Linear.Projection:perspective from linear-1.19.1.3, B

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze53.0ms (0.9%)

Memory
-19.4MiB live, 25.0MiB 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)

sample1.1s (17.8%)

Memory
49.1MiB live, 982.5MiB allocated
Samples
736.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-mult: 252.0ms (67.7% of total)
ival-div: 64.0ms (17.2% of total)
ival-sub: 43.0ms (11.6% of total)
ival-true: 5.0ms (1.3% of total)
exact: 4.0ms (1.1% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain68.0ms (1.1%)

Memory
-7.3MiB live, 189.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-2(2.35776043196787e-69 2.367382094127114e-248)(/.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/n400
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow40
/.f64(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))u/n280
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow28
Confusion
Predicted +Predicted -
+682
-0186
Precision
1.0
Recall
0.9714285714285714
Confusion?
Predicted +Predicted MaybePredicted -
+6802
-00186
Precision?
1.0
Recall?
0.9714285714285714
Freqs
test
numberfreq
0188
168
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.2% of total)
ival-sub: 3.0ms (19.7% of total)
ival-div: 3.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess159.0ms (2.6%)

Memory
19.9MiB live, 94.8MiB allocated
Algorithm
egg-herbie
Rules
962×times-frac
882×associate-*r*
840×times-frac
788×distribute-lft-in
730×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 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.5%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify67.0ms (1.1%)

Memory
2.0MiB live, 41.9MiB 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
840×times-frac
672×lower-fma.f64
672×lower-fma.f32
640×lower-*.f32
636×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 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y
(-.f64 x y)

localize29.0ms (0.5%)

Memory
-2.3MiB live, 34.0MiB 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))
accuracy16.305638544378564
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Samples
24.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 15.0ms (82.8% of total)
ival-sub: 1.0ms (5.5% of total)
ival-div: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (1%)

Memory
-21.1MiB live, 17.7MiB 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 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 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 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 (* -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 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 (* -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 (* -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 -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 (* -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>) () ())) ())
#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 (* 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) (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 (* -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 (* 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 (* 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) (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 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 (* 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 (* 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) (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 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>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
53.0ms
x
@inf
((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms
x
@0
((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms
y
@inf
((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms
x
@-inf
((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))
1.0ms
y
@0
((/ (* (* x 2) y) (- x y)) (* (* x 2) y) (* x 2) (- x y))

simplify675.0ms (11.2%)

Memory
-212.5MiB live, 197.7MiB allocated
Algorithm
egg-herbie
Rules
14 398×lower-fma.f64
14 398×lower-fma.f32
5 052×lower-*.f64
5 052×lower-*.f32
1 978×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136557
1378543
21014523
33096517
46425517
08149486
Stop Event
iter limit
node limit
Counts
84 → 81
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 y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -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 y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -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))
(* -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 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 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 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 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 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
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 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x 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 (fma.f64 x (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* -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)
(* -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 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* -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)
(* -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 #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 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* 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 (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
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)
(* 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 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) x))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 (* x y))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
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)

rewrite218.0ms (3.6%)

Memory
27.9MiB live, 341.1MiB allocated
Rules
5 632×lower-/.f32
5 630×lower-/.f64
3 830×lower-*.f32
3 826×lower-*.f64
2 056×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 y (*.f64 #s(literal 2 binary64) x))) #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 y (*.f64 #s(literal 2 binary64) x))) #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 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #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 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(-.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 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))

eval59.0ms (1%)

Memory
14.6MiB live, 131.0MiB allocated
Compiler

Compiled 11 154 to 1 335 computations (88% saved)

prune253.0ms (4.2%)

Memory
-40.6MiB live, 91.7MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4797486
Fresh000
Picked101
Done000
Total4807487
Accuracy
100.0%
Counts
487 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
41.3%
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)))
90.3%
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
51.0%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
49.4%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
49.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
51.6%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 122 to 98 computations (19.7% saved)

simplify284.0ms (4.7%)

