Linear.Projection:perspective from linear-1.19.1.3, B

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (16.7%)

Memory
3.4MiB live, 826.8MiB allocated
Samples
932.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 429.0ms
ival-mult: 269.0ms (62.7% of total)
ival-sub: 90.0ms (21% of total)
ival-div: 55.0ms (12.8% of total)
ival-true: 7.0ms (1.6% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain95.0ms (1.3%)

Memory
8.6MiB live, 130.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-1(8.458114087449807e-269 -4.009713883583835e-43)(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))o/n360
(*.f64 x #s(literal 2 binary64))overflow1
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow36
/.f64(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))u/n350
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow35
Confusion
Predicted +Predicted -
+711
-0184
Precision
1.0
Recall
0.9861111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+7101
-00184
Precision?
1.0
Recall?
0.9861111111111112
Freqs
test
numberfreq
0185
171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 61 to 25 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (51.1% of total)
ival-sub: 3.0ms (21.9% of total)
ival-div: 3.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess161.0ms (2.1%)

Memory
13.8MiB live, 87.4MiB allocated
Algorithm
egg-herbie
Rules
481×times-frac
441×associate-*r*
420×times-frac
394×distribute-lft-in
365×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01953
16245
221245
377545
4269945
5337845
6356445
7357845
8359345
9359845
10359845
11380245
12389845
13389845
14400245
15462145
079
0119
1199
2409
3649
4849
51489
63109
76829
815329
923759
1023939
1124079
1224199
1324199
024199
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Outputs
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify61.0ms (0.8%)

Memory
-8.1MiB live, 37.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Rules
420×times-frac
336×lower-fma.f64
336×lower-fma.f32
320×lower-*.f32
318×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
11923
24023
36423
48423
514823
631023
768223
8153223
9237523
10239323
11240723
12241923
13241923
0241923
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
(-.f64 x y)
Outputs
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize45.0ms (0.6%)

Memory
-4.9MiB live, 34.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy16.683935197775288
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.5% of total)
ival-div: 2.0ms (30.3% of total)
ival-sub: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* -2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

21 calls:

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

simplify354.0ms (4.7%)

Memory
-2.7MiB live, 220.5MiB allocated
Algorithm
egg-herbie
Rules
7 199×lower-fma.f64
7 199×lower-fma.f32
2 526×lower-*.f64
2 526×lower-*.f32
989×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136557
1378543
21013523
33099517
46414517
08134486
Stop Event
iter limit
node limit
Counts
84 → 81
Calls
Call 1
Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (fma.f64 y (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x))) x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y))) #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y))
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 (* x y))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite249.0ms (3.3%)

Memory
-44.9MiB live, 348.3MiB allocated
Rules
2 816×lower-/.f32
2 815×lower-/.f64
1 915×lower-*.f32
1 913×lower-*.f64
1 028×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
14020
225020
3275420
0920820
Stop Event
iter limit
node limit
iter limit
Counts
4 → 405
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
(-.f64 x y)
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
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(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 y x)) #s(literal 2 binary64))
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(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x))))
(+.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (neg.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval91.0ms (1.2%)

Memory
23.1MiB live, 137.2MiB allocated
Compiler

Compiled 13 445 to 1 313 computations (90.2% saved)

prune197.0ms (2.6%)

Memory
16.6MiB live, 174.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4806486
Fresh000
Picked101
Done000
Total4816487
Accuracy
100.0%
Counts
487 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
87.6%
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
48.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
52.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
Compiler

Compiled 112 to 68 computations (39.3% saved)

simplify299.0ms (3.9%)

Memory
-22.4MiB live, 114.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x x)
cost-diff0
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 x (-.f64 x y))
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
Rules
1 128×lower-fma.f32
1 126×lower-fma.f64
824×lower-*.f32
818×lower-*.f64
395×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024135
038135
166135
2112135
3170135
4215135
5433135
6724135
71608135
82835135
93550135
103807135
113910135
123932135
133934135
144126135
154198135
164198135
174198135
184198135
194270135
204789135
04789135
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(/.f64 x (-.f64 x y))
x
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y)
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(/.f64 x (-.f64 x y))
x
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
#s(literal -2 binary64)

localize81.0ms (1.1%)

