Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, C

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample674.0ms (17.8%)

Memory
11.2MiB live, 1 011.0MiB allocated
Samples
482.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-mult: 200.0ms (73.4% of total)
ival-sub: 59.0ms (21.6% of total)
ival-true: 6.0ms (2.2% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain73.0ms (1.9%)

Memory
6.7MiB live, 122.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
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
21.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.6% of total)
ival-sub: 3.0ms (43.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess34.0ms (0.9%)

Memory
-21.2MiB live, 57.5MiB allocated
Algorithm
egg-herbie
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
44×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13125
27925
317025
424725
527525
628125
055
075
1105
2155
3215
4365
5555
61015
71435
81945
92115
102195
02195
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify10.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
21511
32111
43611
55511
610111
714311
819411
921111
1021911
021911
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
y

localize17.0ms (0.5%)

Memory
-1.6MiB live, 36.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0
(*.f64 x #s(literal 2 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (59% of total)
ival-sub: 1.0ms (29.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify188.0ms (5%)

Memory
-22.0MiB live, 177.7MiB allocated
Algorithm
egg-herbie
Rules
3 140×lower-*.f64
3 140×lower-*.f32
2 392×lower-fma.f64
2 392×lower-fma.f32
1 872×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025141
168141
2170141
3436141
4959141
51938141
63034141
74425141
84903141
95114141
105168141
115910141
126849141
137291141
147873141
08201141
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(* -1 y)
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite367.0ms (9.7%)

Memory
11.3MiB live, 410.9MiB allocated
Rules
15 184×lower-fma.f64
15 184×lower-fma.f32
4 068×lower-*.f32
4 066×lower-*.f64
3 436×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1238
21618
315768
093557
Stop Event
iter limit
node limit
iter limit
Counts
2 → 372
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)))) (fma.f64 x #s(literal 2 binary64) y)))
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(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (*.f64 y y) (*.f64 (/.f64 y (fma.f64 x #s(literal 2 binary64) y)) (/.f64 y (fma.f64 x #s(literal 2 binary64) y))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (-.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval102.0ms (2.7%)

Memory
-10.8MiB live, 106.4MiB allocated
Compiler

Compiled 16 326 to 805 computations (95.1% saved)

prune62.0ms (1.6%)

Memory
1.1MiB live, 157.0MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4062408
Fresh000
Picked011
Done000
Total4063409
Accuracy
100.0%
Counts
409 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
48.5%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
52.5%
#s(approx (- (* x 2) y) (neg.f64 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify10.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (* x 2) y) (neg.f64 y))
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01125
11725
22225
32925
44525
56625
610525
715025
819925
921625
1022425
022425
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize23.0ms (0.6%)

Memory
12.0MiB live, 46.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy32.98866085123717
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
accuracy0
(neg.f64 y)
accuracy30.419226524414707
#s(approx (- (* x 2) y) (neg.f64 y))
Samples
16.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39% of total)
ival-mult: 2.0ms (39% of total)
ival-neg: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-27.8MiB live, 7.0MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify269.0ms (7.1%)

Memory
0.1MiB live, 213.1MiB allocated
Algorithm
egg-herbie
Rules
3 140×lower-*.f64
3 140×lower-*.f32
2 392×lower-fma.f64
2 392×lower-fma.f32
1 872×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025270
168270
2170270
3436270
4959270
51938270
63034270
74425270
84903270
95114270
105168270
115910270
126849270
137291270
147873270
08201270
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(* -1 y)
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(* -1 y)
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite221.0ms (5.9%)

Memory
32.6MiB live, 377.3MiB allocated
Rules
6 618×lower-fma.f64
6 618×lower-fma.f32
3 430×lower-/.f64
3 430×lower-/.f32
3 094×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
01122
13022
217822
3176720
0946918
Stop Event
iter limit
node limit
iter limit
Counts
4 → 68
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (- (* x 2) y) y)
y
(+.f64 y #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) y)
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(+.f64 (/.f64 #s(literal 0 binary64) y) y)
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y) y)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))
(/.f64 (*.f64 y y) y)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y y)) (fma.f64 y y (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 y y (*.f64 (/.f64 #s(literal 0 binary64) y) y))))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))

eval15.0ms (0.4%)

Memory
2.2MiB live, 39.1MiB allocated
Compiler

Compiled 1 028 to 134 computations (87% saved)

prune13.0ms (0.3%)

