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

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
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)

sample492.0ms (17.5%)

Memory
55.3MiB live, 863.0MiB allocated
Samples
306.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-div: 68.0ms (55% of total)
ival-add: 43.0ms (34.8% of total)
ival-true: 6.0ms (4.9% of total)
exact: 4.0ms (3.2% of total)
ival-assert: 3.0ms (2.4% of total)
Bogosity

explain69.0ms (2.4%)

Memory
-36.4MiB live, 71.4MiB 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
39.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 23.0ms (83.2% of total)
ival-div: 4.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.6%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
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
lower-+.f32
lift-+.f64
lift-/.f64
lower-+.f64
lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1811
0811
Stop Event
iter limit
saturated
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)

localize95.0ms (3.4%)

Memory
-23.1MiB live, 15.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy0.01171875
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Samples
10.0ms256×0valid
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 (57% of total)
ival-add: 1.0ms (28.5% 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
5.7MiB live, 5.7MiB 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))

simplify195.0ms (6.9%)

Memory
-3.1MiB live, 116.6MiB allocated
Algorithm
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
iter limit
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)

rewrite158.0ms (5.6%)

Memory
15.6MiB live, 173.1MiB 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
iter limit
node limit
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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.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))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.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) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/250000 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 2 binary64))))) (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) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (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)) (pow.f64 x #s(literal 4 binary64))))
(*.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) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (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)) (pow.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))
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(/.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 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (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) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 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) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (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 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) #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 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1 binary64)) 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) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (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 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.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 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64))) #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 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 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 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #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 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 y #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 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 500 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal 2 binary64)) #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 (log.f64 (/.f64 #s(literal -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 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.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)))

eval21.0ms (0.8%)

Memory
12.1MiB live, 49.8MiB allocated
Compiler

Compiled 2 922 to 434 computations (85.1% saved)

prune7.0ms (0.3%)

Memory
-26.0MiB live, 12.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1834187
Fresh000
Picked011
Done000
Total1835188
Accuracy
100.0%
Counts
188 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
99.9%
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
51.2%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify15.0ms (0.5%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff0
(*.f64 #s(literal -1/500 binary64) y)
cost-diff128
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
cost-diff0
(/.f64 #s(literal 500 binary64) y)
cost-diff128
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
cost-diff0
(*.f64 y #s(literal 1/500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Rules
144×lower-fma.f32
142×lower-fma.f64
96×lower-*.f32
92×lower-*.f64
52×sub-neg
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
01651
02345
13645
24345
35245
46445
58845
612245
715145
820145
924944
1030244
1131944
1233544
1335244
1439644
1540044
040044
Stop Event
iter limit
saturated
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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
#s(literal 1 binary64)
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
x
(*.f64 #s(literal -1/500 binary64) y)
#s(literal -1/500 binary64)
y
(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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1 binary64)
(/.f64 #s(literal 500 binary64) y)
#s(literal 500 binary64)
y
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(*.f64 #s(literal -1/500 binary64) y)
#s(literal -1/500 binary64)
y
(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

localize138.0ms (4.9%)

Memory
-21.8MiB live, 61.2MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy0.01171875
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
accuracy0.12109375
(*.f64 #s(literal -1/500 binary64) y)
accuracy0
(/.f64 #s(literal 500 binary64) y)
accuracy0.01171875
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
accuracy0.43018047305476015
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
accuracy0.12109375
(*.f64 y #s(literal 1/500 binary64))
accuracy31.186163956032896
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Samples
129.0ms256×0valid
Compiler

Compiled 50 to 17 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
const: 6.0ms (30% of total)
ival-div: 5.0ms (25% of total)
ival-add: 4.0ms (20% of total)
ival-mult: 3.0ms (15% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB 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 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/500 binary64) y) (patch (*.f64 #s(literal -1/500 binary64) y) #<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>) () ())
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 (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 500 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 500 binary64) y) (patch (/.f64 #s(literal 500 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) (patch (-.f64 x (*.f64 #s(literal -1/500 binary64) y)) #<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
1.0ms
y
@0
((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
1.0ms
y
@-inf
((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
1.0ms
y
@inf
((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
0.0ms
x
@inf
((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))
0.0ms
x
@-inf
((+ x (/ y 500)) (* y 1/500) (/ 1 (/ 500 y)) (+ x (/ 1 (/ 500 y))) (/ 500 y) (- x (* -1/500 y)) (* -1/500 y) (+ (* y 1/500) x))

simplify181.0ms (6.4%)

