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

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample1.1s (30%)

Memory
-6.3MiB live, 822.7MiB allocated
Samples
647.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 468.0ms
ival-mult: 411.0ms (87.8% of total)
ival-sub: 43.0ms (9.2% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain88.0ms (2.3%)

Memory
-1.6MiB live, 79.2MiB 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
19.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.7% of total)
ival-sub: 3.0ms (41% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.6%)

Memory
23.9MiB live, 23.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
6.2MiB live, 6.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
Iterations

Useful iterations: 0 (0.0ms)

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

localize30.0ms (0.8%)

Memory
-25.7MiB live, 12.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0
(*.f64 x #s(literal 2 binary64))
Samples
26.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 16.0ms (88% of total)
ival-sub: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB 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
@-inf
((- (* x 2) y) (* x 2))

simplify282.0ms (7.5%)

Memory
34.2MiB live, 103.6MiB allocated
Algorithm
egg-herbie
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
iter limit
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)

rewrite450.0ms (11.9%)

Memory
-36.9MiB live, 288.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1238
21618
315768
093557
Stop Event
iter limit
node limit
iter limit
Counts
2 → 372
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
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eval78.0ms (2%)

Memory
1.4MiB live, 88.0MiB allocated
Compiler

Compiled 12 573 to 816 computations (93.5% saved)

prune7.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4062408
Fresh000
Picked011
Done000
Total4063409
Accuracy
100.0%
Counts
409 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
48.4%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
53.1%
#s(approx (- (* x 2) y) (neg.f64 y))
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify9.0ms (0.2%)

Memory
6.3MiB live, 6.3MiB allocated
Algorithm
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01125
11725
22225
32925
44525
56625
610625
715125
820025
921725
1022525
022525
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (* x 2) y) (*.f64 #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

localize58.0ms (1.5%)

Memory
2.1MiB live, 41.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy33.01851880443885
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
accuracy0
(neg.f64 y)
accuracy30.014400254281707
#s(approx (- (* x 2) y) (neg.f64 y))
Samples
53.0ms256×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 43.0ms (93.4% of total)
ival-sub: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-24.7MiB live, 11.0MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt #s(approx (- (* x 2) y) (neg.f64 y)) (patch #s(approx (- (* x 2) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x 2) y) (*.f64 #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
3.0ms
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
@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
x
@0
((- (* x 2) y) (neg y) (- (* x 2) y) (* 2 x))

simplify159.0ms (4.2%)

Memory
8.6MiB live, 127.4MiB allocated
Algorithm
egg-herbie
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
iter limit
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)

rewrite202.0ms (5.3%)

Memory
-30.0MiB live, 151.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
01122
13022
217822
3177320
0943318
Stop Event
iter limit
node limit
iter limit
Counts
4 → 68
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval34.0ms (0.9%)

Memory
-1.1MiB live, 36.5MiB allocated
Compiler

Compiled 985 to 206 computations (79.1% saved)

prune6.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1391140
Fresh000
Picked022
Done011
Total1394143
Accuracy
100.0%
Counts
143 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
48.4%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
53.1%
#s(approx (- (* x 2) y) (neg.f64 y))
2.3%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify8.0ms (0.2%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* x 2) y) y)
Iterations

Useful iterations: 0 (0.0ms)

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

localize28.0ms (0.7%)

Memory
-13.0MiB live, 37.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy62.51089343602013
#s(approx (- (* x 2) y) y)
Samples
23.0ms256×0valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 16.0ms (89.5% of total)
ival-sub: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.8MiB live, 3.8MiB 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))

simplify158.0ms (4.2%)

Memory
-28.5MiB live, 83.4MiB allocated
Algorithm
egg-herbie
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
iter limit
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))

rewrite213.0ms (5.6%)

Memory
22.4MiB live, 257.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
067
1227
21607
315707
093626
Stop Event
iter limit
node limit
saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x 2) y) y)
Outputs
#<batchref>

eval2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Compiler

Compiled 131 to 10 computations (92.4% saved)

prune3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB 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)
48.4%
#s(approx (- (* x 2) y) (*.f64 #s(literal 2 binary64) x))
53.1%
#s(approx (- (* x 2) y) (neg.f64 y))
2.3%
#s(approx (- (* x 2) y) y)
Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes11.0ms (0.3%)

Memory
-16.3MiB live, 21.2MiB 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:

4.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
(*.f64 x #s(literal 2 binary64))
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)

regimes8.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB 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
y
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
74.5%3x
79.7%3y
60.2%4(-.f64 (*.f64 x #s(literal 2 binary64)) y)
74.5%3(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.2%)

Memory
-21.1MiB live, 16.7MiB 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:

3.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
53.1%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
53.1%1x
53.1%1(*.f64 x #s(literal 2 binary64))
53.1%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB 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
y
1.0ms
x
Results
AccuracySegmentsBranch
2.3%1y
2.3%1x
2.3%1(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.3%1(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch51.0ms (1.4%)

Memory
3.2MiB live, 51.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
3.7322223563768954e-64
5.2760614994866376e-61
8.0ms
-0.8768726661274525
-0.03350402743585715
Samples
32.0ms240×0valid
Compiler

Compiled 113 to 175 computations (-54.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 26.0ms (94.4% of total)
ival-sub: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify26.0ms (0.7%)

Memory
-19.2MiB live, 56.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01853
12453
22753
32853
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(if (<=.f64 y #s(literal -3530822107858469/72057594037927936 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 3835612955986099/14474011154664524427946373126085988481658748083205070504932198000989141204992 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 -3530822107858469/72057594037927936 binary64)) #s(approx (- (* x 2) y) (neg.f64 y)) (if (<=.f64 y #s(literal 3835612955986099/14474011154664524427946373126085988481658748083205070504932198000989141204992 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)

soundness632.0ms (16.7%)

Memory
4.2MiB live, 196.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025141
168141
2170141
3436141
4958141
51948141
63052141
74443141
84919141
95131141
105185141
115944141
126883141
137325141
147907141
08235141
0922
01122
13022
217822
3177320
0943318
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 40 to 32 computations (20% saved)

preprocess52.0ms (1.4%)

Memory
21.4MiB live, 101.0MiB 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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