Memory
1.8MiB live, 158.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
accuracy0.0703125
(fma.f64 (/.f64 x y) x x)
accuracy33.45253910839069
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0.078125
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy0.11328125
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy30.775502488972002
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy0
(*.f64 x #s(literal -2 binary64))
accuracy33.11712710688254
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
accuracy0
(*.f64 #s(literal 2 binary64) y)
accuracy30.51077579783758
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
accuracy0
(-.f64 x y)
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.015625
(/.f64 x (-.f64 x y))
accuracy7.948221793713529
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
Samples
46.0ms256×0valid
Compiler

Compiled 115 to 23 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 22.0ms (67.3% of total)
ival-div: 7.0ms (21.4% of total)
ival-add: 2.0ms (6.1% of total)
ival-sub: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
4.2MiB live, 40.9MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

84 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (+ (* (/ 2 x) y) 2) y)
1.0ms
x
@0
(* (+ (* (/ 2 x) y) 2) y)
1.0ms
y
@-inf
(* (+ (* (/ 2 x) y) 2) y)
1.0ms
y
@0
(* (+ (* (/ 2 x) y) 2) y)
0.0ms
y
@0
(* (+ (* (/ x y) x) x) -2)

simplify339.0ms (4.5%)

Memory
-14.9MiB live, 254.7MiB allocated
Algorithm
egg-herbie
Rules
6 499×lower-fma.f64
6 499×lower-fma.f32
2 081×lower-*.f64
2 081×lower-*.f32
1 041×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02372970
17082868
219442738
357282722
086542498
Stop Event
iter limit
node limit
Counts
336 → 330
Calls
Call 1
Inputs
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
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(* 2 y)
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(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
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(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
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(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
1
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1
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(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
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(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
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(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
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(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
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(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 y)
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(* 2 y)
(* 2 y)
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(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
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(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
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(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
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(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* -2 x)
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(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
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(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
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(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
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(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
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(* x (- (* -2 (/ x y)) 2))
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(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
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(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (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)))
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
x
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(+ x (/ (pow x 2) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 x y) x x) (neg.f64 y))
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x)
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) x (/.f64 #s(literal -1 binary64) y)) x)
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
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(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(+ 2 (* 2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* 2 (/ y x))
(*.f64 (/.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -2 (/ (pow x 2) y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -2 (/ (pow x 2) y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -2 (/ (pow x 2) y))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
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)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (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)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (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)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.f64 x y) y))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.f64 x y) y))
(/ (+ (* x y) (pow x 2)) y)
(*.f64 x (/.f64 (+.f64 x y) 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
(+ 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 y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite317.0ms (4.2%)

Memory
6.7MiB live, 216.2MiB allocated
Rules
2 618×lower-*.f32
2 612×lower-*.f64
2 590×lower-fma.f32
2 588×lower-fma.f64
2 138×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024122
038122
1125122
2736122
08387122
Stop Event
iter limit
node limit
iter limit
Counts
16 → 625
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 y #s(literal 2 binary64))
(/.f64 x (-.f64 x y))
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (+.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x y)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x y)))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 x y))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y)) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 x y) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x (+.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (*.f64 x (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 y x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) x)
(*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
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(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x x)) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x x)) (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))))) (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x))) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x)))) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 (/.f64 x y) x) x)) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (-.f64 (*.f64 (/.f64 x y) x) x)))
(/.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x x)) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x)))) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x x))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x))) (-.f64 x (*.f64 (/.f64 x y) x)))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (fma.f64 x x (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 x y) x) x))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 x y) x) x))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x)))) (fma.f64 (/.f64 (neg.f64 x) y) x x))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 x y) x) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))))
(/.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x))) (-.f64 (*.f64 (/.f64 x y) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 x y) x) x))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 (/.f64 x y) x) (-.f64 (*.f64 (/.f64 x y) x) x))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x)))) (-.f64 (*.f64 (/.f64 x y) x) x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x))) (fma.f64 (/.f64 (neg.f64 x) y) x x)))
(neg.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (-.f64 x (*.f64 (/.f64 x y) x)))))))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 x x)) x (neg.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x) x (*.f64 x (fma.f64 (/.f64 x y) x x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x))))
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) x (neg.f64 x)))) (fma.f64 (/.f64 x y) x x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) 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 x) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x y) x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) x) 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 (*.f64 x x) (-.f64 x (*.f64 (/.f64 x y) x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 x (*.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (*.f64 y y))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (*.f64 y y))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 x y) x) x))))
(+.f64 (*.f64 (/.f64 x y) x) x)
(+.f64 x (*.f64 (/.f64 x y) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval136.0ms (1.8%)