Memory
35.8MiB live, 71.4MiB 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 y #s(literal 2 binary64))
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) y)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff384
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
Rules
2 392×lower-fma.f32
2 388×lower-fma.f64
1 752×lower-*.f32
1 742×lower-*.f64
936×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024135
038135
167135
2119135
3182135
4228135
5452135
6789135
71797135
83295135
94183135
104521135
114629135
124649135
134650135
144842135
154922135
164922135
175010135
185160135
195214135
205214135
215290135
225459135
235652135
245670135
255670135
265670135
05670135
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (-.f64 x y) y)
(-.f64 x y)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
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 (/.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 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(/.f64 (-.f64 x y) y)
(-.f64 x y)
y
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
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 (/.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)

localize114.0ms (1.9%)

Memory
-17.6MiB live, 100.2MiB 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))
accuracy0.078125
(fma.f64 (/.f64 x y) x x)
accuracy31.365091806595423
#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)
accuracy0.05859375
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)
accuracy0.1171875
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64))
accuracy32.38823215928197
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy32.04951421231311
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
accuracy0
(*.f64 #s(literal -2 binary64) x)
accuracy30.947042436447884
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
accuracy0
(-.f64 x y)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.015625
(/.f64 (-.f64 x y) y)
accuracy6.111824120165617
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
Samples
89.0ms256×0valid
Compiler

Compiled 115 to 23 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 16.0ms (40.9% of total)
ival-div: 14.0ms (35.8% of total)
ival-sub: 6.0ms (15.3% of total)
ival-add: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory
1.0MiB live, 36.2MiB allocated
Counts
16 → 336
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<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 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #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 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (/.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 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (/.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 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) 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 (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<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 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<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 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.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 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 #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 (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#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 (* 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 (/.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 (* 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 (/.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 (* 2 y) (taylor 0 y) (#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 (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#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 (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#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 (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#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 2 (taylor 0 y) (#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 (+ 2 (* 2 (/ y x))) (taylor 0 y) (#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 (+ 2 (* 2 (/ y x))) (taylor 0 y) (#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>) () ())) ())
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#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 #s(literal -2 binary64) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -2 binary64) x) (patch (*.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 y #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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 (/.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 (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#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 (+ (* -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 (/.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 (+ (* -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 (/.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 (* 2 y) (taylor -inf x) (#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 (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#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 (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#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 (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#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 2 (taylor -inf x) (#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 (+ 2 (* 2 (/ y x))) (taylor -inf x) (#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 (+ 2 (* 2 (/ y x))) (taylor -inf x) (#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 (+ 2 (* 2 (/ y x))) (taylor -inf x) (#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 (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#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 (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#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 (+ (* -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 (/.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 (+ (* -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 (/.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 (* -2 (/ (pow x 2) y)) (taylor -inf x) (#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 (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#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 (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#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 (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) (taylor -inf x) (#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 (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
((/ (* 2 x) (/ (- x y) y)) (* 2 x) (/ (- x y) y) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms
x
@-inf
((/ (* 2 x) (/ (- x y) y)) (* 2 x) (/ (- x y) y) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms
y
@-inf
((/ (* 2 x) (/ (- x y) y)) (* 2 x) (/ (- x y) y) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms
x
@inf
((/ (* 2 x) (/ (- x y) y)) (* 2 x) (/ (- x y) y) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))
2.0ms
x
@0
((/ (* 2 x) (/ (- x y) y)) (* 2 x) (/ (- x y) y) (- x y) (/ (* (* x 2) y) (- x y)) (* -2 x) (/ (* (* x 2) y) (- x y)) (* y 2) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ 2 x) y) 2) y) (+ (* (/ 2 x) y) 2) (/ 2 x) (/ (* (* x 2) y) (- x y)) (* (+ (* (/ x y) x) x) -2) (+ (* (/ x y) x) x) (/ x y))

simplify196.0ms (3.2%)

