Data.Colour.CIE:cieLAB from colour-2.3.3, C

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample767.0ms (23.3%)

Memory
2.2MiB live, 761.0MiB allocated
Samples
479.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-div: 79.0ms (57.9% of total)
ival-add: 44.0ms (32.2% of total)
ival-true: 6.0ms (4.4% of total)
exact: 5.0ms (3.7% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

explain53.0ms (1.6%)

Memory
-30.9MiB live, 107.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x (/.f64 y #s(literal 500 binary64)))
00-0-#s(literal 500 binary64)
00-0-(/.f64 y #s(literal 500 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54.4% of total)
ival-add: 2.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.7%)

Memory
-13.4MiB live, 24.5MiB allocated
Algorithm
1×egg-herbie
Rules
44×sub-neg
40×distribute-lft-neg-in
34×cancel-sign-sub
26×*-commutative
24×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13225
27425
317625
424525
529425
630125
055
075
185
085
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Rules
4×lower-+.f32
2×lift-+.f64
2×lift-/.f64
2×lower-+.f64
2×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1811
0811
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize13.0ms (0.4%)

Memory
21.3MiB live, 21.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy0.0078125
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

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

series3.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 y #s(literal 500 binary64))) (patch (+.f64 x (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@-inf
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@-inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@0
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500))

simplify189.0ms (5.7%)

Memory
2.0MiB live, 119.3MiB allocated
Algorithm
1×egg-herbie
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 708×associate-/r*
2 352×lower-fma.f64
2 352×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3395138
41104138
52534138
63433138
74306138
84782138
94957138
105047138
115745138
126061138
136065138
146065138
156065138
08138120
Stop Event
1×iter limit
1×node limit
Counts
36 → 33
Calls
Call 1
Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite164.0ms (5%)

Memory
-31.1MiB live, 201.9MiB allocated
Rules
3 588×lower-/.f32
3 586×lower-/.f64
3 556×lower-fma.f64
3 556×lower-fma.f32
2 998×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1318
22358
337068
082957
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 154
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (*.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (-.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
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(/.f64 (*.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (-.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y))) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (-.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)))
(/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/500 binary64) y x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval19.0ms (0.6%)

Memory
30.5MiB live, 30.5MiB allocated
Compiler

Compiled 3 812 to 418 computations (89% saved)

prune25.0ms (0.8%)

Memory
-25.4MiB live, 13.6MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1843187
Fresh000
Picked011
Done000
Total1844188
Accuracy
100.0%
Counts
188 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
▶58.4%
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
✓100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶51.1%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify80.0ms (2.4%)

Memory
12.9MiB live, 54.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 #s(literal 1/250000 binary64) y)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))
cost-diff256
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
cost-diff0
(*.f64 y #s(literal 1/500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Rules
952×lower-fma.f32
948×lower-fma.f64
648×times-frac
640×lower-*.f32
632×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
02766
14566
25566
37566
413666
523066
652566
7125265
8216665
9227865
10232765
11235565
12235565
13242965
14290565
0290563
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
y
#s(literal 1/500 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 #s(literal 1/500 binary64) y)
y
#s(literal 1/500 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1/250000 binary64) y)
#s(literal 1/250000 binary64)
y
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal 1/500 binary64) y x)
y
#s(literal 1/500 binary64)
x

localize51.0ms (1.6%)

Memory
14.1MiB live, 87.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy0.140625
(*.f64 #s(literal 1/500 binary64) y)
accuracy0.27734375
(*.f64 #s(literal 1/250000 binary64) y)
accuracy1.3429837181920887
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))
accuracy26.50687494744851
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
accuracy0.140625
(*.f64 y #s(literal 1/500 binary64))
accuracy31.23760119657872
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 67 to 19 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36.6% of total)
const: 6.0ms (24.4% of total)
ival-div: 4.0ms (16.3% of total)
ival-add: 3.0ms (12.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
-14.8MiB live, 22.6MiB allocated
Counts
8 → 144
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/250000 binary64) y) (patch (*.f64 #s(literal 1/250000 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/250000 (pow y 2)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x 2)) (* 1/250000 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (patch (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ x (/ y 500)) (* y 1/500) (/ (+ (* (* 1/250000 y) y) (* (neg x) x)) (- (* 1/500 y) x)) (+ (* (* 1/250000 y) y) (* (neg x) x)) (* 1/250000 y) (* (neg x) x) (+ (* y 1/500) x) (* 1/500 y))
2.0ms
y
@inf
((+ x (/ y 500)) (* y 1/500) (/ (+ (* (* 1/250000 y) y) (* (neg x) x)) (- (* 1/500 y) x)) (+ (* (* 1/250000 y) y) (* (neg x) x)) (* 1/250000 y) (* (neg x) x) (+ (* y 1/500) x) (* 1/500 y))
1.0ms
y
@-inf
((+ x (/ y 500)) (* y 1/500) (/ (+ (* (* 1/250000 y) y) (* (neg x) x)) (- (* 1/500 y) x)) (+ (* (* 1/250000 y) y) (* (neg x) x)) (* 1/250000 y) (* (neg x) x) (+ (* y 1/500) x) (* 1/500 y))
1.0ms
y
@0
((+ x (/ y 500)) (* y 1/500) (/ (+ (* (* 1/250000 y) y) (* (neg x) x)) (- (* 1/500 y) x)) (+ (* (* 1/250000 y) y) (* (neg x) x)) (* 1/250000 y) (* (neg x) x) (+ (* y 1/500) x) (* 1/500 y))
1.0ms
x
@0
((+ x (/ y 500)) (* y 1/500) (/ (+ (* (* 1/250000 y) y) (* (neg x) x)) (- (* 1/500 y) x)) (+ (* (* 1/250000 y) y) (* (neg x) x)) (* 1/250000 y) (* (neg x) x) (+ (* y 1/500) x) (* 1/500 y))

