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

Time bar (total: 3.1s)

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)

sample530.0ms (16.9%)

Memory
-7.4MiB live, 869.1MiB allocated
Samples
340.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-div: 73.0ms (53.7% of total)
ival-add: 51.0ms (37.5% of total)
ival-true: 5.0ms (3.7% of total)
exact: 4.0ms (2.9% of total)
ival-assert: 3.0ms (2.2% of total)
Bogosity

preprocess21.0ms (0.7%)

Memory
7.6MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Rules
44×sub-neg
40×distribute-lft-neg-in
34×cancel-sign-sub
26×*-commutative
24×associate--r+
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)))

explain59.0ms (1.9%)

Memory
30.8MiB live, 145.5MiB 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 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (54% of total)
ival-add: 2.0ms (27% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval2.0ms (0.1%)

Memory
-37.8MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB 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)))
Rules
lower-+.f32
lift-+.f64
lift-/.f64
lower-+.f64
lower-/.f32
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)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize20.0ms (0.6%)

Memory
0.3MiB live, 45.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y #s(literal 500 binary64))
accuracy100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Samples
14.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 7.0ms (82.5% of total)
ival-add: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (+.f64 x (/.f64 y #s(literal 500 binary64)))>
#<alt (/.f64 y #s(literal 500 binary64))>
Outputs
#<alt (* 1/500 y)>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (* 1/500 y)>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* 1/500 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
Calls

9 calls:

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

rewrite528.0ms (16.8%)

Memory
4.6MiB live, 445.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 588×lower-/.f32
3 586×lower-/.f64
3 556×lower-fma.f64
3 556×lower-fma.f32
2 998×lower-*.f64
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 x (*.f64 y #s(literal 1/500 binary64)))
(+.f64 (*.f64 y #s(literal 1/500 binary64)) x)
(+.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal -1/500 binary64)))
(-.f64 (*.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x)))
(-.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 x (/.f64 x (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 y #s(literal 1/500 binary64) x)
(fma.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) #s(literal -1/500 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y #s(literal 1/500 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)) x)
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (neg.f64 y) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/500 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64) x)
(fma.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal 1/500 binary64) x) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y #s(literal 1/500 binary64)) (fma.f64 y #s(literal 1/500 binary64) x) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y #s(literal -1/500 binary64) x))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64) x)
(fma.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))) x)
(fma.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 binary64))) x)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)) x)
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))))))
(neg.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))))
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))) (fma.f64 y #s(literal -1/500 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/500 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x) (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 y #s(literal -1/500 binary64) x)) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (fma.f64 x (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/15625000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y y) #s(literal -1/250000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 1/250000 binary64) y) (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 y #s(literal -1/500 binary64)))
(neg.f64 (*.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 500 binary64))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 500 binary64) y))
(/.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -500 binary64) y))
(/.f64 #s(literal -1/500 binary64) (neg.f64 (/.f64 #s(literal 1 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 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal -1/500 binary64))))))
(pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 500 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 250000 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 y #s(literal 1/500 binary64)))))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -1/500 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/500 binary64)))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/500 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/500 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y #s(literal -1/500 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/500 binary64) (neg.f64 y))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/500 binary64))
(*.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal -1/500 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal 1/500 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.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 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))

simplify243.0ms (7.7%)

Memory
-22.2MiB live, 254.9MiB allocated
Algorithm
egg-herbie
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 666×associate-/r*
2 352×lower-fma.f64
2 352×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3398138
41108138
52539138
63437138
74311138
84789138
94964138
105054138
115752138
126068138
136070138
146070138
156070138
08131120
Stop Event
iter limit
node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 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)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ 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)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
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)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ 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 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)

eval23.0ms (0.7%)

Memory
2.3MiB live, 39.0MiB allocated
Compiler

Compiled 3 779 to 415 computations (89% saved)

prune42.0ms (1.3%)

Memory
-6.2MiB live, 37.6MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1852187
Fresh000
Picked011
Done000
Total1853188
Accuracy
100.0%
Counts
188 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
44.3%
(*.f64 #s(literal 1/500 binary64) y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify5.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal 1/500 binary64) x)
cost-diff0
(*.f64 #s(literal 1/500 binary64) y)
Rules
lower-+.f64
lower-fma.f32
lower-*.f32
lower-+.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
1912
0912
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
(fma.f64 y #s(literal 1/500 binary64) x)
y
#s(literal 1/500 binary64)
x
Outputs
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
(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

localize21.0ms (0.7%)