Memory
-1.2MiB live, 275.3MiB allocated
Algorithm
egg-herbie
Rules
15 370×lower-fma.f64
15 370×lower-fma.f32
4 690×lower-*.f64
4 690×lower-*.f32
2 658×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642851
14642673
212782573
338992533
471112533
082962332
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))))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 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 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 y)
(* 2 y)
(* 2 y)
(* 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 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 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 (/ (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)
(/ (pow x 2) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -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))))))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -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) (+ (* -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 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -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 (/ (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))
(* 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 (/ (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) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (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)
(* -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)))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ 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)
(+ (* -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 (/ (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)
(* 2 y)
(* 2 y)
(* 2 y)
(* -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))
(* (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))
(* 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 (/ (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 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (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)
(* -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 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(* -1 y)
(- x y)
(- x y)
(- 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 x)
(* -2 x)
(* -2 x)
(* -2 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 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 (/ (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 x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 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 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(* x (+ 1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 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 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 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)))
(+ (* 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)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 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 (/ (pow x 2) y))
(* -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)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* 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 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 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)
(+ (* 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)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 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 (/ (pow x 2) y))
(* -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)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ x y)
(/ x 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 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) 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)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* 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 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* 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 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* 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))
(* 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 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* 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 (* 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
#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)
(*.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 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y)
(* -2 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (+ (* x y) (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)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
-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 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)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #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 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* 2 (/ (pow y 2) x))
(*.f64 (*.f64 (/.f64 y x) y) #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 (/ 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) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
x
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 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 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)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #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 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 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 y)))
(* 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)
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(+ 2 (* 2 (/ y x)))
(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 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 (*.f64 #s(literal -2 binary64) (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 x)))
(* -2 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite174.0ms (2.9%)

Memory
8.2MiB live, 299.1MiB allocated
Rules
5 344×lower-fma.f32
5 340×lower-fma.f64
5 172×lower-*.f32
5 162×lower-*.f64
4 256×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024122
038122
1132122
2833122
08638122
Stop Event
iter limit
node limit
iter limit
Counts
16 → 697
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x y) y)
(-.f64 x y)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 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 (/.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) (/.f64 x (-.f64 x y))) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) x)
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) y)
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x) (*.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y x))
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y)))) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x))))) (+.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x y))) (*.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 y (-.f64 y x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y)))) (+.f64 y x))
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 y x))) (neg.f64 y))
(*.f64 (*.f64 y (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal -2 binary64) (-.f64 y x)))) (+.f64 y x))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal -2 binary64) (-.f64 y x))) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y x)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 (-.f64 x y) y)))
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) x) #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 (/.f64 x (+.f64 y x)) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(literal -2 binary64) (-.f64 y x))) (*.f64 (+.f64 y x) y))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) y))
(*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x)))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (-.f64 y x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 y x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (+.f64 y x) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 x (/.f64 y (-.f64 x y))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x))) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 y (-.f64 x y)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (-.f64 x y)) x) #s(literal 2 binary64)))
(*.f64 (*.f64 y x) (/.f64 #s(literal -2 binary64) (-.f64 y x)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 y x))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x (/.f64 y (-.f64 y x))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) y)))
(*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 y (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 y (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (-.f64 x y)))
(*.f64 x (*.f64 #s(literal -2 binary64) (/.f64 y (-.f64 y x))))
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 x (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) y))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y (-.f64 x y))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 x y) y) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y x)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x)))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 y x) y))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 y x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) x)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 y x) y))
(/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x))))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x)))))
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(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) x))))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (neg.f64 x))) (fma.f64 (neg.f64 x) (/.f64 x y) x)))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 x y) 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)) (pow.f64 y #s(literal -1 binary64)) 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 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x) x)
(fma.f64 #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) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 (-.f64 x y) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 x y) y)))))
(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 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (-.f64 x y) y))) (/.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 x y) y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (-.f64 x y) y))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 (-.f64 x y) y)))))
(+.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 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) 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 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) 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)))

eval267.0ms (4.4%)

Memory
14.8MiB live, 205.3MiB allocated
Compiler

Compiled 17 081 to 2 362 computations (86.2% saved)

prune192.0ms (3.2%)

