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

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample490.0ms (13.7%)

Memory
30.7MiB live, 889.5MiB allocated
Samples
287.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div: 77.0ms (57.4% of total)
ival-add: 45.0ms (33.5% of total)
ival-true: 5.0ms (3.7% of total)
exact: 5.0ms (3.7% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

explain177.0ms (5%)

Memory
-23.1MiB live, 61.2MiB 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
151.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54.2% of total)
ival-add: 2.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.5%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
1×egg-herbie
Rules
44×sub-neg
40×distribute-lft-neg-in
34×cancel-sign-sub
26×*-commutative
24×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (0.2%)

Memory
-32.5MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize14.0ms (0.4%)

Memory
22.6MiB live, 22.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy0.015625
(+.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 (45% of total)
ival-add: 2.0ms (45% 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
4.8MiB live, 4.8MiB 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))

simplify185.0ms (5.2%)

Memory
-16.5MiB live, 65.4MiB allocated
Algorithm
1×egg-herbie
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 708×associate-/r*
2 352×lower-fma.f64
2 352×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite231.0ms (6.5%)

Memory
-34.7MiB live, 188.9MiB allocated
Rules
3 588×lower-/.f32
3 586×lower-/.f64
3 556×lower-fma.f64
3 556×lower-fma.f32
2 998×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval54.0ms (1.5%)

Memory
0.2MiB live, 37.1MiB allocated
Compiler

Compiled 3 812 to 418 computations (89% saved)

prune117.0ms (3.3%)

Memory
8.7MiB live, 47.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1843187
Fresh000
Picked011
Done000
Total1844188
Accuracy
100.0%
Counts
188 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
▶49.4%
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶46.5%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify6.0ms (0.2%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff0
(*.f64 #s(literal 1/500 binary64) y)
cost-diff128
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
cost-diff5824
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
cost-diff7104
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 y #s(literal 1/500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Rules
8×lower-+.f32
6×lower-+.f64
6×lower-fma.f32
6×lower-*.f32
6×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01550
02148
12940
23340
33640
03640
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
y
#s(literal 1/500 binary64)
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
x
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
Outputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 #s(literal 1/500 binary64) y)
y
#s(literal 1/500 binary64)
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal 1/500 binary64) y x)
y
#s(literal 1/500 binary64)
x

localize51.0ms (1.4%)

Memory
13.9MiB live, 54.1MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy0.0078125
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
accuracy0.07421875
(*.f64 #s(literal 1/500 binary64) y)
accuracy0.07650375976844202
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
accuracy0.29525375976844204
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy0.07421875
(*.f64 y #s(literal 1/500 binary64))
accuracy17.0548967192851
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Samples
29.0ms127×0valid
13.0ms129×0invalid
Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 3.0ms (17.4% of total)
ival-mult: 3.0ms (17.4% of total)
const: 3.0ms (17.4% of total)
ival-pow2: 3.0ms (17.4% of total)
ival-div: 2.0ms (11.6% of total)
ival-sqrt: 2.0ms (11.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.7%)

