Data.Colour.CIE:cieLABView from colour-2.3.3, B

Time bar (total: 2.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample509.0ms (20.3%)

Memory
39.2MiB live, 738.3MiB allocated
Samples
302.0ms8 229×0valid
1.0ms3valid
1.0ms12×1valid
1.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 71.0ms (49.2% of total)
ival-sub: 59.0ms (40.9% of total)
ival-true: 6.0ms (4.2% of total)
exact: 4.0ms (2.8% of total)
ival-assert: 3.0ms (2.1% of total)
adjust: 1.0ms (0.7% of total)
Bogosity

explain62.0ms (2.5%)

Memory
-6.5MiB live, 80.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 #s(literal 500 binary64) (-.f64 x y))
00-0-#s(literal 500 binary64)
00-0-(-.f64 x 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
18.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (42% of total)
ival-mult: 3.0ms (42% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess32.0ms (1.3%)

Memory
-8.9MiB live, 65.6MiB allocated
Algorithm
egg-herbie
Rules
240×lower-fma.f64
240×lower-fma.f32
144×lower-*.f32
142×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13825
210725
329825
439725
542425
643325
055
075
1105
2215
3395
4615
5865
61425
72115
82885
93305
103625
03625
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify15.0ms (0.6%)

Memory
-6.3MiB live, 31.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Rules
240×lower-fma.f64
240×lower-fma.f32
144×lower-*.f32
142×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
22111
33911
46111
58611
614211
721111
828811
933011
1036211
036211
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
#s(literal 500 binary64)
(-.f64 x y)
x
y
Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
#s(literal 500 binary64)
(-.f64 x y)
x
y

localize20.0ms (0.8%)

Memory
-1.6MiB live, 39.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0.00390625
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Samples
16.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.4% of total)
ival-sub: 1.0ms (30.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())
Outputs
#s(alt (* 500 x) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 500 x) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation:binary64>) () ())) ())
Calls

6 calls:

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

simplify271.0ms (10.8%)

Memory
16.4MiB live, 360.4MiB allocated
Algorithm
egg-herbie
Rules
26 396×lower-fma.f64
26 396×lower-fma.f32
3 260×lower-+.f64
3 260×lower-+.f32
2 160×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040207
1118207
2316207
3849171
41746171
52886171
63982171
74668171
85018171
95127171
105826171
117614171
08080171
Stop Event
iter limit
node limit
Counts
48 → 45
Calls
Call 1
Inputs
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -1 y)
(- x y)
(- x y)
(- x y)
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 y x) #s(literal -500 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite219.0ms (8.7%)

Memory
-12.1MiB live, 204.9MiB allocated
Rules
5 754×lower-fma.f64
5 754×lower-fma.f32
3 256×lower-*.f32
3 254×lower-*.f64
3 212×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1238
21548
315018
094568
Stop Event
iter limit
node limit
iter limit
Counts
2 → 253
Calls
Call 1
Inputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 500 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y x))) (fma.f64 y x (hypot.f64 y x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 500 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (neg.f64 (fma.f64 y x (hypot.f64 y x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (hypot.f64 y x) #s(literal 500 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)))
(*.f64 (/.f64 (*.f64 (hypot.f64 y x) #s(literal 500 binary64)) (hypot.f64 y x)) (-.f64 x y))
(*.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (*.f64 x x)) (*.f64 #s(literal 250000 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal 500 binary64) y))))
(*.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -125000000 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 250000 binary64) (*.f64 x x) (-.f64 (*.f64 #s(literal 250000 binary64) (*.f64 y y)) (*.f64 (*.f64 x #s(literal 500 binary64)) (*.f64 #s(literal -500 binary64) y))))))
(*.f64 (*.f64 #s(literal -500 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (*.f64 #s(literal -500 binary64) (hypot.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y x (hypot.f64 y x))))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (hypot.f64 y x) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 (neg.f64 y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y x (hypot.f64 y x)))
(neg.f64 (-.f64 y x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y x))) (fma.f64 y x (hypot.f64 y x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (neg.f64 (fma.f64 y x (hypot.f64 y x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (hypot.f64 y x)) (-.f64 x y) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (hypot.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (hypot.f64 y x)))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (hypot.f64 (hypot.f64 y x) (*.f64 y x))) (/.f64 (*.f64 (fma.f64 y x (hypot.f64 y x)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (hypot.f64 y x) (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 y x (hypot.f64 y x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (hypot.f64 y x)) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (hypot.f64 (hypot.f64 y x) (*.f64 y x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y x (hypot.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 y x (hypot.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 x y) (hypot.f64 (hypot.f64 y x) (*.f64 y x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 x y) (hypot.f64 (hypot.f64 y x) (*.f64 y x)))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x (hypot.f64 y x)))) (-.f64 y x))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(-.f64 x (neg.f64 y))
(-.f64 x y)
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x y))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y x (hypot.f64 y x))))
(+.f64 (neg.f64 y) x)
(+.f64 y x)
(+.f64 x (neg.f64 y))
(+.f64 x y)

eval40.0ms (1.6%)