Memory
10.6MiB live, 270.5MiB allocated
Compiler

Compiled 21 305 to 1 876 computations (91.2% saved)

prune182.0ms (2.4%)

Memory
-8.1MiB live, 283.7MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New9505955
Fresh101
Picked145
Done000
Total9529961
Accuracy
100.0%
Counts
961 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
87.6%
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
67.2%
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
48.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
52.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
Compiler

Compiled 154 to 95 computations (38.3% saved)

simplify370.0ms (4.9%)

Memory
26.3MiB live, 172.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff192
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
cost-diff320
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
cost-diff12160
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
cost-diff320
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) y)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff384
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
Rules
1 910×lower-fma.f32
1 907×lower-fma.f64
1 390×lower-*.f32
1 382×lower-*.f64
814×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032188
056184
1100181
2185179
3290179
4439179
5768179
61277179
72235179
83664179
94315179
104629179
114739179
124756179
134759179
145063179
155231179
165244179
175252179
185254179
195254179
205254179
215254179
225336179
235846179
246499179
256717179
267024179
277168179
287749179
08039179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 x y) y)
(-.f64 x y)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(log1p.f64 (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
#s(literal -1 binary64)
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 x y) y)
(-.f64 x y)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(log1p.f64 (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
#s(literal -1 binary64)

localize102.0ms (1.3%)

Memory
29.8MiB live, 213.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.8428810832848838
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
accuracy5.334727541282697
(log1p.f64 (/.f64 (neg.f64 y) x))
accuracy5.350071270695685
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
accuracy0
(*.f64 #s(literal 2 binary64) y)
accuracy0.00390625
(*.f64 (/.f64 y x) #s(literal 2 binary64))
accuracy0.2773409976055602
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))
accuracy16.20548191239245
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
accuracy0
(/.f64 y x)
accuracy0.00390625
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy0.03515625
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
accuracy16.20548191239245
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
accuracy0
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0
(/.f64 x y)
accuracy0.07421875
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
accuracy33.08167093062613
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
accuracy0
(-.f64 x y)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0.00390625
(/.f64 (-.f64 x y) y)
accuracy8.193175769929853
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
Samples
49.0ms197×0valid
15.0ms59×0invalid
Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 23.0ms (49.2% of total)
ival-div: 12.0ms (25.7% of total)
ival-add: 3.0ms (6.4% of total)
ival-exp: 2.0ms (4.3% of total)
ival-log1p: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory
-10.9MiB live, 96.9MiB allocated
Counts
22 → 480
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) (patch (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) #s(literal 2 binary64)) (patch (*.f64 (/.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (* -2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (/ x y)) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* 1/2 (/ x (pow y 2))) (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (* 1/2 (/ (pow y 2) x))) x) (taylor inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x)))) x) (taylor inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ y (+ (* 1/4 (/ (pow y 4) (pow x 3))) (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x))))) x) (taylor inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow y 3)) (* -1/4 (/ (pow y 4) x))) x)) (* 1/2 (pow y 2))) x))) x)) (taylor -inf x) (#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))) (taylor 0 y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) (taylor 0 y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y)))) (taylor inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y)))) (taylor inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2)))))) (taylor inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3))))))) (taylor inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 x)) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))) (taylor -inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))) (taylor -inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))) (taylor -inf y) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 y)) (* -1 (log x))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 y)) (+ (* -1 (log x)) (* -1 (/ x y)))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
Calls

