Data.Colour.CIE:cieLAB from colour-2.3.3, C

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

sample687.0ms (21%)

Memory
31.2MiB live, 773.6MiB allocated
Samples
375.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-div: 100.0ms (53% of total)
ival-add: 75.0ms (39.8% of total)
ival-true: 6.0ms (3.2% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain157.0ms (4.8%)

Memory
-24.7MiB live, 62.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x (/.f64 y #s(literal 500 binary64)))
00-0-#s(literal 500 binary64)
00-0-(/.f64 y #s(literal 500 binary64))
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
20.0ms512×0valid
Compiler

Compiled 53 to 32 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51% of total)
ival-add: 2.0ms (25.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess20.0ms (0.6%)

Memory
-14.3MiB live, 23.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13225
27425
317625
424525
529425
630125
055
075
185
085
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1811
0811
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize14.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy0.01171875
(+.f64 x (/.f64 y #s(literal 500 binary64)))
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 (53.6% of total)
ival-add: 1.0ms (26.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (1%)

Memory
-33.4MiB live, 3.4MiB allocated
Counts
2 → 7
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
y
@-inf
((+ x (/ y 500)) (/ y 500))
1.0ms
y
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@0
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@0
((+ x (/ y 500)) (/ y 500))

simplify183.0ms (5.6%)

Memory
1.6MiB live, 120.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
339529
4111029
5249129
6338929
7426129
8473729
9491229
10500229
11570029
12601629
13601629
14601629
15601629
0866024
Stop Event
iter limit
node limit
Counts
7 → 6
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite272.0ms (8.3%)

Memory
-5.2MiB live, 202.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1318
22358
337068
082957
Stop Event
iter limit
node limit
iter limit
Counts
2 → 154
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/250000 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 2 binary64))))) (fma.f64 x x (*.f64 (*.f64 #s(literal -1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 #s(literal 1/500 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (pow.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (/.f64 (fma.f64 #s(literal 1/500 binary64) y x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (*.f64 (fma.f64 #s(literal 1/500 binary64) y x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/500 binary64) y x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (fma.f64 #s(literal -1/500 binary64) y x)))
(*.f64 (fma.f64 #s(literal 1/500 binary64) y x) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1/500 binary64) y x))) (*.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (fma.f64 #s(literal -1/500 binary64) y x))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/500 binary64) y x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/500 binary64) y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/1953125000000000000000000 binary64) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 (fma.f64 #s(literal -1/500 binary64) y x) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal 2 binary64))))
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(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval16.0ms (0.5%)

Memory
28.3MiB live, 28.3MiB allocated
Compiler

Compiled 2 767 to 435 computations (84.3% saved)

prune3.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1533156
Fresh000
Picked011
Done000
Total1534157
Accuracy
100.0%
Counts
157 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
52.3%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
52.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify29.0ms (0.9%)

Memory
-41.7MiB live, 2.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
cost-diff0
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
cost-diff0
(*.f64 #s(literal 1/500 binary64) y)
cost-diff0
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
02656
13556
23856
03856
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(*.f64 y y)
y
#s(literal -1/250000 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -1/500 binary64) y x)
#s(literal -1/500 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))
(*.f64 y y)
y
#s(literal -1/250000 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -1/500 binary64) y x)
#s(literal -1/500 binary64)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal 1/500 binary64) y x)
y
#s(literal 1/500 binary64)
x

localize111.0ms (3.4%)

Memory
11.0MiB live, 48.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy0
(*.f64 x x)
accuracy0.07421875
(fma.f64 #s(literal -1/500 binary64) y x)
accuracy3.0636920609628513
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
accuracy30.019602062056222
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
accuracy0.14453125
(*.f64 #s(literal 1/500 binary64) y)
accuracy30.403525234494595
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Samples
38.0ms256×0valid
Compiler

Compiled 115 to 36 computations (68.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.2% of total)
const: 9.0ms (33.2% of total)
ival-add: 5.0ms (18.5% of total)
ival-div: 4.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
8 → 19
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) y x)
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* -1/250000 (pow y 2))
(+ (* -1/250000 (pow y 2)) (pow x 2))
(pow x 2)
(* -1/500 y)
(+ x (* -1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (+ 1 (* -1/250000 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (* -1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* 1/500 (/ y x)) 1)))
(pow y 2)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/250000))
(* y (- (/ x y) 1/500))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ x (/ y 500)) (* 1/500 y) (/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* y y) (* x x) (+ (* y 1/500) x) (+ (* -1/500 y) x))
1.0ms
y
@inf
((+ x (/ y 500)) (* 1/500 y) (/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* y y) (* x x) (+ (* y 1/500) x) (+ (* -1/500 y) x))
1.0ms
x
@0
((+ x (/ y 500)) (* 1/500 y) (/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* y y) (* x x) (+ (* y 1/500) x) (+ (* -1/500 y) x))
1.0ms
y
@-inf
((+ x (/ y 500)) (* 1/500 y) (/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* y y) (* x x) (+ (* y 1/500) x) (+ (* -1/500 y) x))
1.0ms
x
@inf
((+ x (/ y 500)) (* 1/500 y) (/ (+ (* (* y y) -1/250000) (* x x)) (+ (* -1/500 y) x)) (+ (* (* y y) -1/250000) (* x x)) (* y y) (* x x) (+ (* y 1/500) x) (+ (* -1/500 y) x))

simplify133.0ms (4.1%)

