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

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample643.0ms (24.4%)

Memory
-89.4MiB live, 967.3MiB allocated
Samples
456.0ms8 231×0valid
1.0ms11×2valid
1.0ms5×3valid
1.0ms9×1valid
Precisions
Click to see histograms. Total time spent on operations: 288.0ms
ival-sub: 218.0ms (75.7% of total)
ival-mult: 56.0ms (19.5% of total)
ival-true: 6.0ms (2.1% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain42.0ms (1.6%)

Memory
12.1MiB live, 94.9MiB 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
19.0ms510×0valid
0.0ms2×2valid
Compiler

Compiled 33 to 19 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.9% of total)
ival-sub: 3.0ms (42.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess29.0ms (1.1%)

Memory
7.2MiB live, 45.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify17.0ms (0.6%)

Memory
-21.6MiB live, 17.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize12.0ms (0.5%)

Memory
21.2MiB live, 21.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0.015625
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Samples
9.0ms255×0valid
0.0ms1×2valid
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 (58.9% of total)
ival-sub: 1.0ms (29.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB 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
0.0ms
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))

simplify233.0ms (8.8%)

Memory
1.1MiB live, 279.3MiB allocated
Algorithm
1×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
1×iter limit
1×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)

rewrite221.0ms (8.4%)

Memory
-7.1MiB live, 221.5MiB 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
1×iter limit
1×node limit
1×iter limit
Counts
2 → 251
Calls
Call 1
Inputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(-.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 500 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 500 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (-.f64 y x) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 500 binary64)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal -500 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 x y))) (-.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) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -125000000 binary64) (*.f64 (*.f64 y y) y))) (/.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))))))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 y y (*.f64 x x))) (/.f64 (*.f64 (-.f64 x y) (*.f64 y y)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y y (*.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 y x) (-.f64 x y))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (-.f64 x y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (fma.f64 x x (*.f64 y x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (fma.f64 x x (*.f64 y x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 x y) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x 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 (-.f64 y x) y (*.f64 x 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 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 x (neg.f64 y))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #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 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 y x)
(+.f64 x (neg.f64 y))
(+.f64 x y)

eval44.0ms (1.7%)

Memory
1.0MiB live, 86.7MiB allocated
Compiler

Compiled 9 644 to 829 computations (91.4% saved)

prune41.0ms (1.6%)

Memory
17.8MiB live, 95.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2924296
Fresh000
Picked011
Done000
Total2925297
Accuracy
100.0%
Counts
297 → 5
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%
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
✓100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
▶49.4%
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
▶52.4%
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify15.0ms (0.6%)

Memory
-21.9MiB live, 20.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 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 #s(literal -500 binary64) y)
cost-diff192
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
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
236×lower-fma.f64
144×lower-*.f32
138×lower-*.f64
64×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01354
01854
12554
23452
34852
46952
59452
615052
721752
829552
933752
1036952
036952
Stop Event
1×iter limit
1×saturated
1×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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
x
#s(literal 500 binary64)
(*.f64 #s(literal -500 binary64) y)
#s(literal -500 binary64)
y
(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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
x
#s(literal 500 binary64)
(*.f64 #s(literal -500 binary64) y)
#s(literal -500 binary64)
y
(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)

localize32.0ms (1.2%)

Memory
-11.0MiB live, 64.0MiB allocated
Localize:

Found 8 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 #s(literal -500 binary64) y)
accuracy0.00390625
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
accuracy0
(*.f64 y #s(literal -500 binary64))
accuracy32.398732827004714
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
accuracy0
(*.f64 x #s(literal 500 binary64))
accuracy30.445531553670904
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Samples
21.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 50 to 13 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (63.7% of total)
ival-add: 2.0ms (18.2% of total)
ival-sub: 1.0ms (9.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
11.8MiB live, 11.9MiB allocated
Counts
7 → 132
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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<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>) () ())) ())
#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>) () ())) ())
#s(alt (* 500 x) (taylor 0 y) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<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 x #s(literal 500 binary64))) (patch #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#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 -inf x) (#s(alt (*.f64 x #s(literal 500 binary64)) (patch (*.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 500 binary64)) (patch (*.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 500 binary64)) (patch (*.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 500 binary64)) (patch (*.f64 x #s(literal 500 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 500 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>) () ())) ())
#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 (* -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 (* -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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y)) #<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) (+ (* x 500) (* -500 y)) (* -500 y) (+ (* y -500) (* x 500)))
1.0ms
y
@-inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* x 500) (* -500 y)) (* -500 y) (+ (* y -500) (* x 500)))
1.0ms
y
@0
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* x 500) (* -500 y)) (* -500 y) (+ (* y -500) (* x 500)))
0.0ms
x
@inf
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* x 500) (* -500 y)) (* -500 y) (+ (* y -500) (* x 500)))
0.0ms
x
@0
((* 500 (- x y)) (* x 500) (* 500 (- x y)) (* y -500) (+ (* x 500) (* -500 y)) (* -500 y) (+ (* y -500) (* x 500)))

simplify191.0ms (7.3%)

Memory
17.1MiB live, 175.4MiB allocated
Algorithm
1×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
024684
164684
2169684
3357612
4704540
52126540
63860540
75096540
85712540
96117540
106501540
116901540
127957540
08074540
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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)
(* -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)
(* -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 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 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)
(* 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)))
(* 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))
(* -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))
(* -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)
(*.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 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))
(* 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))
(* 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))

rewrite199.0ms (7.5%)