Memory
16.8MiB live, 127.7MiB allocated
Algorithm
egg-herbie
Rules
2 792×lower-*.f64
2 792×lower-*.f32
2 776×lower-/.f32
2 776×lower-/.f64
2 160×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027552
171552
2150552
3425552
41242552
52420552
63217552
73586552
83911552
94094552
105454552
116314552
127170552
137472552
08076480
Stop Event
iter limit
node limit
Counts
144 → 132
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)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 500 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)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 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)
(* 1/500 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)))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 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)))
(* 1/500 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)
(* 1/500 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)))
(/ 500 y)
(/ 500 y)
(/ 500 y)
(/ 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)))
(* 1/500 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))
(* 1/500 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))
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))))
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))))
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)))
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)))
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))
(* 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)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 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 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 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))
(* 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))
(* 1/500 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)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 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 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 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 (* 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))
(* 1/500 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)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 binary64) y)
(/ 500 y)
(/.f64 #s(literal 500 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 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(* -1/500 y)
(*.f64 #s(literal -1/500 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))
(+ 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)
(* 1/500 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)
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)
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)
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)
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)

rewrite201.0ms (7.1%)

Memory
-18.3MiB live, 259.8MiB allocated
Rules
7 120×lower-fma.f32
7 118×lower-fma.f64
3 270×lower-*.f32
3 266×lower-*.f64
2 074×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
02332
19632
264032
3796832
0848332
Stop Event
iter limit
node limit
iter limit
Counts
8 → 609
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
(/.f64 #s(literal 500 binary64) y)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) y)
(fma.f64 y #s(literal 1/500 binary64) x)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.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 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) (/.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) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal 2 binary64)) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.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 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.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 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal -1/500 binary64) (/.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) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -500 binary64) y) #s(literal 2 binary64)) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -500 binary64))
(/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))
(/.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal -1 binary64))
(/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.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 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (-.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (-.f64 (*.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 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x 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 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal -1/500 binary64) y x))
(*.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (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 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -2 binary64)) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
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(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal -1/500 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 x (/.f64 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 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(-.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.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 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/500 binary64) y))
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))

eval174.0ms (6.2%)

Memory
30.5MiB live, 188.6MiB allocated
Compiler

Compiled 12 304 to 672 computations (94.5% saved)

prune32.0ms (1.1%)

Memory
-18.2MiB live, 63.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7401741
Fresh000
Picked044
Done011
Total7406746
Accuracy
100.0%
Counts
746 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
99.9%
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
51.3%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
51.2%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 29 to 31 computations (-6.9% saved)

simplify4.0ms (0.1%)

Memory
6.4MiB live, 6.5MiB allocated
Algorithm
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
lower-+.f64
lower-+.f32
lift-/.f64
lower-/.f32
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
1914
0914
Stop Event
iter limit
saturated
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)

localize15.0ms (0.5%)

Memory
-10.3MiB live, 26.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy31.186163956032896
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 4.0ms (74.6% of total)
ival-add: 1.0ms (18.6% 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
5.9MiB live, 5.9MiB 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
y
@0
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@-inf
((+ x (/ y 500)) (/ y 500))

simplify202.0ms (7.2%)

Memory
-20.0MiB live, 115.6MiB allocated
Algorithm
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
iter limit
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)

rewrite127.0ms (4.5%)

Memory
17.0MiB live, 247.4MiB 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
iter limit
node limit
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 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 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 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #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 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 y #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 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 500 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal 2 binary64)) #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 (log.f64 (/.f64 #s(literal -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 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.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)))

eval8.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated
Compiler

Compiled 452 to 133 computations (70.6% saved)

prune8.0ms (0.3%)

Memory
-24.4MiB live, 14.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done055
Total74680
Accuracy
100.0%
Counts
80 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
99.9%
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
51.3%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
51.2%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 58 to 48 computations (17.2% saved)

regimes11.0ms (0.4%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
6 → 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)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

3.0ms
x
3.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms
(/.f64 y #s(literal 500 binary64))
3.0ms
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 10 to 13 computations (-30% saved)

regimes9.0ms (0.3%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
4 → 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)
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Outputs
(fma.f64 y #s(literal 1/500 binary64) x)
Calls

4 calls:

2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
y
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 10 to 13 computations (-30% saved)

regimes90.0ms (3.2%)

Memory
-31.8MiB live, 11.3MiB 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:

86.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
51.2%1y
51.2%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
51.2%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify28.0ms (1%)

Memory
-3.0MiB live, 35.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11318
Stop Event
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))

soundness474.0ms (16.9%)

Memory
0.1MiB live, 158.7MiB 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
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 25 to 20 computations (20% saved)

preprocess26.0ms (0.9%)

Memory
34.0MiB live, 71.5MiB allocated
Compiler

Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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