Memory
-4.8MiB live, 194.3MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 02521 027
Fresh202
Picked145
Done000
Total1 02861 034
Accuracy
100.0%
Counts
1 034 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
90.3%
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
51.0%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
49.4%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
49.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
51.6%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 44 to 39 computations (11.4% saved)

simplify90.0ms (1.5%)

Memory
-7.0MiB live, 31.8MiB 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 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) y)
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 x (-.f64 y x))
cost-diff0
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
Rules
912×lower-fma.f64
912×lower-fma.f32
908×times-frac
848×lower-*.f32
842×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
02147
13747
26047
38747
410747
517147
633947
772647
8164447
9254347
10276447
11293947
12297547
13298547
14299747
15299747
16299747
17303747
18331247
0331247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (-.f64 y x))
x
(-.f64 y x)
y
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 y x))
x
(-.f64 y x)
y
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64))) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)

localize160.0ms (2.6%)

Memory
-5.4MiB live, 43.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(-.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy6.111824120165617
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy0
(-.f64 y x)
accuracy0
(*.f64 #s(literal -2 binary64) y)
accuracy0.015625
(/.f64 x (-.f64 y x))
accuracy6.204433319250463
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
Samples
152.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 25.0ms (76.7% of total)
ival-div: 5.0ms (15.3% of total)
ival-sub: 2.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series111.0ms (1.8%)

Memory
-14.3MiB live, 24.3MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) y) (patch (*.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<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 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) 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 (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ y x)) 1) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -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 0 y) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 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 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -2 x) (taylor inf y) (#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) 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 (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) 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 (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) (patch (*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -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 x) (taylor inf y) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y x)) (patch (/.f64 x (-.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (/ x (- y x)) (* -2 y)) (/ x (- y x)) (- y x) (* -2 y) (/ (* 2 x) (- (/ x y) 1)) (* 2 x) (- (/ x y) 1) (/ x y))
1.0ms
x
@inf
((* (/ x (- y x)) (* -2 y)) (/ x (- y x)) (- y x) (* -2 y) (/ (* 2 x) (- (/ x y) 1)) (* 2 x) (- (/ x y) 1) (/ x y))
1.0ms
x
@-inf
((* (/ x (- y x)) (* -2 y)) (/ x (- y x)) (- y x) (* -2 y) (/ (* 2 x) (- (/ x y) 1)) (* 2 x) (- (/ x y) 1) (/ x y))
1.0ms
y
@0
((* (/ x (- y x)) (* -2 y)) (/ x (- y x)) (- y x) (* -2 y) (/ (* 2 x) (- (/ x y) 1)) (* 2 x) (- (/ x y) 1) (/ x y))
1.0ms
y
@inf
((* (/ x (- y x)) (* -2 y)) (/ x (- y x)) (- y x) (* -2 y) (/ (* 2 x) (- (/ x y) 1)) (* 2 x) (- (/ x y) 1) (/ x y))

simplify304.0ms (5%)