Memory
-14.4MiB live, 222.9MiB allocated
Rules
7 448×lower-fma.f32
7 444×lower-fma.f64
5 162×lower-*.f32
5 156×lower-*.f64
2 208×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01339
01839
16539
243037
3464837
0846837
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 295
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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(*.f64 #s(literal -500 binary64) y)
(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))
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(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64)))
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(fma.f64 #s(literal 250000 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64)) (*.f64 x #s(literal 500 binary64)))
(fma.f64 (neg.f64 y) #s(literal 500 binary64) (*.f64 x #s(literal 500 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 250000 binary64) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 250000 binary64) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 250000 binary64) x) x) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 250000 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 (*.f64 #s(literal -500 binary64) y) (/.f64 (*.f64 #s(literal -500 binary64) y) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 #s(literal -500 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal -500 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 #s(literal -500 binary64) y (*.f64 x #s(literal 500 binary64)))
(fma.f64 (*.f64 x #s(literal 500 binary64)) (/.f64 (*.f64 x #s(literal 500 binary64)) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(fma.f64 y (exp.f64 (log.f64 #s(literal -500 binary64))) (*.f64 x #s(literal 500 binary64)))
(fma.f64 y (/.f64 (*.f64 #s(literal 250000 binary64) y) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x)))))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
(fma.f64 x (exp.f64 (log.f64 #s(literal 500 binary64))) (*.f64 #s(literal -500 binary64) y))
(fma.f64 x (/.f64 (*.f64 #s(literal 250000 binary64) x) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(fma.f64 #s(literal 500 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 500 binary64)) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(fma.f64 #s(literal 500 binary64) (neg.f64 y) (*.f64 x #s(literal 500 binary64)))
(fma.f64 #s(literal 500 binary64) x (*.f64 #s(literal -500 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x))))
(-.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal 500 binary64) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) #s(literal 500 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.f64 #s(literal -500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal -500 binary64) (+.f64 y x)))))
(+.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 y y)) (*.f64 #s(literal 500 binary64) (+.f64 y x))) (neg.f64 (/.f64 (*.f64 #s(literal -250000 binary64) (*.f64 x x)) (*.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))

eval71.0ms (2.7%)

Memory
9.8MiB live, 80.2MiB allocated
Compiler

Compiled 9 446 to 423 computations (95.5% saved)

prune43.0ms (1.6%)

Memory
16.8MiB live, 53.3MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4460446
Fresh000
Picked044
Done011
Total4465451
Accuracy
100.0%
Counts
451 → 5
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%
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
✓100.0%
(*.f64 #s(literal 500 binary64) (-.f64 x y))
✓49.4%
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
✓52.4%
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
Compiler

Compiled 62 to 36 computations (41.9% saved)

regimes37.0ms (1.4%)

Memory
-30.7MiB live, 17.8MiB allocated
Counts
5 → 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 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(fma.f64 y #s(literal -500 binary64) (*.f64 x #s(literal 500 binary64)))
Outputs
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
Calls

4 calls:

29.0ms
x
3.0ms
(-.f64 x y)
2.0ms
y
2.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
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 18 to 12 computations (33.3% saved)

regimes8.0ms (0.3%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
3 → 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))
Outputs
(*.f64 #s(literal 500 binary64) (-.f64 x y))
Calls

4 calls:

2.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms
x
2.0ms
(-.f64 x y)
2.0ms
y
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 18 to 12 computations (33.3% saved)

regimes7.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB 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 y #s(literal -500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64)))
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))
Calls

4 calls:

2.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
2.0ms
x
2.0ms
(-.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
77.2%3x
79.7%3y
57.5%2(*.f64 #s(literal 500 binary64) (-.f64 x y))
57.5%2(-.f64 x y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes9.0ms (0.4%)

Memory
-23.9MiB live, 12.4MiB 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:

5.0ms
(*.f64 #s(literal 500 binary64) (-.f64 x y))
1.0ms
x
1.0ms
(-.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
52.4%1(*.f64 #s(literal 500 binary64) (-.f64 x y))
52.4%1(-.f64 x y)
52.4%1x
52.4%1y
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch23.0ms (0.9%)

Memory
3.1MiB live, 39.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.12197150745617341
1636.0355245284843
10.0ms
-1.7975561380741702e-85
-4.629560857243079e-93
Samples
9.0ms270×0valid
0.0ms2×1valid
Compiler

Compiled 248 to 180 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (53.6% of total)
ival-mult: 2.0ms (53.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02055
12555
23055
33255
43355
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (if (<=.f64 y #s(literal 1020 binary64)) #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)))
Outputs
(fma.f64 x #s(literal 500 binary64) (*.f64 #s(literal -500 binary64) y))
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64)))
(*.f64 #s(literal 500 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 500 binary64))
(if (<=.f64 y #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (if (<=.f64 y #s(literal 1020 binary64)) #s(approx (* 500 (- x y)) (*.f64 x #s(literal 500 binary64))) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64)))))
(if (<=.f64 y #s(literal -6124302029392433/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) (if (<=.f64 y #s(literal 1020 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) #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 #s(literal 500 binary64) x))

soundness669.0ms (25.4%)

Memory
-3.0MiB live, 242.0MiB allocated
Rules
26 396×lower-fma.f64
26 396×lower-fma.f32
5 754×lower-fma.f64
5 754×lower-fma.f32
3 260×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1238
21548
315018
094568
040207
1118207
2316207
3849171
41746171
52886171
63982171
74668171
85018171
95127171
105826171
117614171
08080171
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 65 to 35 computations (46.2% saved)

preprocess30.0ms (1.2%)

Memory
-5.8MiB live, 69.7MiB allocated
Compiler

Compiled 88 to 40 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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