Memory
-19.9MiB live, 16.3MiB allocated
Counts
7 → 120
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 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<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 (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt y) (sqrt 1/500)) (taylor inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (pow (sqrt 1/500) 2))) (taylor inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 1/500 binary64)) (patch (*.f64 y #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500)))) (taylor -inf y) (#s(alt (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (patch (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (pow (sqrt -1/500) 2))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2)))) (taylor -inf y) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 1/500 binary64) y) (patch (*.f64 #s(literal 1/500 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1/500))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (pow (sqrt 1/500) 2)) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (pow (sqrt 1/500) 2))) (taylor 0 x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal 1/500 binary64) x) (patch (fma.f64 y #s(literal 1/500 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) (patch #s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x))) (taylor inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<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 (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (patch (+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #<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
16.0ms
x
@-inf
((+ x (/ y 500)) (* y 1/500) (pow (pow (* 1/500 y) 1/2) 2) (pow (* 1/500 y) 1/2) (+ x (pow (pow (* 1/500 y) 1/2) 2)) (* 1/500 y) (+ (* y 1/500) x))
2.0ms
y
@-inf
((+ x (/ y 500)) (* y 1/500) (pow (pow (* 1/500 y) 1/2) 2) (pow (* 1/500 y) 1/2) (+ x (pow (pow (* 1/500 y) 1/2) 2)) (* 1/500 y) (+ (* y 1/500) x))
1.0ms
y
@0
((+ x (/ y 500)) (* y 1/500) (pow (pow (* 1/500 y) 1/2) 2) (pow (* 1/500 y) 1/2) (+ x (pow (pow (* 1/500 y) 1/2) 2)) (* 1/500 y) (+ (* y 1/500) x))
1.0ms
y
@inf
((+ x (/ y 500)) (* y 1/500) (pow (pow (* 1/500 y) 1/2) 2) (pow (* 1/500 y) 1/2) (+ x (pow (pow (* 1/500 y) 1/2) 2)) (* 1/500 y) (+ (* y 1/500) x))
0.0ms
x
@0
((+ x (/ y 500)) (* y 1/500) (pow (pow (* 1/500 y) 1/2) 2) (pow (* 1/500 y) 1/2) (+ x (pow (pow (* 1/500 y) 1/2) 2)) (* 1/500 y) (+ (* y 1/500) x))

simplify141.0ms (3.9%)

Memory
31.0MiB live, 102.7MiB allocated
Algorithm
1×egg-herbie
Rules
2 688×lower-/.f32
2 688×lower-/.f64
2 652×lower-fma.f64
2 652×lower-fma.f32
2 396×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050490
1140490
2350490
3918490
42562490
54022490
65645490
76398490
86972490
97406490
09296436
Stop Event
1×iter limit
1×node limit
Counts
120 → 111
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)
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
x
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(* 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)
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* y (pow (sqrt 1/500) 2))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* (sqrt y) (sqrt 1/500))
(* y (pow (sqrt 1/500) 2))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(* 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 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(* -1 (* y (pow (sqrt -1/500) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(* 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))
(* y (pow (sqrt 1/500) 2))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(+ x (* y (pow (sqrt 1/500) 2)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) 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 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) 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))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
x
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
x
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* 1/500 y))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 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))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* (sqrt y) (sqrt 1/500))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/500 binary64)))
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ (/ x y) (pow (sqrt 1/500) 2)))
(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 (* 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 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/500))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/500 binary64))) (sqrt.f64 y)))
(* -1 (* y (pow (sqrt -1/500) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow (sqrt -1/500) 2))))
(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))
(+ 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)
(* y (pow (sqrt 1/500) 2))
(*.f64 y #s(literal 1/500 binary64))
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(fma.f64 y #s(literal 1/500 binary64) x)
(+ x (* y (pow (sqrt 1/500) 2)))
(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 (/ (* y (pow (sqrt 1/500) 2)) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) x)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* x (+ 1 (/ (* y (pow (sqrt 1/500) 2)) 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 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) x)) 1)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* x (- (* -1 (/ (* y (pow (sqrt 1/500) 2)) 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)

rewrite345.0ms (9.7%)

