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

Time bar (total: 4.4s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample582.0ms (13.3%)

Memory
24.2MiB live, 729.4MiB allocated
Samples
358.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-sub: 83.0ms (48.3% of total)
ival-mult: 76.0ms (44.2% of total)
ival-true: 5.0ms (2.9% of total)
exact: 4.0ms (2.3% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess31.0ms (0.7%)

Memory
-24.4MiB live, 57.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)

explain63.0ms (1.4%)

Memory
18.6MiB live, 93.7MiB 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
32.0ms512×0valid
Compiler

Compiled 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.2% of total)
ival-sub: 2.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify44.0ms (1%)

Memory
-48.9MiB live, 15.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize15.0ms (0.3%)

Memory
12.5MiB live, 12.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
Samples
9.0ms256×0valid
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 (60.1% of total)
ival-sub: 1.0ms (30% 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
4.9MiB live, 4.9MiB 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)

simplify250.0ms (5.7%)

Memory
17.3MiB live, 250.1MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite850.0ms (19.5%)

Memory
-3.7MiB live, 787.3MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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)))

eval61.0ms (1.4%)

Memory
16.5MiB live, 91.0MiB allocated
Compiler

Compiled 16 326 to 805 computations (95.1% saved)

prune71.0ms (1.6%)

Memory
-20.9MiB live, 147.2MiB 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)
▶55.6%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
▶45.4%
#s(approx (- (* x 2) y) (neg.f64 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify13.0ms (0.3%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize22.0ms (0.5%)

Memory
-28.4MiB live, 47.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy55.6%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(neg.f64 y)
✓accuracy45.4%
#s(approx (- (* x 2) y) (neg.f64 y))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.9% of total)
ival-sub: 1.0ms (22% of total)
ival-neg: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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) y)
0.0ms
y
@-inf
(neg y)
0.0ms
x
@-inf
(- (* x 2) y)
0.0ms
x
@inf
(- (* x 2) y)

simplify263.0ms (6%)

Memory
40.7MiB live, 265.8MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite446.0ms (10.2%)

Memory
-44.1MiB live, 489.2MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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 (0.3%)

Memory
5.5MiB live, 43.5MiB allocated
Compiler

Compiled 1 028 to 134 computations (87% saved)

prune13.0ms (0.3%)

Memory
-1.8MiB live, 36.7MiB 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)
✓55.6%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
✓45.4%
#s(approx (- (* x 2) y) (neg.f64 y))
▶2.4%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify11.0ms (0.3%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
y
Outputs
#s(approx (- (* x 2) y) y)
y

localize15.0ms (0.4%)

Memory
-11.7MiB live, 29.9MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy2.4%
#s(approx (- (* x 2) y) y)
Samples
11.0ms256×0valid
Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (70.5% of total)
ival-sub: 1.0ms (23.5% 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
2.1MiB live, 2.1MiB 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
y
@-inf
(- (* x 2) y)
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)

simplify286.0ms (6.6%)

Memory
10.1MiB live, 205.0MiB allocated
Algorithm
1×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
1×iter limit
1×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)

rewrite524.0ms (12%)

Memory
-15.5MiB live, 677.0MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
Outputs
#s(approx (- (* x 2) y) y)

eval2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Compiler

Compiled 133 to 6 computations (95.5% saved)

prune2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB 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)
✓55.6%
#s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64)))
✓45.4%
#s(approx (- (* x 2) y) (neg.f64 y))
✓2.4%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 38 to 20 computations (47.4% saved)

regimes9.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB 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
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
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)

regimes22.0ms (0.5%)

Memory
-20.1MiB live, 18.1MiB 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:

15.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
78.4%3x
77.8%3y
61.7%3(-.f64 (*.f64 x #s(literal 2 binary64)) y)
78.4%3(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory
15.8MiB live, 15.8MiB 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
y
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
x
Results
AccuracySegmentsBranch
45.4%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
45.4%1y
45.4%1x
45.4%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes62.0ms (1.4%)

Memory
-10.5MiB live, 44.6MiB 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:

33.0ms
(*.f64 x #s(literal 2 binary64))
1.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Results
AccuracySegmentsBranch
2.4%1x
2.4%1(*.f64 x #s(literal 2 binary64))
2.4%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.4%1y
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch15.0ms (0.3%)

Memory
-10.5MiB live, 27.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
2.4091549238454013e+61
4.30772114967805e+62
8.0ms
-1.9957841680789806e-22
-5.824169473537413e-24
Samples
6.0ms224×0valid
Compiler

Compiled 164 to 108 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 1.0ms (68.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01758
12358
22658
32758
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -5614659054195485/170141183460469231731687303715884105728 binary64)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 24500000000000001257668277013743254092609749306445035460362240 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 -5614659054195485/170141183460469231731687303715884105728 binary64)) #s(approx (- (* x 2) y) (*.f64 x #s(literal 2 binary64))) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 24500000000000001257668277013743254092609749306445035460362240 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)

soundness610.0ms (14%)

Memory
4.8MiB live, 197.3MiB 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
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 57 to 28 computations (50.9% saved)

preprocess47.0ms (1.1%)

Memory
-5.5MiB live, 115.2MiB 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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