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

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample777.0ms (23.7%)

Memory
31.8MiB live, 694.5MiB allocated
Samples
555.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 262.0ms
ival-div: 210.0ms (80.2% of total)
ival-add: 37.0ms (14.1% of total)
ival-true: 7.0ms (2.7% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain51.0ms (1.5%)

Memory
-6.2MiB live, 82.3MiB 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
21.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 6.0ms (63.2% of total)
ival-add: 2.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess97.0ms (3%)

Memory
-24.5MiB live, 13.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
13225
27425
318025
425725
530325
631225
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, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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
2.9MiB live, 2.9MiB 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)

localize13.0ms (0.4%)

Memory
15.9MiB live, 15.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y #s(literal 500 binary64))
accuracy0.0078125
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Samples
9.0ms256×0valid
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 (55.4% of total)
ival-add: 1.0ms (27.7% 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
3.3MiB live, 3.3MiB 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
1.0ms
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))

simplify188.0ms (5.7%)

Memory
-0.1MiB live, 74.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
340429
4113229
5262029
6355329
7443329
8490929
9508429
10517429
11587229
12618829
13618829
14618829
15618829
0812524
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)

rewrite232.0ms (7.1%)

Memory
6.8MiB live, 159.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1318
22358
337208
083477
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))))))
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(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)))

eval50.0ms (1.5%)

Memory
-22.1MiB live, 36.1MiB allocated
Compiler

Compiled 2 767 to 435 computations (84.3% saved)

prune3.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB 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)
52.2%
(/.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)))
47.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB 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

localize58.0ms (1.8%)

Memory
-15.7MiB live, 23.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.06640625
(fma.f64 #s(literal -1/500 binary64) y x)
accuracy3.343731422471852
(fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))
accuracy30.27653483697696
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
accuracy0.171875
(*.f64 #s(literal 1/500 binary64) y)
accuracy33.587403093837146
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Samples
48.0ms256×0valid
Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.6% of total)
const: 9.0ms (33% of total)
ival-div: 4.0ms (14.7% of total)
ival-add: 4.0ms (14.7% 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
3.9MiB live, 3.9MiB 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
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
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))

simplify308.0ms (9.4%)

Memory
-20.3MiB live, 53.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04995
113195
233895
398995
4259295
5596295
0809182
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)

rewrite216.0ms (6.6%)

Memory
30.6MiB live, 149.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01647
02655
19955
275237
0923837
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 (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 (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 (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))))
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(fma.f64 (neg.f64 y) #s(literal 1/500 binary64) (neg.f64 (neg.f64 x)))
(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))

eval152.0ms (4.7%)

Memory
-12.4MiB live, 139.6MiB allocated
Compiler

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

prune57.0ms (1.7%)

Memory
-2.1MiB live, 37.6MiB 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)
52.2%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
47.5%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
47.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify4.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB 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)

localize58.0ms (1.8%)

Memory
-8.3MiB live, 41.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y #s(literal 500 binary64))
accuracy33.587403093837146
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
Samples
55.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (56.6% 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)

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

simplify198.0ms (6%)

Memory
-14.3MiB live, 62.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16429
214129
340429
4113229
5262029
6355329
7443329
8490929
9508429
10517429
11587229
12618829
13618829
14618829
15618829
0812524
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)

rewrite169.0ms (5.2%)

Memory
-5.1MiB live, 90.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
0812
13212
223612
3371912
0834011
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
4.6MiB live, 4.6MiB allocated
Compiler

Compiled 505 to 134 computations (73.5% saved)

prune3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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)
52.2%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/500 binary64) y x))
47.5%
#s(approx (+ x (/ y 500)) (/.f64 y #s(literal 500 binary64)))
47.4%
#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
10.2MiB live, 10.2MiB 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:

3.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
y
2.0ms
x
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)

regimes50.0ms (1.5%)

Memory
-26.0MiB live, 11.8MiB 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:

44.0ms
y
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
(/.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 (0.1%)

Memory
13.5MiB live, 13.5MiB 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 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
47.4%1x
47.4%1y
47.4%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
47.4%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify9.0ms (0.3%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11218
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)))
(fma.f64 y #s(literal 1/500 binary64) x)
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness523.0ms (16%)

Memory
-31.8MiB live, 164.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1318
22358
337208
083477
02329
16429
214129
340429
4113229
5262029
6355329
7443329
8490929
9508429
10517429
11587229
12618829
13618829
14618829
15618829
0812524
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 30 to 23 computations (23.3% saved)

preprocess20.0ms (0.6%)

Memory
35.4MiB live, 35.4MiB 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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