120 calls:

TimeVariablePointExpression
10.0ms
y
@inf
(* (log (+ 1 (/ (neg y) x))) -1)
2.0ms
x
@0
(* (+ (* (/ x y) -2) -2) x)
1.0ms
x
@-inf
(* (log (+ 1 (/ (neg y) x))) -1)
1.0ms
y
@0
(* (log (+ 1 (/ (neg y) x))) -1)
0.0ms
x
@inf
(* (+ (* (/ x y) -2) -2) x)

simplify495.0ms (6.5%)

Memory
-1.9MiB live, 261.1MiB allocated
Algorithm
egg-herbie
Rules
6 071×lower-fma.f64
6 071×lower-fma.f32
2 136×lower-+.f64
2 136×lower-+.f32
1 929×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04624370
113964195
239374011
081603734
Stop Event
iter limit
node limit
Counts
480 → 477
Calls
Call 1
Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
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(* -2 x)
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(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
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2
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(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
2
(+ 2 (* 2 (/ y x)))
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2
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(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
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(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
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(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
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(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
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(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
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(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
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(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 (/ y x))
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(* 2 (/ y x))
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(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
(* 2 (/ y x))
1
(+ 1 (/ y x))
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (pow x 2) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(* -1 (/ x y))
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(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (/ y x))
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
1
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(- (+ (* -2 x) (* -2 (/ (pow x 3) (pow y 2)))) (* 2 (/ (pow x 2) y)))
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(+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 4) y)) (* 2 (pow x 3))) y)) (* -2 (pow x 2))) y)))
(* -2 x)
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(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
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(* 2 y)
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(/ y x)
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(* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* y (+ (* y (+ (* y (+ (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y)))))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (/ x y))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y))))
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(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(/ y x)
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(/ (+ y (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x)))) x)
(/ (+ y (+ (* 1/4 (/ (pow y 4) (pow x 3))) (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x))))) x)
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(* y (- (* y (- (* y (- (* -1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(+ (log (/ 1 x)) (* -1 (log (/ -1 y))))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ x y))))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y))))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y))))
(+ (log (* -1 y)) (* -1 (log x)))
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(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
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(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x)
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x)
(* -1 (/ y x))
(* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x))
(* -1 y)
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(* -1 y)
(* -1 y)
(* -1 y)
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(* -1 y)
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Outputs
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64))) (neg.f64 x)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64))
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(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64))) (neg.f64 x)))
(/ y x)
(/.f64 y x)
(* y (+ (* 1/2 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal 1 binary64) x)) y)
(* y (+ (* y (+ (* y (+ (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))) y (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 y y) (/.f64 y x))
(* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y)))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (/ x y))
(-.f64 (+.f64 (/.f64 x y) (log.f64 (neg.f64 x))) (log.f64 y))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 (neg.f64 x)) (log.f64 y)))
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y))) #s(literal 1/3 binary64) (-.f64 (log.f64 (neg.f64 x)) (log.f64 y))))
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y)))))
(-.f64 (log.f64 x) (log.f64 (neg.f64 y)))
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (/ x y))
(+.f64 (-.f64 (/.f64 x y) (log.f64 (neg.f64 y))) (log.f64 x))
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) y))) y)))
(-.f64 (-.f64 (log.f64 x) (log.f64 (neg.f64 y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y))
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/3 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y))) y)))
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) y) x) y) (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)))
(* -1 (+ (log (* -1 y)) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 (neg.f64 y)))
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (/ x y))
(+.f64 (-.f64 (/.f64 x y) (log.f64 (neg.f64 y))) (log.f64 x))
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* 1/2 (/ x (pow y 2))) (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 (neg.f64 y))))
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y)) x (-.f64 (log.f64 x) (log.f64 (neg.f64 y))))
(/ y x)
(/.f64 y x)
(/ (+ y (* 1/2 (/ (pow y 2) x))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y x)) y) x)
(/ (+ y (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x)))) x)
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y x)) y)) x)
(/ (+ y (+ (* 1/4 (/ (pow y 4) (pow x 3))) (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x))))) x)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y x)) y))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (/.f64 y x))) (*.f64 #s(literal 1/2 binary64) (*.f64 y y))) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow y 3)) (* -1/4 (/ (pow y 4) x))) x)) (* 1/2 (pow y 2))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 x))) x) y) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y)
(* y (- (* y (- (* y (- (* -1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) y (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y)
(+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))
(-.f64 (log.f64 y) (log.f64 (neg.f64 x)))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 y) (/.f64 x y)) (log.f64 (neg.f64 x)))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2))))))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y) (-.f64 (log.f64 (neg.f64 x)) (log.f64 y)))
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3)))))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y) (-.f64 (log.f64 (neg.f64 x)) (log.f64 y))))
(+ (log (/ 1 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 x y)) (log.f64 x))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) x) y))
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) y)) y))
(+ (log (* -1 y)) (* -1 (log x)))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x))
(+ (log (* -1 y)) (+ (* -1 (log x)) (* -1 (/ x y))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 x y)) (log.f64 x))
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y)))))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) x (log.f64 (neg.f64 y))) (log.f64 x))
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)))
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y)) x)
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y))) x)
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y)))) x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y x)) y) (neg.f64 x))
(* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x))
(/.f64 (neg.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (*.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y (/.f64 y x))))) x))) x)
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x))
(/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 x))) x)) (neg.f64 x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

