Data.Colour.RGB:hslsv from colour-2.3.3, A

Time bar (total: 2.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample652.0ms (26.3%)

Memory
37.7MiB live, 698.6MiB allocated
Samples
427.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-div: 139.0ms (58.4% of total)
ival-add: 85.0ms (35.7% of total)
ival-true: 5.0ms (2.1% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain55.0ms (2.2%)

Memory
-8.2MiB live, 67.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (+.f64 x y) #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 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
25.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (40.2% of total)
ival-add: 3.0ms (40.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.8%)

Memory
-24.0MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13329
26029
37429
48529
59029
055
075
1135
2165
0165
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (+.f64 y x) #s(literal 2 binary64))
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11311
21611
01611
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)
x
y
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(/.f64 (+.f64 y x) #s(literal 2 binary64))
(+.f64 x y)
(+.f64 y x)
x
y
#s(literal 2 binary64)

localize13.0ms (0.5%)

Memory
22.6MiB live, 22.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (+.f64 x y) #s(literal 2 binary64))
accuracy0.0
(+.f64 x y)
Samples
9.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (56.5% of total)
ival-add: 1.0ms (28.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
6.7MiB live, 6.6MiB allocated
Counts
2 → 14
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)
Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify162.0ms (6.6%)

Memory
-21.9MiB live, 85.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03848
111348
225048
368748
4185948
5323848
6468648
7576748
8703948
0845948
Stop Event
iter limit
node limit
Counts
14 → 12
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
y
(+ x y)
(+.f64 y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite292.0ms (11.8%)

Memory
26.6MiB live, 269.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1308
21738
316488
089938
Stop Event
iter limit
node limit
iter limit
Counts
2 → 401
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) #s(literal 2 binary64))
(+.f64 x y)
Outputs
(*.f64 (/.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (+.f64 y x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -2 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal -2 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 y x) y) #s(literal 4 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 y (neg.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 y)) x) #s(literal 2 binary64))
(/.f64 (+.f64 x (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 x)) y) #s(literal 2 binary64))
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(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 y x)))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 y x)
(+.f64 x y)

eval81.0ms (3.3%)

Memory
-47.2MiB live, 97.9MiB allocated
Compiler

Compiled 12 704 to 1 281 computations (89.9% saved)

prune6.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4023405
Fresh000
Picked101
Done000
Total4033406
Accuracy
100.0%
Counts
406 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
54.5%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
47.2%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify8.0ms (0.3%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01350
01750
12650
23150
34350
46050
58450
69650
712650
815350
917450
1019450
019450
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)

localize37.0ms (1.5%)

Memory
-15.3MiB live, 58.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy0.0
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) y)
accuracy29.14456185132539
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy33.771312454957034
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Samples
28.0ms256×0valid
Compiler

Compiled 88 to 25 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.9% of total)
ival-add: 3.0ms (32.9% of total)
ival-div: 2.0ms (21.9% 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
9.3MiB live, 9.3MiB allocated
Counts
7 → 14
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
1.0ms
x
@inf
((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms
y
@inf
((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms
y
@-inf
((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))
0.0ms
x
@0
((/ (+ x y) 2) (* 1/2 x) (/ (+ x y) 2) (* 1/2 y) (/ (+ x y) 2) (* (+ y x) 1/2) (+ y x))

simplify161.0ms (6.5%)

Memory
-5.0MiB live, 116.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03848
111348
225048
368948
4185348
5322348
6467348
7577148
8704748
0846648
Stop Event
iter limit
node limit
Counts
14 → 12
Calls
Call 1
Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
y
(+ x y)
(* x (+ 1/2 (* 1/2 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
y
(+ x y)
(+.f64 y x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1/2 (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite246.0ms (9.9%)

Memory
16.0MiB live, 235.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
01743
15243
228543
3294243
0918343
Stop Event
iter limit
node limit
iter limit
Counts
7 → 234
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 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 1/2 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) x) (-.f64 (*.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (/.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)))) (-.f64 y x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) #s(literal 1/2 binary64)) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
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(-.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 (-.f64 y x) y (*.f64 x 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 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 y x)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) y) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 y x)
(+.f64 x y)

eval91.0ms (3.7%)

Memory
-13.6MiB live, 81.2MiB allocated
Compiler

Compiled 8 042 to 1 008 computations (87.5% saved)

prune5.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2370237
Fresh000
Picked033
Done000
Total2373240
Accuracy
100.0%
Counts
240 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
54.5%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
47.2%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes10.0ms (0.4%)

Memory
-15.8MiB live, 21.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
Calls

4 calls:

4.0ms
y
2.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms
(+.f64 x y)
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) #s(literal 2 binary64))
100.0%1(+.f64 x y)
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes6.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
Calls

4 calls:

1.0ms
y
1.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms
(+.f64 x y)
1.0ms
x
Results
AccuracySegmentsBranch
85.0%2x
83.0%2y
98.6%2(/.f64 (+.f64 x y) #s(literal 2 binary64))
98.6%2(+.f64 x y)
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes7.0ms (0.3%)

Memory
-22.6MiB live, 15.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Calls

4 calls:

3.0ms
y
1.0ms
x
1.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
47.2%1y
47.2%1x
47.2%1(/.f64 (+.f64 x y) #s(literal 2 binary64))
47.2%1(+.f64 x y)
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.5009750477010437e-195
9.856430259489766e-284
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify59.0ms (2.4%)

Memory
-12.4MiB live, 43.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
12344
22644
32944
43644
55844
621444
7188444
8356444
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2630067950774187/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (/ (+ x y) 2) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2630067950774187/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344 binary64)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))

soundness538.0ms (21.7%)

Memory
3.4MiB live, 203.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03848
111348
225048
368748
4185948
5323848
6468648
7576748
8703948
0845948
Stop Event
done
iter limit
node limit
Compiler

Compiled 58 to 34 computations (41.4% saved)

preprocess20.0ms (0.8%)

Memory
26.7MiB live, 26.7MiB allocated
Remove

(sort x y)

Compiler

Compiled 120 to 62 computations (48.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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