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

Time bar (total: 3.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample807.0ms (26.7%)

Memory
-9.9MiB live, 825.1MiB allocated
Samples
653.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-div: 95.0ms (63.6% of total)
ival-add: 41.0ms (27.5% of total)
ival-true: 5.0ms (3.3% of total)
exact: 4.0ms (2.7% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

preprocess17.0ms (0.6%)

Memory
-7.9MiB live, 31.0MiB 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
165
065
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ x (/ y 500))
Outputs
(+ x (/ y 500))
(+.f64 x (/.f64 y #s(literal 500 binary64)))

explain54.0ms (1.8%)

Memory
-11.5MiB live, 120.1MiB 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 40 to 24 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (52% of total)
ival-add: 3.0ms (39% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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
7.8MiB live, 7.8MiB 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
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1611
0611
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x (/ y 500))
x
(/ y 500)
y
500
Outputs
(+ x (/ y 500))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/ y 500)
(/.f64 y #s(literal 500 binary64))
y
500
#s(literal 500 binary64)

localize17.0ms (0.6%)

Memory
-1.0MiB live, 37.4MiB 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
12.0ms256×0valid
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 (54.4% of total)
ival-add: 1.0ms (27.2% 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
4.2MiB live, 4.2MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (+ x (/ y 500))>
#<alt (/ y 500)>
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
y
@inf
(/ y 500)
0.0ms
x
@inf
(+ x (/ y 500))
0.0ms
x
@0
(+ x (/ y 500))

rewrite248.0ms (8.2%)

Memory
16.5MiB live, 327.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 588×/-lowering-/.f32
3 588×/-lowering-/.f64
3 556×accelerator-lowering-fma.f32
3 556×accelerator-lowering-fma.f64
2 998×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1298
22338
336898
082857
Stop Event
iter limit
node limit
Counts
2 → 154
Calls
Call 1
Inputs
(+ x (/ y 500))
(/ y 500)
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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x 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 (/.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 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -1/500 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 #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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)) (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 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.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 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 1/500 binary64)) x))
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x 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 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(/.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 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.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))))) (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 x (*.f64 (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x 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 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 y #s(literal -1/500 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/125000000 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (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 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 y #s(literal -1/500 binary64) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y #s(literal 1/500 binary64)) x)))
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(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)) (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -1/500 binary64) x) (*.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y))) (fma.f64 (*.f64 y y) #s(literal -1/250000 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (*.f64 #s(literal 1/250000 binary64) y)))))
(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 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.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 (neg.f64 y))) (exp.f64 (log.f64 #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)))

simplify242.0ms (8%)

Memory
1.0MiB live, 247.3MiB allocated
Algorithm
egg-herbie
Rules
4 188×/-lowering-/.f32
4 188×/-lowering-/.f64
3 666×associate-/r*
2 352×accelerator-lowering-fma.f32
2 352×accelerator-lowering-fma.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
Stop Event
iter limit
node limit
Counts
36 → 36
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)

eval22.0ms (0.7%)

Memory
-10.7MiB live, 65.7MiB allocated
Compiler

Compiled 3 782 to 417 computations (89% saved)

prune57.0ms (1.9%)

Memory
-1.5MiB live, 37.1MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1873190
Fresh000
Picked011
Done000
Total1874191
Accuracy
100.0%
Counts
191 → 4
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)))
48.8%
(*.f64 #s(literal 1/500 binary64) y)
51.6%
x
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB 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
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
+-lowering-+.f32
accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
1714
0713
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* 1/500 y)
1/500
y
(+ (* y 1/500) x)
y
1/500
x
Outputs
x
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
1/500
#s(literal 1/500 binary64)
y
(+ (* y 1/500) x)
(fma.f64 #s(literal 1/500 binary64) y x)
y
1/500
#s(literal 1/500 binary64)
x

localize32.0ms (1.1%)

Memory
-13.8MiB live, 28.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 y #s(literal 1/500 binary64) x)
accuracy99.8%
(*.f64 #s(literal 1/500 binary64) y)
Samples
25.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
const: 13.0ms (74.2% of total)
ival-mult: 3.0ms (17.1% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#<alt (* 1/500 y)>
#<alt (+ (* y 1/500) 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
(* 1/500 y)
0.0ms
y
@inf
(+ (* y 1/500) x)
0.0ms
y
@-inf
(+ (* y 1/500) x)
0.0ms
y
@-inf
(* 1/500 y)
0.0ms
y
@0
(* 1/500 y)

rewrite488.0ms (16.1%)