Memory
-10.3MiB live, 73.6MiB allocated
Compiler

Compiled 6 332 to 839 computations (86.7% saved)

prune5.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2953298
Fresh000
Picked011
Done000
Total2954299
Accuracy
100.0%
Counts
299 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
49.5%
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
51.7%
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify16.0ms (0.6%)

Memory
-25.0MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 500 binary64))
cost-diff192
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
cost-diff0
(*.f64 y #s(literal -500 binary64))
cost-diff0
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
cost-diff0
(*.f64 x #s(literal 500 binary64))
cost-diff0
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Rules
240×lower-fma.f32
238×lower-fma.f64
144×lower-*.f32
140×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01141
01441
12041
22940
34340
46340
58840
614440
721340
829040
933240
1036240
036240
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
(*.f64 y #s(literal -500 binary64))
y
#s(literal -500 binary64)
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
y
#s(literal -500 binary64)
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)
Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y))
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal -500 binary64) y)
y
#s(literal -500 binary64)
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
y
#s(literal -500 binary64)
(*.f64 x #s(literal 500 binary64))
x
#s(literal 500 binary64)

localize24.0ms (0.9%)

Memory
7.6MiB live, 45.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 500 binary64))
accuracy0.00390625
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
accuracy0
(*.f64 y #s(literal -500 binary64))
accuracy32.3018374415276
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
accuracy0
(*.f64 x #s(literal 500 binary64))
accuracy30.93341504719849
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Samples
17.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50% of total)
ival-sub: 1.0ms (12.5% of total)
ival-add: 1.0ms (12.5% of total)
ival-assert: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 x #s(literal 500 binary64)) (patch (*.f64 x #s(literal 500 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 y #s(literal -500 binary64)) (patch (*.f64 y #s(literal -500 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())
Outputs
#s(alt (* 500 x) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 500 x) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -500 binary64)) (patch (*.f64 y #s(literal -500 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -500 binary64)) (patch (*.f64 y #s(literal -500 binary64)) #<representation:binary64>) () ())) ())
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#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64))) #<representation:binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* y -500) (* x 500)))
1.0ms
y
@-inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* y -500) (* x 500)))
1.0ms
x
@-inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* y -500) (* x 500)))
0.0ms
y
@0
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* y -500) (* x 500)))
0.0ms
x
@inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* y -500) (* x 500)))

simplify176.0ms (7%)

Memory
5.1MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Rules
3 814×lower-*.f64
3 814×lower-*.f32
3 734×lower-fma.f64
3 734×lower-fma.f32
2 184×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024504
164504
2169504
3357450
4704396
52126396
63860396
75096396
85712396
96117396
106501396
116901396
127957396
08074396
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* 500 x)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* y (- (* 500 (/ x y)) 500))
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -500 y)
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* -500 y)
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(+ (* -500 y) (* 500 x))
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* 500 x)
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* x (+ 500 (* -500 (/ y x))))
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* 500 x)
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(* -1 (* x (- (* 500 (/ y x)) 500)))
Outputs
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* y (- (* 500 (/ x y)) 500))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* y (+ 500 (* -500 (/ x y)))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -500 y)
(*.f64 y #s(literal -500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(+ (* -500 y) (* 500 x))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* x (+ 500 (* -500 (/ y x))))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* 500 x)
(*.f64 x #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(* -1 (* x (- (* 500 (/ y x)) 500)))
(*.f64 (-.f64 x y) #s(literal 500 binary64))

rewrite274.0ms (10.9%)