Memory
0.3MiB live, 235.7MiB allocated
Rules
5 994×lower-fma.f32
5 992×lower-fma.f64
3 914×lower-*.f32
3 910×lower-*.f64
2 434×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01540
02135
19329
257529
3762829
0818429
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 576
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64))
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.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 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/500 binary64))) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 1/500 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 (sqrt.f64 #s(literal 1/500 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/500 binary64)) (pow.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/62500000000 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 #s(literal -500 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal -500 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) y)) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -250000 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal -250000 binary64) y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 #s(literal 250000 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 500 binary64) y)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (/.f64 #s(literal 500 binary64) y)))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (*.f64 (sqrt.f64 #s(literal 500 binary64)) (sqrt.f64 #s(literal 500 binary64))))
(/.f64 y (exp.f64 (log.f64 #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))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(fabs.f64 (*.f64 #s(literal 1/500 binary64) y))
(exp.f64 (*.f64 (neg.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)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
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(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))) (sqrt.f64 y) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/500 binary64))) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #s(literal 1 binary64)) (sqrt.f64 y) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) (sqrt.f64 #s(literal 1/500 binary64)) x)
(fma.f64 (*.f64 (*.f64 y y) #s(literal 1/500 binary64)) (/.f64 #s(literal 1/500 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/250000 binary64) y) (/.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(fma.f64 #s(literal 1/250000 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) x)
(fma.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64)))) x)
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/500 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y))) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (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)))))
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 (sqrt.f64 #s(literal 1/500 binary64)) y) x)
(fma.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal 1/500 binary64)) (pow.f64 (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 #s(literal 1/500 binary64)) (*.f64 y (sqrt.f64 #s(literal 1/500 binary64))) 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 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal 1/500 binary64) y)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/500 binary64) y)) x)
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) (/.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1/500 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/500 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) 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) y x)
(fma.f64 y (/.f64 (*.f64 #s(literal 1/250000 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) 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 #s(literal 1/250000 binary64) y) (/.f64 y (fma.f64 #s(literal -1/500 binary64) y x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.f64 (/.f64 (*.f64 #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 x (*.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)) (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 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))

eval292.0ms (8.2%)

Memory
-25.1MiB live, 145.5MiB allocated
Compiler

Compiled 11 954 to 1 041 computations (91.3% saved)

prune168.0ms (4.7%)

Memory
27.5MiB live, 105.5MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6852687
Fresh000
Picked123
Done011
Total6865691
Accuracy
100.0%
Counts
691 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
✓99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
✓100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
▶46.6%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓46.5%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify8.0ms (0.2%)

Memory
-40.3MiB live, 5.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
cost-diff1600
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Rules
18×lower-*.f32
16×lower-*.f64
12×lower-fma.f32
10×lower-fma.f64
8×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
01631
12131
22428
32628
42928
53028
03027
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(sqrt.f64 y)
y
#s(literal 1/500 binary64)
x
Outputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(*.f64 #s(literal 1/500 binary64) (sqrt.f64 y))
(sqrt.f64 y)
y
#s(literal 1/500 binary64)
x

localize27.0ms (0.8%)

Memory
26.0MiB live, 26.0MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 y)
accuracy0.0625
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
accuracy0.1328125
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy17.0548967192851
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Samples
10.0ms127×0valid
10.0ms129×0invalid
Compiler

Compiled 30 to 12 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
const: 3.0ms (24.3% of total)
ival-div: 2.0ms (16.2% of total)
ival-add: 2.0ms (16.2% of total)
ival-mult: 2.0ms (16.2% of total)
ival-sqrt: 2.0ms (16.2% 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
7.0MiB live, 7.0MiB allocated
Counts
5 → 84
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>) () ())
#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<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 x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor 0 y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<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 (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/500 (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/500 (sqrt y)) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (sqrt y) (taylor inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<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 (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1/500 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/500 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (patch (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt y) (pow (sqrt -1) 2))) (taylor -inf y) (#s(alt (sqrt.f64 y) (patch (sqrt.f64 y) #<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 (* 1/500 y) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/500 y)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<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 (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<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>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/500 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) (patch (fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((+ x (/ y 500)) (/ y 500) (+ (* (* (sqrt y) 1/500) (sqrt y)) x) (* (sqrt y) 1/500) (sqrt y))
1.0ms
y
@inf
((+ x (/ y 500)) (/ y 500) (+ (* (* (sqrt y) 1/500) (sqrt y)) x) (* (sqrt y) 1/500) (sqrt y))
1.0ms
y
@0
((+ x (/ y 500)) (/ y 500) (+ (* (* (sqrt y) 1/500) (sqrt y)) x) (* (sqrt y) 1/500) (sqrt y))
0.0ms
x
@-inf
((+ x (/ y 500)) (/ y 500) (+ (* (* (sqrt y) 1/500) (sqrt y)) x) (* (sqrt y) 1/500) (sqrt y))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500) (+ (* (* (sqrt y) 1/500) (sqrt y)) x) (* (sqrt y) 1/500) (sqrt y))

simplify95.0ms (2.7%)