Memory
-0.9MiB live, 789.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
18 200×accelerator-lowering-fma.f32
18 200×accelerator-lowering-fma.f64
4 320×*-lowering-*.f32
4 320×*-lowering-*.f64
3 924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1208
21528
314958
082597
Stop Event
iter limit
node limit
Counts
2 → 221
Calls
Call 1
Inputs
(* 1/500 y)
(+ (* y 1/500) 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 (*.f64 #s(literal 1/500 binary64) y) x)
(+.f64 (*.f64 #s(literal 1/500 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 x (*.f64 #s(literal 1/500 binary64) y))
(+.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 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 (*.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 #s(literal 0 binary64) (fma.f64 y #s(literal -1/500 binary64) x)) (neg.f64 (fma.f64 #s(literal 1/500 binary64) y x)))
(-.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)))
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(-.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)))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64)) (*.f64 (/.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 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 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.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)) (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 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.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 (*.f64 (*.f64 y y) #s(literal 1/62500000000 binary64)) (*.f64 (/.f64 y (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 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 x x) (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 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 x (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 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 (*.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 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.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) (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 (-.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 (fma.f64 y (fma.f64 y #s(literal 1/250000 binary64) (*.f64 #s(literal -1/500 binary64) x)) (*.f64 x x)) (fma.f64 #s(literal 1/1953125000000000000000000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #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 #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)))

simplify250.0ms (8.3%)

Memory
7.4MiB live, 342.2MiB allocated
Algorithm
egg-herbie
Rules
4 188×/-lowering-/.f32
4 188×/-lowering-/.f64
3 610×associate-/r*
2 352×accelerator-lowering-fma.f32
2 352×accelerator-lowering-fma.f64
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 → 36
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)

eval45.0ms (1.5%)

Memory
-8.1MiB live, 67.9MiB allocated
Compiler

Compiled 8 125 to 522 computations (93.6% saved)

prune31.0ms (1%)

Memory
27.1MiB live, 66.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2570257
Fresh000
Picked033
Done011
Total2574261
Accuracy
100.0%
Counts
261 → 4
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)))
48.8%
(*.f64 #s(literal 1/500 binary64) y)
51.6%
x
Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes12.0ms (0.4%)

Memory
-22.3MiB live, 19.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.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:

5.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
x
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
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)

regimes8.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
(*.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
x
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
y
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)

regimes8.0ms (0.3%)

Memory
-15.3MiB live, 22.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/500 binary64) y)
Outputs
(*.f64 #s(literal 1/500 binary64) y)
x
(*.f64 #s(literal 1/500 binary64) y)
Calls

4 calls:

3.0ms
(/.f64 y #s(literal 500 binary64))
2.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
76.2%3x
80.1%3y
63.1%5(+.f64 x (/.f64 y #s(literal 500 binary64)))
80.1%3(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

4 calls:

1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.6%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
51.6%1x
51.6%1y
51.6%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3604166765812937e-22
1.3168862954307185e-20
0.0ms
-1.4064292696574846e+74
-1.2791717426993328e+68
Compiler

Compiled 10 to 10 computations (0% saved)

simplify10.0ms (0.3%)

Memory
-12.0MiB live, 25.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
11927
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) (*.f64 #s(literal 1/500 binary64) y) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4253529586511731/10633823966279326983230456482242756608 binary64)) x (*.f64 #s(literal 1/500 binary64) y)))
x
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(fma.f64 y #s(literal 1/500 binary64) x)
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) (*.f64 #s(literal 1/500 binary64) y) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4253529586511731/10633823966279326983230456482242756608 binary64)) x (*.f64 #s(literal 1/500 binary64) y)))
(if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal -99999999999999995164818811802792197885196090803013355167206819763650035712 binary64)) (*.f64 y #s(literal 1/500 binary64)) (if (<=.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4253529586511731/10633823966279326983230456482242756608 binary64)) x (*.f64 y #s(literal 1/500 binary64))))
x

soundness627.0ms (20.7%)

Memory
-14.1MiB live, 228.2MiB allocated
Rules
4 188×/-lowering-/.f32
4 188×/-lowering-/.f64
3 666×associate-/r*
3 588×/-lowering-/.f32
3 588×/-lowering-/.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
1298
22338
336898
082857
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 48 to 26 computations (45.8% saved)

preprocess29.0ms (1%)

Memory
0.6MiB live, 75.4MiB allocated
Compiler

Compiled 76 to 38 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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