Memory
16.7MiB live, 91.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04995
113195
233895
398595
4257095
5567595
6789895
0802182
Stop Event
iter limit
node limit
Counts
19 → 18
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* -1/250000 (pow y 2))
(+ (* -1/250000 (pow y 2)) (pow x 2))
(pow x 2)
(* -1/500 y)
(+ x (* -1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (+ 1 (* -1/250000 (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (* -1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* 1/500 (/ y x)) 1)))
(pow y 2)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/250000))
(* y (- (/ x y) 1/500))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/250000 binary64))
(+ (* -1/250000 (pow y 2)) (pow x 2))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -1/500 y)
(*.f64 #s(literal -1/500 binary64) y)
(+ x (* -1/500 y))
(fma.f64 #s(literal -1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow x 2) (+ 1 (* -1/250000 (/ (pow y 2) (pow x 2)))))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(* x (+ 1 (* -1/500 (/ y x))))
(fma.f64 #s(literal -1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* 1/500 (/ y x)) 1)))
(fma.f64 #s(literal -1/500 binary64) y x)
(pow y 2)
(*.f64 y y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1/250000))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(* y (- (/ x y) 1/500))
(fma.f64 #s(literal -1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (+ 1/500 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/500 binary64) y x)

rewrite259.0ms (7.9%)

Memory
-29.9MiB live, 134.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01647
02655
19955
275237
0910137
Stop Event
iter limit
node limit
iter limit
Counts
8 → 722
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
(*.f64 y y)
(*.f64 x x)
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) y x)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 500 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) (-.f64 (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (/.f64 #s(literal -500 binary64) y)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/500 binary64) y x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (*.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/250000 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (-.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/500 binary64) y x)) (fma.f64 #s(literal 1/244140625000000000000000000000000 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/500 binary64) y x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/15625000000000000 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 1/62500000000 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/500 binary64) y x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/250000 binary64) (*.f64 y y) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/500 binary64) y x)))
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(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) x)
(fma.f64 #s(literal -1/500 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/500 binary64) y x)
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) (neg.f64 y) x)
(fma.f64 y #s(literal -1/500 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal -1/500 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (fma.f64 #s(literal 1/500 binary64) y x)))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(-.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)) (fma.f64 #s(literal 1/500 binary64) y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/500 binary64) y) x))))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/500 binary64) y) x)
(+.f64 x (*.f64 #s(literal -1/500 binary64) y))

eval153.0ms (4.7%)

Memory
30.2MiB live, 71.3MiB allocated
Compiler

Compiled 12 990 to 1 298 computations (90% saved)

prune169.0ms (5.1%)

Memory
-11.1MiB live, 27.2MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5041505
Fresh000
Picked033
Done101
Total5054509
Accuracy
100.0%
Counts
509 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
52.3%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
52.5%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
52.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0814
1914
0914
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
Outputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize31.0ms (0.9%)

Memory
-13.8MiB live, 24.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y #s(literal 500 binary64))
accuracy30.403525234494595
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Samples
26.0ms256×0valid
Compiler

Compiled 26 to 15 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (55.7% of total)
ival-add: 1.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
2 → 7
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Calls

6 calls:

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

simplify206.0ms (6.3%)

Memory
12.0MiB live, 100.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
339529
4111029
5249129
6338929
7426129
8473729
9491229
10500229
11570029
12601629
13601629
14601629
15601629
0866024
Stop Event
iter limit
node limit
Counts
7 → 6
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite130.0ms (4%)

Memory
4.4MiB live, 118.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
0812
13212
223612
3370712
0829611
Stop Event
iter limit
node limit
iter limit
Counts
2 → 41
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/500 binary64))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 y #s(literal 1/500 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 500 binary64) y)))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -500 binary64) y))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/500 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/500 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))

eval4.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Compiler

Compiled 505 to 134 computations (73.5% saved)

prune36.0ms (1.1%)

Memory
-23.0MiB live, 21.2MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done033
Total42446
Accuracy
100.0%
Counts
46 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
52.3%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
52.5%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
52.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes10.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
100.0%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes28.0ms (0.9%)

Memory
-24.6MiB live, 11.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Outputs
(fma.f64 y #s(literal 1/500 binary64) x)
Calls

4 calls:

22.0ms
y
2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
52.4%1x
52.4%1y
52.4%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
52.4%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify58.0ms (1.8%)

Memory
-7.1MiB live, 30.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11318
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness481.0ms (14.7%)

Memory
28.1MiB live, 190.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
339529
4111029
5249129
6338929
7426129
8473729
9491229
10500229
11570029
12601629
13601629
14601629
15601629
0866024
058
078
1318
22358
337068
082957
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess36.0ms (1.1%)

Memory
-10.2MiB live, 27.4MiB allocated
Compiler

Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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