rewrite278.0ms (3.7%)

Memory
0.6MiB live, 393.7MiB allocated
Rules
2 261×lower-/.f32
2 256×lower-/.f64
2 253×lower-fma.f32
2 250×lower-fma.f64
1 966×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032165
056161
1195158
21291156
08467156
Stop Event
iter limit
node limit
iter limit
Counts
22 → 722
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 y x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(log1p.f64 (/.f64 (neg.f64 y) x))
(neg.f64 y)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y)))
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))) (neg.f64 y))
(*.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (/.f64 y (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
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(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) x))
(*.f64 y (/.f64 #s(literal 2 binary64) x))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(pow.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 2 binary64)))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) y))
(/.f64 #s(literal 2 binary64) (/.f64 x y))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 (neg.f64 y) x)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 y x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (/.f64 (/.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (/.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (/.f64 (neg.f64 y) x))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) y) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))
(neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))
(-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (neg.f64 y) x)))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(log1p.f64 (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (log1p.f64 (/.f64 y x)) (log1p.f64 (/.f64 y x)))) (+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x)))) (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 (log1p.f64 (/.f64 y x)) (log1p.f64 (/.f64 y x)) (*.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))))))
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x))))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x)))
(-.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (log1p.f64 (/.f64 y x))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 y y) y) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y y) (neg.f64 y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval298.0ms (3.9%)

Memory
-14.4MiB live, 385.9MiB allocated
Compiler

Compiled 22 682 to 2 339 computations (89.7% saved)

prune172.0ms (2.3%)

Memory
13.7MiB live, 292.7MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 25421 256
Fresh000
Picked325
Done044
Total1 25781 265
Accuracy
100.0%
Counts
1 265 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
87.6%
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
48.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
52.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
Compiler

Compiled 78 to 47 computations (39.7% saved)

simplify156.0ms (2.1%)