Memory
18.3MiB live, 213.3MiB allocated
Algorithm
egg-herbie
Rules
12 292×lower-fma.f64
12 292×lower-fma.f32
5 250×lower-*.f64
5 250×lower-*.f32
2 514×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02401321
17241278
219861197
370431197
082381111
Stop Event
iter limit
node limit
Counts
168 → 165
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))))))
-1
(- (* -1 (/ y x)) 1)
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1)
(* -1 x)
(- y x)
(- y x)
(- y x)
(* -2 y)
(* -2 y)
(* -2 y)
(* -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))))))
(/ x y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ (+ x (* -1 y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -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))))))
(/ x y)
(/ (+ x (/ (pow x 2) y)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -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))))))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -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)))
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -2 y)
(* -2 y)
(* -2 y)
(* -2 y)
(* -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)))
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ 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))
(/ x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
-1
(- (/ x y) 1)
(- (/ x y) 1)
(- (/ x y) 1)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 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))))))
-1
(- (* -1 (/ y x)) 1)
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ x y)
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(* x (- (/ 1 y) (/ 1 x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 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))
-1
(- (* -1 (/ y x)) 1)
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(* -1 (* x (- (/ 1 x) (/ 1 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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) y)
-1
#s(literal -1 binary64)
(- (* -1 (/ y x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(- (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x))
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 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 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 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x) #s(literal 2 binary64))) 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)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) x x) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (* -1 (/ (pow x 2) y))) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y)
(/ (- (+ x (/ (pow x 4) (pow y 3))) (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) y)
y
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y 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 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -2 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y))
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y))
(/.f64 (fma.f64 (/.f64 x y) x x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))) y))
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 4) y)) (* -1 (pow x 3))) y)) (pow x 2)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y) x) y)
y
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y 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 x)
(*.f64 #s(literal -2 binary64) x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (/ x (pow y 2))))
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 x y))
(* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 x y) y)) x (/.f64 x y))
(* x (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (/.f64 x y) y)) x (/.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (/ x y)) 2))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #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 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 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(- (/ x y) 1)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 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)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ y x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* 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 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)))))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (- (/ 1 y) (/ 1 x)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(* x (- (/ 1 y) (/ 1 x)))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 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))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ y x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 y x))
(- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* 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 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y))
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite234.0ms (3.9%)

Memory
-16.2MiB live, 101.4MiB allocated
Rules
4 070×lower-*.f32
4 064×lower-*.f64
3 536×lower-/.f32
3 530×lower-/.f64
3 082×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
02140
18140
252640
3795440
0835040
Stop Event
iter limit
node limit
iter limit
Counts
8 → 494
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 x (-.f64 y x))
(-.f64 y x)
(*.f64 #s(literal -2 binary64) y)
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (/.f64 x (-.f64 y x)))
(*.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 #s(literal -2 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (+.f64 y x) x))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) x))
(*.f64 (/.f64 y (-.f64 y x)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) x)
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 y x)) y) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x))) y)
(*.f64 (+.f64 y x) (*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)))
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 y (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) x))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x)))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 x (-.f64 y x)) y))
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(*.f64 y (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 y x))))
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y))
(pow.f64 (/.f64 (/.f64 (-.f64 y x) x) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (+.f64 y x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y)) (/.f64 (-.f64 x y) x))
(/.f64 (*.f64 (*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (*.f64 (*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) x))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) (/.f64 (-.f64 x y) x))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x))))
(/.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
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(fma.f64 (/.f64 x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -3/2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #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 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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 #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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 #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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 y #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 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.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 (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(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)))

eval101.0ms (1.7%)

Memory
28.2MiB live, 98.6MiB allocated
Compiler

Compiled 12 899 to 1 536 computations (88.1% saved)

prune142.0ms (2.4%)

Memory
-11.9MiB live, 154.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New6590659
Fresh000
Picked022
Done044
Total6596665
Accuracy
100.0%
Counts
665 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
90.3%
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
51.0%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)))
49.4%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y))
49.9%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
51.6%
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Compiler

Compiled 132 to 78 computations (40.9% saved)

regimes17.0ms (0.3%)

Memory
-18.4MiB live, 27.2MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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) x x) #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y))
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
100.0%3y
96.7%3(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes29.0ms (0.5%)

Memory
4.6MiB live, 41.2MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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) x x) #s(literal -2 binary64)))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x 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 #s(literal -2 binary64) x))
Calls

2 calls:

5.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
96.7%3x
97.3%3y
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 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) x x) #s(literal -2 binary64)))
Outputs
#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) x) y #s(literal 2 binary64)) y))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
2.0ms
x
Results
AccuracySegmentsBranch
58.9%3(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
75.6%3x
78.8%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
78.6%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
-30.3MiB live, 7.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
78.6%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB 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) x))
Outputs
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.6%1(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
51.6%1x
51.6%1y
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch26.0ms (0.4%)

Memory
-18.5MiB live, 67.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.394829856992663e-185
2.7619460420945892e-182
12.0ms
-5.167601805799219e-86
-1.745431443700579e-88
Samples
13.0ms256×0valid
Compiler