Memory
-5.4MiB live, 32.7MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1391140
Fresh000
Picked022
Done011
Total1394143
Accuracy
100.0%
Counts
143 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
48.5%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
52.5%
#s(approx (- (* x 2) y) (neg.f64 y))
2.1%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify12.0ms (0.3%)

Memory
-17.1MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* x 2) y) y)
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
068
198
2148
3208
4368
5558
61018
71438
81938
92108
102188
02188
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
y
Outputs
#s(approx (- (* x 2) y) y)
y

localize13.0ms (0.3%)

Memory
30.4MiB live, 30.4MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy62.65311208157454
#s(approx (- (* x 2) y) y)
Samples
8.0ms256×0valid
Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.2% of total)
ival-sub: 1.0ms (30.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())
Outputs
#s(alt (* -1 y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) y) (taylor 0 x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 2))) (taylor -inf x) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 y) (* 2 x)) (taylor 0 y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 2 (/ x y)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -2 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- (* x 2) y) y) (patch #s(approx (- (* x 2) y) y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify225.0ms (6%)

Memory
-35.9MiB live, 245.9MiB allocated
Algorithm
egg-herbie
Rules
3 140×lower-*.f64
3 140×lower-*.f32
2 392×lower-fma.f64
2 392×lower-fma.f32
1 872×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025105
168105
2170105
3436105
4959105
51938105
63034105
74425105
84903105
95114105
105168105
115910105
126849105
137291105
147873105
08201105
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(* -1 y)
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* y (- (* 2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
Outputs
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(- (* 2 x) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* x (+ 2 (* -1 (/ y x))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* x (- (/ y x) 2)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(+ (* -1 y) (* 2 x))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* y (- (* 2 (/ x y)) 1))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)

rewrite682.0ms (18.1%)

Memory
-5.9MiB live, 431.5MiB allocated
Rules
15 184×lower-fma.f64
15 184×lower-fma.f32
4 068×lower-*.f64
4 068×lower-*.f32
3 436×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
067
1227
21607
315707
093666
Stop Event
iter limit
node limit
saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
Outputs
#s(approx (- (* x 2) y) y)

eval38.0ms (1%)

Memory
-33.8MiB live, 4.6MiB allocated
Compiler

Compiled 133 to 6 computations (95.5% saved)

prune3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done033
Total25429
Accuracy
100.0%
Counts
29 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
48.5%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
52.5%
#s(approx (- (* x 2) y) (neg.f64 y))
2.1%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 38 to 20 computations (47.4% saved)

regimes10.0ms (0.3%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Calls

4 calls:

2.0ms
y
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
100.0%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.3%)

Memory
-17.1MiB live, 21.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
Calls

4 calls:

4.0ms
y
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
77.2%3x
76.9%3y
60.4%4(-.f64 (*.f64 x #s(literal 2 binary64)) y)
77.2%3(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
#s(approx (- (* x 2) y) (neg.f64 y))
Outputs
#s(approx (- (* x 2) y) (neg.f64 y))
Calls

4 calls:

2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
52.5%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
52.5%1y
52.5%1x
52.5%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
Outputs
#s(approx (- (* x 2) y) y)
Calls

4 calls:

1.0ms
(*.f64 x #s(literal 2 binary64))
1.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
2.1%1y
2.1%1x
2.1%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.1%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch19.0ms (0.5%)

Memory
-11.0MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.2474660670654006e-79
5.519677501270034e-65
9.0ms
-3.847905752714418e+21
-5008585731933922000.0
Samples
8.0ms288×0valid
Compiler

Compiled 208 to 136 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 3.0ms (102.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01758
12358
22658
32758
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -36500000000000000000 binary64)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4553130216154053/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -36500000000000000000 binary64)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 4553130216154053/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)

soundness623.0ms (16.5%)

Memory
-3.6MiB live, 196.2MiB allocated
Rules
6 618×lower-fma.f64
6 618×lower-fma.f32
3 430×lower-/.f64
3 430×lower-/.f32
3 140×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
01122
13022
217822
3176720
0946918
025141
168141
2170141
3436141
4959141
51938141
63034141
74425141
84903141
95114141
105168141
115910141
126849141
137291141
147873141
08201141
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 57 to 28 computations (50.9% saved)

preprocess35.0ms (0.9%)

Memory
-8.4MiB live, 100.8MiB allocated
Compiler

Compiled 84 to 34 computations (59.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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