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
0.7MiB live, 0.7MiB 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)

sample696.0ms (20.2%)

Memory
-18.8MiB live, 757.9MiB allocated
Samples
421.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 162.0ms
ival-mult: 76.0ms (47% of total)
ival-sub: 74.0ms (45.8% of total)
ival-true: 5.0ms (3.1% of total)
exact: 4.0ms (2.5% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain53.0ms (1.5%)

Memory
34.2MiB live, 71.4MiB 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
26.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58% of total)
ival-sub: 3.0ms (43.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess61.0ms (1.8%)

Memory
-11.2MiB live, 33.2MiB 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 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Compiler

Compiled 5 to 5 computations (0% saved)

simplify8.0ms (0.2%)

Memory
9.7MiB live, 9.7MiB 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)
(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

localize47.0ms (1.4%)

Memory
-21.5MiB live, 16.8MiB 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
43.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 34.0ms (94.9% of total)
ival-sub: 1.0ms (2.8% 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
3.0MiB live, 3.0MiB 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))

simplify176.0ms (5.1%)

Memory
-14.7MiB live, 111.4MiB 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)

rewrite202.0ms (5.9%)

Memory
14.1MiB live, 322.7MiB 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 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal -1 binary64)) #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 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 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 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)) #s(literal 2 binary64))) (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) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.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 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (-.f64 y (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x y)) (pow.f64 (fma.f64 y y (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(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))

eval51.0ms (1.5%)

Memory
3.0MiB live, 153.3MiB allocated
Compiler

Compiled 12 573 to 816 computations (93.5% saved)

prune7.0ms (0.2%)

Memory
36.1MiB live, 36.1MiB 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)
▶47.7%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
▶54.0%
#s(approx (- (* x 2) y) (neg.f64 y))
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify12.0ms (0.3%)

Memory
-10.5MiB live, 26.1MiB 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

localize19.0ms (0.6%)

Memory
13.2MiB live, 51.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy33.4883645976947
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
accuracy0
(neg.f64 y)
accuracy29.459550425138413
#s(approx (- (* x 2) y) (neg.f64 y))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 9 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.3% of total)
ival-sub: 1.0ms (17.4% of total)
ival-neg: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-29.9MiB live, 7.7MiB 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
2.0ms
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))

simplify202.0ms (5.9%)

Memory
11.0MiB live, 177.6MiB 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)

rewrite409.0ms (11.9%)

Memory
-16.8MiB live, 222.8MiB 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) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #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)) (pow.f64 y #s(literal 3 binary64))) (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)) (pow.f64 y #s(literal 3 binary64))) (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 y #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 y y) y)
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.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) (pow.f64 y #s(literal -2 binary64)) y)
(fma.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64)) #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) (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #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) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.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) (pow.f64 x #s(literal 3 binary64)) #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) (pow.f64 x #s(literal 3 binary64)) #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) (pow.f64 x #s(literal 3 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 (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) (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.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))

eval13.0ms (0.4%)

Memory
31.6MiB live, 31.6MiB allocated
Compiler

Compiled 985 to 206 computations (79.1% saved)

prune7.0ms (0.2%)

Memory
-23.8MiB live, 14.2MiB 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)
✓47.7%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓54.0%
#s(approx (- (* x 2) y) (neg.f64 y))
▶2.0%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify8.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB 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

localize12.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy62.70179084387809
#s(approx (- (* x 2) y) y)
Samples
8.0ms256×0valid
Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.7% of total)
ival-sub: 1.0ms (30.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
-35.1MiB live, 3.4MiB 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))

simplify150.0ms (4.4%)

Memory
3.8MiB live, 87.2MiB 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))

rewrite267.0ms (7.8%)

Memory
-3.1MiB live, 162.2MiB 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
4.5MiB live, 4.5MiB allocated
Compiler

Compiled 131 to 10 computations (92.4% saved)

prune3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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)
✓47.7%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
✓54.0%
#s(approx (- (* x 2) y) (neg.f64 y))
✓2.0%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes9.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB 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 #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 x #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
x
2.0ms
y
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 10 to 13 computations (-30% saved)

regimes12.0ms (0.3%)

Memory
-25.0MiB live, 13.0MiB 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) (neg.f64 y))
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* x 2) y) (neg.f64 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
78.5%3x
80.2%3y
56.3%2(-.f64 (*.f64 x #s(literal 2 binary64)) y)
78.5%3(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB 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
x
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
y
2.0ms
(*.f64 x #s(literal 2 binary64))
Results
AccuracySegmentsBranch
54.0%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
54.0%1x
54.0%1(*.f64 x #s(literal 2 binary64))
54.0%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB 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
2.0%1y
2.0%1x
2.0%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch33.0ms (0.9%)

Memory
-13.9MiB live, 23.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
4.257836689115441e-55
1.5480070554921599e-43
1.0ms
-2.047781674880484e-21
-1.893487670292536e-21
Samples
25.0ms176×0valid
Compiler

Compiled 85 to 131 computations (-54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (44% of total)
ival-mult: 1.0ms (44% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify42.0ms (1.2%)

Memory
-17.5MiB live, 31.4MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative-binary64-*.f64
4×+-commutative-binary64-+.f64
4×sub-neg-binary64-neg.f64-+.f64--.f64
2×neg-sub0-binary64--.f64-neg.f64
2×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01853
12453
22753
32853
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 y #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 2123095800038113/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x)) #s(approx (- (* x 2) y) (neg.f64 y))))
#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 y #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 2123095800038113/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x)) #s(approx (- (* x 2) y) (neg.f64 y))))
#s(approx (- (* x 2) y) (neg.f64 y))
#s(approx (- (* x 2) y) y)

soundness768.0ms (22.3%)

Memory
-0.7MiB live, 194.7MiB 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 40 to 32 computations (20% saved)

preprocess148.0ms (4.3%)

Memory
34.8MiB live, 70.9MiB allocated
Compiler

Compiled 66 to 40 computations (39.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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