simplify141.0ms (4.3%)

Memory
24.5MiB live, 185.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 488×lower-fma.f64
7 488×lower-fma.f32
4 138×lower-*.f64
4 138×lower-*.f32
2 894×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039669
1101651
2246651
3788651
42758651
56273651
08057597
Stop Event
1×iter limit
1×node limit
Counts
144 → 135
Calls
Call 1
Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/250000 (pow y 2))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/250000 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/250000 binary64) y) y (*.f64 x x)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite256.0ms (7.8%)

Memory
-4.7MiB live, 273.9MiB allocated
Rules
11 656×lower-fma.f32
11 652×lower-fma.f64
5 250×lower-*.f32
5 242×lower-*.f64
3 696×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01750
02760
111138
276538
0876138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 655
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1/250000 binary64) y)
(*.f64 (neg.f64 x) x)
(fma.f64 y #s(literal 1/500 binary64) x)
(*.f64 #s(literal 1/500 binary64) y)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/250000 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal 1/500 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal 1/500 binary64) y x)) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 (*.f64 (*.f64 #s(literal 1/62500000000 binary64) (*.f64 y y)) y) y (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x x))))
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(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)))))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)))
(+.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64)) x)
(+.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal -1/500 binary64) y x))))
(+.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(+.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (*.f64 (*.f64 y y) y) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/250000 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/500 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal 1/500 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 0 binary64))

eval197.0ms (6%)

Memory
-14.0MiB live, 180.5MiB allocated
Compiler

Compiled 21 850 to 1 052 computations (95.2% saved)

prune73.0ms (2.2%)

Memory
4.5MiB live, 62.8MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New7891790
Fresh000
Picked033
Done101
Total7904794
Accuracy
100.0%
Counts
794 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
✓58.4%
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
▶51.2%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓51.1%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify4.0ms (0.1%)

Memory
5.1MiB live, 5.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Rules
4×lower-+.f64
4×lower-+.f32
2×lift-/.f64
2×lower-/.f32
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
1914
0914
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
Outputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize42.0ms (1.3%)

Memory
-11.7MiB live, 27.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy31.23760119657872
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.8% of total)
ival-add: 1.0ms (24.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.8MiB live, 4.9MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (/.f64 y #s(literal 500 binary64)) (patch (/.f64 y #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) (patch #s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@0
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@-inf
((+ x (/ y 500)) (/ y 500))

simplify247.0ms (7.5%)

Memory
1.4MiB live, 122.2MiB allocated
Algorithm
1×egg-herbie
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 708×associate-/r*
2 352×lower-fma.f64
2 352×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3395138
41104138
52534138
63433138
74306138
84782138
94957138
105047138
115745138
126061138
136065138
146065138
156065138
08138120
Stop Event
1×iter limit
1×node limit
Counts
36 → 33
Calls
Call 1
Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
Outputs
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 y #s(literal 1/500 binary64) x)
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)

rewrite180.0ms (5.5%)

Memory
13.6MiB live, 127.9MiB allocated
Rules
3 588×lower-/.f32
3 586×lower-/.f64
3 556×lower-fma.f64
3 556×lower-fma.f32
2 998×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
0812
13212
223612
3370712
0829611
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 41
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval60.0ms (1.8%)

Memory
-29.1MiB live, 17.3MiB allocated
Compiler

Compiled 462 to 94 computations (79.7% saved)

prune6.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done033
Total74478
Accuracy
100.0%
Counts
78 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
✓58.4%
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
✓51.2%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓51.1%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 69 to 39 computations (43.5% saved)

regimes10.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

3.0ms
(/.f64 y #s(literal 500 binary64))
3.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
100.0%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes42.0ms (1.3%)

Memory
-26.3MiB live, 11.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Outputs
(fma.f64 y #s(literal 1/500 binary64) x)
Calls

4 calls:

36.0ms
y
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Calls

4 calls:

1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.1%1x
51.1%1y
51.1%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
51.1%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11318
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness534.0ms (16.3%)

Memory
-16.7MiB live, 177.9MiB allocated
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 708×associate-/r*
3 588×lower-/.f32
3 586×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3395138
41104138
52534138
63433138
74306138
84782138
94957138
105047138
115745138
126061138
136065138
146065138
156065138
08138120
058
078
1318
22358
337068
082957
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess75.0ms (2.3%)

Memory
17.7MiB live, 55.5MiB allocated
Compiler

Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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