Memory
21.4MiB live, 21.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy99.7%
(*.f64 #s(literal 1/500 binary64) y)
Samples
15.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.1% of total)
const: 3.0ms (38.1% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/500 binary64) y)>
#<alt (fma.f64 y #s(literal 1/500 binary64) x)>
Outputs
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt (* 1/500 y)>
#<alt x>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (* 1/500 y)>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* y (+ 1/500 (/ x y)))>
#<alt (* 1/500 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1/500)))>
#<alt (* 1/500 y)>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt (+ x (* 1/500 y))>
#<alt x>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt (* x (+ 1 (* 1/500 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1/500 (/ y x)) 1)))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+ (* y 1/500) x)
0.0ms
y
@inf
(* 1/500 y)
0.0ms
y
@-inf
(+ (* y 1/500) x)
0.0ms
y
@0
(* 1/500 y)
0.0ms
y
@-inf
(* 1/500 y)

rewrite627.0ms (19.9%)

Memory
18.2MiB live, 681.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
18 200×lower-fma.f32
18 198×lower-fma.f64
4 320×lower-*.f32
4 318×lower-*.f64
3 924×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
087
1227
21547
315017
082947
Stop Event
iter limit
node limit
iter limit
Counts
2 → 221
Calls
Call 1
Inputs
(*.f64 #s(literal 1/500 binary64) y)
(fma.f64 y #s(literal 1/500 binary64) x)
Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 #s(literal 1/500 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 1/500 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/500 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/500 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/500 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1/2 binary64)))
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 (*.f64 #s(literal 1/500 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 y #s(literal -1/500 binary64) x))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)))) (fma.f64 #s(literal 1/500 binary64) y x)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x)))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/500 binary64) y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/500 binary64) y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (fma.f64 #s(literal 1/500 binary64) y x)))
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(/.f64 (-.f64 (*.f64 #s(literal 1/62500000000 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))) (*.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.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 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 1/500 binary64) y x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))))
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (/.f64 (fma.f64 #s(literal 1/500 binary64) y x) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/500 binary64) y x) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal -1/125000000 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal -1/125000000 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64)))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64)))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/500 binary64) y x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(*.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 #s(literal 1/62500000000 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/62500000000 binary64) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (neg.f64 x) (fma.f64 y #s(literal -1/500 binary64) x))) (*.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))) (fma.f64 #s(literal 1/500 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/250000 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal -1/125000000 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) (*.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (fma.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)) (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))) (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 1/250000 binary64))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x (fma.f64 #s(literal 1/500 binary64) y x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal -1/125000000 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/125000000 binary64) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/15625000000000000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/250000 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/500 binary64) y x)) #s(literal -1/2 binary64)))

simplify360.0ms (11.5%)

Memory
-21.2MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 610×associate-/r*
2 352×lower-fma.f64
2 352×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3395138
41103138
52528138
63417138
74291138
84767138
94942138
105032138
115730138
126046138
136050138
146050138
156050138
08061120
Stop Event
iter limit
node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
(* 1/500 y)
x
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(* 1/500 y)
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* y (+ 1/500 (/ x y)))
(* 1/500 y)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* 1/500 y)
(+ x (* 1/500 y))
(+ x (* 1/500 y))
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
(* x (+ 1 (* 1/500 (/ y x))))
x
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
x
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(* -1 (* y (- (* -1 (/ 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 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y 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 (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(+ 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)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
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)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)

eval65.0ms (2.1%)

Memory
-22.0MiB live, 55.8MiB allocated
Compiler

Compiled 8 122 to 522 computations (93.6% saved)

prune43.0ms (1.4%)

Memory
29.4MiB live, 67.4MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2540254
Fresh000
Picked022
Done011
Total2543257
Accuracy
100.0%
Counts
257 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
44.3%
(*.f64 #s(literal 1/500 binary64) y)
Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes10.0ms (0.3%)

Memory
-17.7MiB live, 20.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/500 binary64) y)
(fma.f64 y #s(literal 1/500 binary64) x)
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

4.0ms
(+.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 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/500 binary64) y)
(fma.f64 y #s(literal 1/500 binary64) x)
Outputs
(fma.f64 y #s(literal 1/500 binary64) x)
Calls

4 calls:

2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
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 18 to 13 computations (27.8% saved)

regimes19.0ms (0.6%)

Memory
-24.4MiB live, 14.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

15.0ms
y
1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
x
1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Results
AccuracySegmentsBranch
44.3%1x
44.3%1y
44.3%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
44.3%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11012
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(*.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)
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))

soundness431.0ms (13.7%)

Memory
-24.7MiB live, 135.7MiB allocated
Rules
4 188×lower-/.f32
4 188×lower-/.f64
3 666×associate-/r*
3 588×lower-/.f32
3 586×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023138
164138
2141138
3398138
41108138
52539138
63437138
74311138
84789138
94964138
105054138
115752138
126068138
136070138
146070138
156070138
08131120
058
078
1318
22358
337068
082957
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 25 to 16 computations (36% saved)

preprocess74.0ms (2.3%)

Memory
33.1MiB live, 77.0MiB allocated
Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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