Memory
6.8MiB live, 81.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 572×lower-fma.f64
4 572×lower-fma.f32
3 400×lower-*.f64
3 400×lower-*.f32
1 154×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037312
1103312
2292312
3703312
42472312
55731312
08214276
Stop Event
1×iter limit
1×node limit
Counts
84 → 78
Calls
Call 1
Inputs
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 (sqrt y))
(* 1/500 (sqrt y))
(* 1/500 (sqrt y))
(* 1/500 (sqrt y))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt 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 (sqrt y))
(* 1/500 (sqrt y))
(* 1/500 (sqrt y))
(* 1/500 (sqrt y))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt 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 (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 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
(* -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))
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 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* y (+ 1/500 (/ x y)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 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 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* 1/500 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 y #s(literal 1/500 binary64) x)
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* 1/500 y)
(*.f64 y #s(literal 1/500 binary64))
(* -1/500 (* y (pow (sqrt -1) 2)))
(*.f64 y #s(literal 1/500 binary64))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 1/500 (pow (sqrt -1) 2)))))
(fma.f64 y #s(literal 1/500 binary64) x)
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* -1/500 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* 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
(* -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)

rewrite200.0ms (5.6%)

Memory
-7.9MiB live, 73.8MiB allocated
Rules
5 786×lower-fma.f32
5 784×lower-fma.f64
3 730×lower-*.f32
3 728×lower-*.f64
1 816×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
01626
15526
238123
3574423
0846721
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 161
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(sqrt.f64 y)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) y)
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y))))
(*.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 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 (sqrt.f64 y) (exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))))
(*.f64 (sqrt.f64 y) (*.f64 #s(literal 1/500 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (exp.f64 (log.f64 #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)))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal -1/500 binary64) y x))) (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (-.f64 (*.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) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (-.f64 (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x) (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x))) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.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 (*.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) (/.f64 #s(literal 1 binary64) (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 -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (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) (/.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 (*.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) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.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 (fma.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/62500000000 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) (*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 (*.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (/.f64 #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 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 (*.f64 (*.f64 #s(literal 1/250000 binary64) y) y) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))) (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/125000000 binary64) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (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))))) (fma.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)))))
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(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(-.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 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)) (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 #s(literal 1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (*.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1/500 binary64)))
(*.f64 #s(literal 1/500 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1/500 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))

eval63.0ms (1.8%)

Memory
11.0MiB live, 47.6MiB allocated
Compiler

Compiled 4 433 to 437 computations (90.1% saved)

prune54.0ms (1.5%)

Memory
5.4MiB live, 42.0MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2640264
Fresh000
Picked022
Done033
Total2645269
Accuracy
100.0%
Counts
269 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
✓99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
✓100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
✓46.6%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
✓46.5%
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
Compiler

Compiled 71 to 40 computations (43.7% saved)

regimes32.0ms (0.9%)

Memory
-12.5MiB live, 24.8MiB 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)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 1/500 binary64)) (sqrt.f64 y) x)
(+.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

23.0ms
(/.f64 y #s(literal 500 binary64))
3.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
100.0%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Outputs
(fma.f64 y #s(literal 1/500 binary64) x)
Calls

4 calls:

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

Compiled 18 to 13 computations (27.8% saved)

regimes46.0ms (1.3%)

Memory
-25.1MiB live, 24.6MiB 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:

41.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
x
1.0ms
(/.f64 y #s(literal 500 binary64))
Results
AccuracySegmentsBranch
46.5%1x
46.5%1y
46.5%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
46.5%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness541.0ms (15.1%)

Memory
-18.5MiB live, 213.3MiB 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
058
078
1318
22358
337068
082957
023138
164138
2141138
3395138
41104138
52534138
63433138
74306138
84782138
94957138
105047138
115745138
126061138
136065138
146065138
156065138
08138120
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess164.0ms (4.6%)

Memory
22.1MiB live, 60.8MiB allocated
Compiler

Compiled 44 to 26 computations (40.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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