Memory
4.6MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff0
(/.f64 y x)
cost-diff0
(fma.f64 y (/.f64 y x) y)
cost-diff0
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
Rules
852×lower-fma.f32
851×lower-fma.f64
676×lower-*.f32
674×lower-*.f64
259×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
02462
14462
27762
311762
416162
524062
650762
7121162
8219362
9266262
10298362
11308962
12310762
13311662
14329962
15336762
16336762
17336762
18340762
19369162
0369162
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(fma.f64 y (/.f64 y x) y)
y
(/.f64 y x)
x
#s(literal 2 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(fma.f64 y (/.f64 y x) y)
(fma.f64 (/.f64 y x) y y)
y
(/.f64 y x)
x
#s(literal 2 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)

localize161.0ms (2.1%)

Memory
-46.6MiB live, 50.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy8.193175769929853
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy0
(/.f64 y x)
accuracy0
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
accuracy0.07421875
(fma.f64 y (/.f64 y x) y)
accuracy30.775502488972002
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
Samples
37.0ms256×0valid
Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.3% of total)
ival-mult: 6.0ms (34.6% of total)
ival-sub: 2.0ms (11.5% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
8 → 180
Calls
Call 1
Inputs
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 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>) () ())
Outputs
#s(alt (* -2 x) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow y 2) x)) (taylor inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow y 2) x)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow y 2) x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ y x))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow y 2)) x) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow y 2)) x) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (pow y 2)) x) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (/ (pow y 2) x)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

45 calls:

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

simplify291.0ms (3.8%)

Memory
12.2MiB live, 324.0MiB allocated
Algorithm
egg-herbie
Rules
10 327×lower-fma.f64
10 327×lower-fma.f32
2 687×lower-*.f64
2 687×lower-*.f32
1 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611306
14581266
211721222
334831214
080381124
Stop Event
iter limit
node limit
Counts
180 → 177
Calls
Call 1
Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
y
(* y (+ 1 (/ y x)))
(* y (+ 1 (/ y x)))
(* y (+ 1 (/ y x)))
(/ (pow y 2) x)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow y 2) x)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(/ (pow y 2) x)
(/ (+ (* x y) (pow y 2)) x)
(/ (+ (* x y) (pow y 2)) x)
(/ (+ (* x y) (pow y 2)) x)
y
(+ y (/ (pow y 2) x))
(+ y (/ (pow y 2) x))
(+ y (/ (pow y 2) x))
y
(+ y (/ (pow y 2) x))
(+ y (/ (pow y 2) x))
(+ y (/ (pow y 2) x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x)))
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2)))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) x)) #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* 2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* 2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* 2 (/ (pow y 2) x))
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
y
(* y (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) y y)
(* y (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) y y)
(* y (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) y y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(* (pow y 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 y x) y y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (+ (* x y) (pow y 2)) x)
(*.f64 y (/.f64 (+.f64 y x) x))
(/ (+ (* x y) (pow y 2)) x)
(*.f64 y (/.f64 (+.f64 y x) x))
(/ (+ (* x y) (pow y 2)) x)
(*.f64 y (/.f64 (+.f64 y x) x))
y
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
y
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
(+ y (/ (pow y 2) x))
(fma.f64 (/.f64 y x) y y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) x)) #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite206.0ms (2.7%)

Memory
-3.9MiB live, 354.9MiB allocated
Rules
2 969×lower-fma.f32
2 968×lower-fma.f64
2 592×lower-*.f32
2 590×lower-*.f64
2 109×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
02455
110155
270855
0854955
Stop Event
iter limit
node limit
iter limit
Counts
8 → 404
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(fma.f64 y (/.f64 y x) y)
(/.f64 y x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 x #s(literal 2 binary64))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) y) (-.f64 y (*.f64 (/.f64 y x) y))) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (fma.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (fma.f64 (/.f64 y x) y y))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) y)
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)))
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 y x) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y)) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) y y))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (-.f64 y (*.f64 (/.f64 y x) y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y))) (fma.f64 (/.f64 (neg.f64 y) x) y y))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (/.f64 (neg.f64 y) x) y y))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) y (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 y x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (/.f64 y x) (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y (*.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) y) (*.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) y) (-.f64 y (*.f64 (/.f64 y x) y))) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (fma.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (fma.f64 (/.f64 y x) y y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y)
(*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 y x) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) y y)))
(*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))))
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)))
(*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (/.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) y y))
(*.f64 (fma.f64 (/.f64 y x) y y) (/.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (-.f64 (*.f64 (/.f64 y x) y) y)))
(*.f64 (fma.f64 (/.f64 y x) y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x)))
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(fma.f64 (/.f64 x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval72.0ms (0.9%)