Compiled 300 to 284 computations (5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.7% of total)
ival-div: 2.0ms (31.8% of total)
ival-sub: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Memory
28.7MiB live, 66.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.9892091733593267e+159
4.455492212227095e+173
11.0ms
-2.4942736625241024e+253
-2.1193812099471807e+244
Samples
15.0ms304×0valid
Compiler

Compiled 304 to 296 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (63.9% of total)
ival-div: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Memory
-8.7MiB live, 66.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.00011476201065152897
165.0606737402896
12.0ms
-1.745431443700579e-88
-3.219384150350608e-92
Samples
16.0ms272×0valid
Compiler

Compiled 273 to 266 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.8% of total)
ival-mult: 3.0ms (34.3% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
6.2MiB live, 6.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00011476201065152897
165.0606737402896
1.0ms
-1.745431443700579e-88
-3.219384150350608e-92
Compiler

Compiled 233 to 250 computations (-7.3% saved)

bsearch15.0ms (0.3%)

Memory
-6.6MiB live, 37.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00011476201065152897
165.0606737402896
1.0ms
-1.745431443700579e-88
-3.219384150350608e-92
Samples
6.0ms128×0valid
Compiler

Compiled 148 to 216 computations (-45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (65.1% of total)
ival-sub: 1.0ms (32.5% of total)
ival-div: 1.0ms (32.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify26.0ms (0.4%)

Memory
-4.6MiB live, 74.5MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative-binary64-*.f64
12×unsub-neg-binary64--.f64-neg.f64-+.f64
10×neg-mul-1-binary64-*.f64-neg.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050252
163252
270252
376252
484252
595252
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8222612978703425/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.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 -21499999999999998951758214824662087562110855974662094921412925194165422276328798281854292151228861452979018460363910540950997855338486891437839372586363185418821319676400006516374311509203129263687946421855171420498083647319222043627568299507712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 379999999999999993721717938684107504977313735970497093840301457684979433169607666331493791677346896052583262545093383349812265283855037874537591936353280861820185214976 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1152921504606847/9223372036854775808 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 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1152921504606847/9223372036854775808 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 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #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) x))
Outputs
(if (<=.f64 y #s(literal -7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8222612978703425/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.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 -7139186365691751/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8222612978703425/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936 binary64)) (*.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -21499999999999998951758214824662087562110855974662094921412925194165422276328798281854292151228861452979018460363910540950997855338486891437839372586363185418821319676400006516374311509203129263687946421855171420498083647319222043627568299507712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 379999999999999993721717938684107504977313735970497093840301457684979433169607666331493791677346896052583262545093383349812265283855037874537591936353280861820185214976 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -21499999999999998951758214824662087562110855974662094921412925194165422276328798281854292151228861452979018460363910540950997855338486891437839372586363185418821319676400006516374311509203129263687946421855171420498083647319222043627568299507712 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) (if (<=.f64 y #s(literal 379999999999999993721717938684107504977313735970497093840301457684979433169607666331493791677346896052583262545093383349812265283855037874537591936353280861820185214976 binary64)) (*.f64 (/.f64 x (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1152921504606847/9223372036854775808 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 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) x x))) (if (<=.f64 y #s(literal 1152921504606847/9223372036854775808 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 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1152921504606847/9223372036854775808 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 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 y #s(literal 2 binary64))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 y #s(literal -5912926119349403/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 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) x))

soundness666.0ms (11%)

Memory
-5.0MiB live, 518.0MiB allocated
Rules
14 398×lower-fma.f64
14 398×lower-fma.f32
5 632×lower-/.f32
5 630×lower-/.f64
5 344×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024122
038122
1132122
2833122
08638122
0720
01120
14020
225020
3275420
0920820
0136557
1378543
21014523
33096517
46425517
08149486
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 266 to 135 computations (49.2% saved)

preprocess58.0ms (1%)

Memory
16.3MiB live, 131.7MiB allocated
Compiler

Compiled 376 to 138 computations (63.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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