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

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

sample938.0ms (31.3%)

Memory
-12.7MiB live, 1 014.2MiB allocated
Samples
621.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-div: 122.0ms (55.1% of total)
ival-add: 83.0ms (37.5% of total)
ival-true: 7.0ms (3.2% of total)
exact: 6.0ms (2.7% of total)
ival-assert: 4.0ms (1.8% of total)
Bogosity

explain231.0ms (7.7%)

Memory
-7.7MiB live, 128.0MiB 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
83.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.4% of total)
ival-add: 3.0ms (37.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess78.0ms (2.6%)

Memory
-37.8MiB live, 21.6MiB 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
0.7MiB live, 0.7MiB 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)

simplify4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB 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)

localize14.0ms (0.5%)

Memory
20.2MiB live, 20.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (+.f64 x y) #s(literal 2 binary64))
accuracy0.0
(+.f64 x y)
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (50.7% of total)
ival-add: 2.0ms (50.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB 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))

simplify219.0ms (7.3%)

Memory
5.3MiB live, 129.3MiB 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)

rewrite230.0ms (7.7%)

Memory
-11.7MiB live, 338.3MiB 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)

eval91.0ms (3%)

Memory
-12.8MiB live, 131.9MiB allocated
Compiler

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

prune6.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB 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)))
50.6%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
50.6%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify37.0ms (1.2%)

Memory
-33.0MiB live, 14.4MiB 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)

localize30.0ms (1%)

Memory
34.7MiB live, 78.2MiB 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)
accuracy31.61806696026483
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy31.614944932306948
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Samples
23.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (37.7% of total)
ival-mult: 5.0ms (37.7% of total)
ival-add: 3.0ms (22.6% 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
12.4MiB live, 12.3MiB 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
x
@0
((/ (+ 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))

simplify200.0ms (6.7%)

Memory
-23.0MiB live, 157.6MiB 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)

rewrite224.0ms (7.5%)

Memory
19.4MiB live, 318.2MiB 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)

eval70.0ms (2.3%)

Memory
6.9MiB live, 97.4MiB allocated
Compiler

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

prune9.0ms (0.3%)

Memory
-35.3MiB live, 19.3MiB 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)))
50.6%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) y))
50.6%
#s(approx (/ (+ x y) 2) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes8.0ms (0.3%)

Memory
24.7MiB live, 24.7MiB 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:

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

Compiled 10 to 12 computations (-20% saved)

regimes8.0ms (0.3%)

Memory
-26.7MiB live, 18.8MiB 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:

4.0ms
x
1.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms
y
1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
97.6%2(+.f64 x y)
97.6%2(/.f64 (+.f64 x y) #s(literal 2 binary64))
84.8%2x
83.3%2y
Compiler

Compiled 10 to 12 computations (-20% saved)

regimes4.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB 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:

1.0ms
(/.f64 (+.f64 x y) #s(literal 2 binary64))
1.0ms
x
1.0ms
(+.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
50.6%1y
50.6%1x
50.6%1(+.f64 x y)
50.6%1(/.f64 (+.f64 x y) #s(literal 2 binary64))
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.427364666058955e-259
9.478593204320867e-298
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify44.0ms (1.5%)

Memory
12.2MiB live, 101.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
12446
22746
33046
43746
55946
621546
7185746
8350646
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 (+.f64 x y) #s(literal 2 binary64)) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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 (+.f64 x y) #s(literal 2 binary64)) #s(literal -432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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))

soundness477.0ms (15.9%)

Memory
-26.8MiB live, 166.3MiB 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 60 to 36 computations (40% saved)

preprocess70.0ms (2.3%)

Memory
9.5MiB live, 61.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 124 to 66 computations (46.8% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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