Memory
7.3MiB live, 238.4MiB allocated
Rules
5 502×lower-fma.f32
5 500×lower-fma.f64
4 514×lower-*.f32
4 510×lower-*.f64
4 150×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
01430
14530
232529
3327429
0909329
Stop Event
iter limit
node limit
iter limit
Counts
5 → 187
Calls
Call 1
Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
(*.f64 x #s(literal 500 binary64))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
(*.f64 y #s(literal -500 binary64))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 500 binary64))))
(*.f64 x #s(literal 500 binary64))
(*.f64 #s(literal 500 binary64) x)
(pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 500 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 500 binary64))))
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal -500 binary64))) y)
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 500 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal 500 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64)))
(*.f64 (neg.f64 y) #s(literal 500 binary64))
(*.f64 #s(literal -500 binary64) y)
(*.f64 y (exp.f64 (log.f64 #s(literal -500 binary64))))
(*.f64 y #s(literal -500 binary64))
(*.f64 #s(literal 500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 500 binary64) (neg.f64 y))
(pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 y #s(literal 500 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -500 binary64) y)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -500 binary64) (+.f64 y x)) (-.f64 (*.f64 #s(literal 62500000000 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 62500000000 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -500 binary64) (+.f64 y x)) (fma.f64 #s(literal 15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -15625000000000000 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) (fma.f64 #s(literal 15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -15625000000000000 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -125000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) (fma.f64 #s(literal 1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 #s(literal 15625000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -250000 binary64) x) y) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 500 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 500 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 500 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (hypot.f64 y x) (*.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 500 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -125000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 250000 binary64) (hypot.f64 y x) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)))
(*.f64 (/.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 62500000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 (*.f64 #s(literal 250000 binary64) x) (*.f64 y #s(literal -250000 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)))
(*.f64 (/.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (-.f64 (*.f64 #s(literal 250000 binary64) x) (*.f64 y #s(literal -250000 binary64)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 250000 binary64) x) (*.f64 y #s(literal -250000 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 250000 binary64) x) (*.f64 y #s(literal -250000 binary64)))) (pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 (-.f64 x y) #s(literal 500 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 500 binary64)) (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 500 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 250000 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal 500 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/500 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/500 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) #s(literal -1 binary64)) (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 500 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x)))) (pow.f64 (neg.f64 (*.f64 #s(literal -500 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 500 binary64) (+.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 500 binary64)))
(*.f64 (*.f64 #s(literal 250000 binary64) (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 #s(literal -1/500 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 500 binary64) (fma.f64 y x (hypot.f64 y x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y x (hypot.f64 y x)) #s(literal -1 binary64)) #s(literal 500 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) (/.f64 (*.f64 (-.f64 x y) #s(literal 500 binary64)) (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y))))
(*.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) (*.f64 (*.f64 (-.f64 x y) #s(literal 500 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) #s(literal 500 binary64)) (/.f64 (*.f64 #s(literal -500 binary64) (+.f64 y x)) (*.f64 #s(literal -500 binary64) (+.f64 y x))))
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(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -125000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y))) (/.f64 (/.f64 (*.f64 #s(literal 15625000000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -125000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 250000 binary64) (hypot.f64 y x)) (*.f64 (*.f64 #s(literal -250000 binary64) x) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal 500 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 2 binary64)) (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal 500 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (/.f64 (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 500 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -500 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 500 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(+.f64 (*.f64 #s(literal -500 binary64) y) (*.f64 x #s(literal 500 binary64)))
(+.f64 (*.f64 x #s(literal 500 binary64)) (*.f64 #s(literal -500 binary64) y))

eval165.0ms (6.6%)

Memory
-31.3MiB live, 97.1MiB allocated
Compiler

Compiled 5 063 to 560 computations (88.9% saved)

prune9.0ms (0.3%)

Memory
26.6MiB live, 26.6MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3020302
Fresh000
Picked033
Done011
Total3024306
Accuracy
100.0%
Counts
306 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
49.5%
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
51.7%
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes11.0ms (0.4%)

Memory
-9.8MiB live, 26.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Calls

4 calls:

4.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms
(-.f64 x y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 500 binary64) (-.f64 x y))
100.0%1(-.f64 x y)
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes7.0ms (0.3%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms
(-.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
78.7%3x
77.0%3y
57.6%3(*.f64 #s(literal 500 binary64) (-.f64 x y))
57.6%3(-.f64 x y)
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes8.0ms (0.3%)

Memory
-34.9MiB live, 14.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Outputs
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Calls

4 calls:

4.0ms
x
1.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
1.0ms
(-.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
51.7%1(*.f64 #s(literal 500 binary64) (-.f64 x y))
51.7%1(-.f64 x y)
51.7%1y
51.7%1x
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch18.0ms (0.7%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.0878166153334954e-33
5.546266136881824e-27
7.0ms
-6.879220728721722e-85
-4.5078154687247496e-86
Samples
8.0ms240×0valid
Compiler

Compiled 128 to 190 computations (-48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.3% of total)
ival-sub: 1.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify45.0ms (1.8%)

Memory
-15.7MiB live, 23.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
12349
22849
33049
43149
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (if (<=.f64 x #s(literal 8920298079412249/2787593149816327892691964784081045188247552 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(if (<=.f64 x #s(literal -46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (if (<=.f64 x #s(literal 8920298079412249/2787593149816327892691964784081045188247552 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))))
(if (<=.f64 x #s(literal -46479077901639/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) (if (<=.f64 x #s(literal 8920298079412249/2787593149816327892691964784081045188247552 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))

soundness546.0ms (21.8%)

Memory
11.9MiB live, 162.9MiB allocated
Rules
26 396×lower-fma.f64
26 396×lower-fma.f32
3 260×lower-+.f64
3 260×lower-+.f32
2 160×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040207
1118207
2316207
3849171
41746171
52886171
63982171
74668171
85018171
95127171
105826171
117614171
08080171
Stop Event
done
iter limit
node limit
Compiler

Compiled 38 to 28 computations (26.3% saved)

preprocess26.0ms (1%)

Memory
-10.8MiB live, 65.0MiB allocated
Compiler

Compiled 68 to 42 computations (38.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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