.7% of total)
ival-add: 3.0ms (25.8% of total)
ival-mult: 2.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
-30.7MiB live, 13.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
3.1585302779247325e-11
25.078183136728484
1.0ms
-85.73429979206755
-1.5815268927924486e-9
Samples
2.0ms32×0valid
Compiler

Compiled 354 to 333 computations (5.9% saved)

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

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999988416085257
0.9999999389790901
0.0ms
-1003.4068501954125
-1.581526895293676e-9
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.000051947739786
19.741961480336375
0.0ms
-1003.4068501954125
-1.581526895293676e-9
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9605979482660034e-13
0.9999988416085257
0.0ms
-1003.4068501954125
-1.581526895293676e-9
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify50.0ms (0.7%)

Memory
3.0MiB live, 82.2MiB allocated
Algorithm
egg-herbie
Rules
214×distribute-lft-neg-in-binary64-*.f64-neg.f64
158×unsub-neg-binary64--.f64-neg.f64-+.f64
122×neg-mul-1-binary64-*.f64-neg.f64
114×neg-sub0-binary64--.f64-neg.f64
104×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090742
1107742
2117742
3133742
4184742
5248742
6352742
7474742
8596742
9668742
10709742
11738742
12765742
13776742
14778742
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1300000000 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 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.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 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 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 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 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 -1300000000 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 3700000000000 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 5494391545392005/4503599627370496 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 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 9007190247541737/9007199254740992 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 -1000 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 -1000 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 3961408125713217/19807040628566084398385987584 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
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(if (<=.f64 x #s(literal -1300000000 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 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.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 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y))))
(if (<=.f64 x #s(literal -1300000000 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 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y))))
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 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 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 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 -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 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 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y))))
(if (<=.f64 x #s(literal -1300000000 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 3700000000000 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 -1300000000 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 3700000000000 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 5494391545392005/4503599627370496 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 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 9007190247541737/9007199254740992 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 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -1000 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 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 9007190247541737/9007199254740992 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 -1000 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 -1000 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 -1000 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 3961408125713217/19807040628566084398385987584 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 -1000 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 3961408125713217/19807040628566084398385987584 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))

soundness1.5s (21.1%)

Memory
37.6MiB live, 1 107.1MiB allocated
Rules
21 530×lower-fma.f64
21 530×lower-fma.f32
16 568×lower-fma.f64
16 568×lower-fma.f32
13 910×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02644815
18244590
222653985
083323831
090745
1250724
2660648
33420635
09161612
03055066
19404764
226384025
086263862
037229
055225
1222225
21516225
08233220
03684493
111804267
234853829
084313669
0829
01329
16229
245429
3706829
0804427
Stop Event
fuel
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
node limit
Compiler

Compiled 624 to 288 computations (53.8% saved)

preprocess204.0ms (2.8%)

Memory
3.1MiB live, 195.0MiB allocated
Compiler

Compiled 752 to 192 computations (74.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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