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

Time bar (total: 3.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample573.0ms (17.1%)

Memory
-0.2MiB live, 784.6MiB allocated
Samples
361.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 68.0ms (53% of total)
ival-sub: 48.0ms (37.4% of total)
ival-true: 5.0ms (3.9% of total)
exact: 4.0ms (3.1% of total)
ival-assert: 3.0ms (2.3% of total)
Bogosity

explain85.0ms (2.5%)

Memory
-19.6MiB live, 74.2MiB 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
58.0ms512×0valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 42.0ms (92.8% of total)
ival-sub: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (0.7%)

Memory
24.9MiB live, 24.9MiB 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)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify17.0ms (0.5%)

Memory
-25.7MiB live, 11.4MiB 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)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
y

localize13.0ms (0.4%)

Memory
18.7MiB live, 18.7MiB 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
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 (62.1% of total)
ival-sub: 1.0ms (31% 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
4.0MiB live, 4.0MiB 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 (* 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 (* -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 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 (*.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 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 (*.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 -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

6 calls:

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

simplify149.0ms (4.4%)

Memory
6.4MiB live, 81.8MiB 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
025141
168141
2170141
3436141
4958141
51948141
63052141
74443141
84919141
95131141
105185141
115944141
126883141
137325141
147907141
08235141
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* 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)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite349.0ms (10.4%)

Memory
-29.5MiB live, 210.0MiB 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
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 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 #s(literal -4 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 2 binary64) x y))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -4 binary64) (*.f64 x x))) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
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(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #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 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))

eval71.0ms (2.1%)

Memory
39.9MiB live, 74.3MiB allocated
Compiler

Compiled 16 362 to 807 computations (95.1% saved)

prune70.0ms (2.1%)

Memory
-11.8MiB live, 140.5MiB 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)
▶54.8%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
▶46.8%
#s(approx (- (* x 2) y) (neg.f64 y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify32.0ms (0.9%)

Memory
-13.4MiB live, 24.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
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
714825
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 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize43.0ms (1.3%)

Memory
-19.1MiB live, 38.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy28.92610881840353
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
accuracy0
(neg.f64 y)
accuracy34.022634627334625
#s(approx (- (* x 2) y) (neg.f64 y))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 9 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.8% of total)
ival-sub: 1.0ms (17.3% of total)
ival-neg: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

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

6 calls:

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

simplify161.0ms (4.8%)

Memory
21.8MiB live, 132.3MiB 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
4958270
51948270
63052270
74443270
84919270
95131270
105185270
115944270
126883270
137325270
147907270
08235270
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 2 x)
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(+ (* -1 y) (* 2 x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 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 y)
(* -1 y)
(* -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 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* -1 y)
(- (* 2 x) y)
(- (* 2 x) y)
(- (* 2 x) y)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* x (+ 2 (* -1 (/ y x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* -1 (* x (- (/ y x) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (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)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (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)
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (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 (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite293.0ms (8.7%)

Memory
11.2MiB live, 211.1MiB 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
3177320
0944818
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 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (- (* x 2) y) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (*.f64 (*.f64 y 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))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 3 binary64)) (*.f64 (*.f64 y 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 (fma.f64 (*.f64 y y) y #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.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 (*.f64 y y) y)
(/.f64 (*.f64 (*.f64 y y) y) (*.f64 y y))
(neg.f64 y)
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)) y)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y) y)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (/.f64 #s(literal 0 binary64) y) y)
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 0 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #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 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))

eval15.0ms (0.4%)

Memory
-8.8MiB live, 28.4MiB allocated
Compiler

Compiled 1 028 to 134 computations (87% saved)

prune14.0ms (0.4%)

Memory
-9.2MiB live, 28.0MiB 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)
✓54.8%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓46.8%
#s(approx (- (* x 2) y) (neg.f64 y))
▶2.3%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify8.0ms (0.2%)

Memory
12.8MiB live, 12.7MiB 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 (0.5%)

Memory
-13.5MiB live, 22.7MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy62.53104143473691
#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 (61.7% of total)
ival-sub: 1.0ms (30.8% 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
2.8MiB live, 2.8MiB 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 (* 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>) () ())) ())
#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>) () ())) ())
Calls

6 calls:

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

simplify157.0ms (4.7%)

Memory
29.4MiB live, 146.5MiB 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
4958105
51948105
63052105
74443105
84919105
95131105
105185105
115944105
126883105
137325105
147907105
08235105
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* 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)
(- (* 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)))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(+ (* -1 y) (* 2 x))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* y (- (* 2 (/ x y)) 1))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* y (+ 1 (* -2 (/ x y)))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 y)
(neg.f64 y)
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(- (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* x (+ 2 (* -1 (/ y x))))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))
(* -1 (* x (- (/ y x) 2)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 y))

rewrite240.0ms (7.2%)

Memory
-13.1MiB live, 278.1MiB 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
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
5.1MiB live, 5.1MiB allocated
Compiler

Compiled 133 to 6 computations (95.5% saved)

prune19.0ms (0.6%)

Memory
-33.1MiB live, 6.4MiB 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)
✓54.8%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓46.8%
#s(approx (- (* x 2) y) (neg.f64 y))
✓2.3%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes10.0ms (0.3%)

Memory
18.9MiB live, 18.9MiB 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 #s(literal 2 binary64) x))
(-.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)

regimes8.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB 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 #s(literal 2 binary64) x))
Outputs
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
y
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
80.5%3x
77.8%3y
63.3%5(-.f64 (*.f64 x #s(literal 2 binary64)) y)
80.5%3(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes136.0ms (4.1%)

Memory
-24.1MiB live, 15.4MiB 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:

131.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
(*.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
46.8%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
46.8%1y
46.8%1x
46.8%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB 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 (*.f64 x #s(literal 2 binary64)) y)
1.0ms
(*.f64 x #s(literal 2 binary64))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.3%1y
2.3%1x
2.3%1(*.f64 x #s(literal 2 binary64))
2.3%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.452536544488955e+98
2.3201654389954242e+101
0.0ms
-15175167.30222187
-5.390584644054938e-5
Compiler

Compiled 10 to 10 computations (0% saved)

simplify7.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB 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
01858
12458
22758
32858
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 -10000000 binary64)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)
Outputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(-.f64 (*.f64 #s(literal 2 binary64) x) y)
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -10000000 binary64)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -10000000 binary64)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x)) (if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)

soundness773.0ms (23%)

Memory
-29.1MiB live, 129.8MiB 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
3177320
0944818
025141
168141
2170141
3436141
4958141
51948141
63052141
74443141
84919141
95131141
105185141
115944141
126883141
137325141
147907141
08235141
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)

preprocess58.0ms (1.7%)

Memory
-5.1MiB live, 74.9MiB 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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