Memory
22.6MiB live, 133.5MiB allocated
Compiler

Compiled 12 590 to 1 199 computations (90.5% saved)

prune89.0ms (1.2%)

Memory
25.7MiB live, 174.8MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5810581
Fresh000
Picked022
Done066
Total5818589
Accuracy
100.0%
Counts
589 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
87.6%
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
47.7%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
51.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
48.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
52.3%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
Compiler

Compiled 201 to 89 computations (55.7% saved)

regimes17.0ms (0.2%)

Memory
-8.0MiB live, 29.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
Calls

3 calls:

7.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
99.6%3y
99.5%5(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
99.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-21.4MiB live, 17.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
Calls

2 calls:

6.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
94.4%3x
96.8%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Results
AccuracySegmentsBranch
73.0%3x
54.3%2(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
81.5%3y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory
-38.2MiB live, 6.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
81.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
81.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Results
AccuracySegmentsBranch
52.3%1(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
52.3%1x
52.3%1y
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch19.0ms (0.2%)

Memory
-8.7MiB live, 29.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
8.0ms
1.486403679187314e-8
2.2270457296499196e-5
9.0ms
-1.7383655083401705e-93
-5.8805422756244795e-95
Samples
12.0ms160×0valid
Compiler

Compiled 254 to 182 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.9% of total)
ival-sub: 1.0ms (23.4% of total)
ival-div: 1.0ms (23.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
1.486403679187314e-8
2.2270457296499196e-5
1.0ms
-1.7383655083401705e-93
-5.8805422756244795e-95
Compiler

Compiled 254 to 172 computations (32.3% saved)

bsearch26.0ms (0.3%)

Memory
6.2MiB live, 43.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.1888021701996276e+134
3.584500898406324e+135
11.0ms
-1.072103188163733e+171
-8.347945033181807e+165
Samples
16.0ms240×0valid
Compiler

Compiled 329 to 219 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (49.7% of total)
ival-sub: 1.0ms (16.6% of total)
ival-div: 1.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
-1.3MiB live, 37.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
285.9963924791966
5625.936989088795
6.0ms
-1.6244175979103532e+150
-7.674837900532472e+149
Samples
9.0ms192×0valid
Compiler

Compiled 217 to 146 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (40.2% of total)
ival-sub: 1.0ms (20.1% of total)
ival-div: 1.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
285.9963924791966
5625.936989088795
0.0ms
-1.6244175979103532e+150
-7.674837900532472e+149
Compiler

Compiled 217 to 146 computations (32.7% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
285.9963924791966
5625.936989088795
0.0ms
-1.6244175979103532e+150
-7.674837900532472e+149
Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify31.0ms (0.4%)

Memory
-38.5MiB live, 46.0MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
unsub-neg_binary64
neg-mul-1_binary64
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054282
167282
274282
380282
488282
599282
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))
Outputs
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y))

soundness699.0ms (9.2%)

Memory
9.1MiB live, 481.5MiB allocated
Rules
7 199×lower-fma.f64
7 199×lower-fma.f32
2 816×lower-/.f32
2 815×lower-/.f64
2 618×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136557
1378543
21013523
33099517
46414517
08134486
032165
056161
1195158
21291156
08467156
024122
038122
1125122
2736122
08387122
0720
01120
14020
225020
3275420
0920820
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 397 to 171 computations (56.9% saved)

preprocess57.0ms (0.8%)

Memory
22.3MiB live, 132.6MiB allocated
Compiler

Compiled 448 to 134 computations (70.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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