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

Time bar (total: 1.3s)

analyze8.0ms (0.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
87.5%87.4%12.5%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
93.8%93.7%6.2%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
96.9%96.8%3.1%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
98.4%98.3%1.6%0.1%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (51% of total)
ival-div: 1.0ms (51% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample635.0ms (49.5%)

Results
364.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 85.0ms (54.8% of total)
ival-sub: 61.0ms (39.3% of total)
const: 7.0ms (4.5% of total)
backward-pass: 3.0ms (1.9% of total)
Bogosity

preprocess55.0ms (4.3%)

Algorithm
egg-herbie
Rules
368×times-frac
244×div-sub
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
176×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
14932
213430
336430
486030
5124030
6129330
7133330
8138430
9139630
045
195
2175
3305
4535
5865
61275
72575
85455
96075
106255
116495
126505
06505
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- x y) x)
Outputs
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Call 2
Inputs
(/ (- x y) x)
(/ (- (neg x) y) (neg x))
(/ (- x (neg y)) x)
(neg (/ (- (neg x) y) (neg x)))
(neg (/ (- x (neg y)) x))
(/ (- y x) y)
Outputs
(/ (- x y) x)
(- 1 (/ y x))
(/ (- (neg x) y) (neg x))
(/ (+ x y) x)
(/ (- x (neg y)) x)
(/ (+ x y) x)
(neg (/ (- (neg x) y) (neg x)))
(- -1 (/ y x))
(neg (/ (- x (neg y)) x))
(- -1 (/ y x))
(/ (- y x) y)
(- 1 (/ x y))

explain46.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (-.f64 x y) x)
00-0-(-.f64 x y)
00-0-y
Results
28.0ms512×0valid
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.2% of total)
ival-sub: 3.0ms (36.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize35.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Rules
44×+-lowering-+.f64
44×+-lowering-+.f32
34×sub-neg
32×--lowering--.f32
32×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1911
21711
32611
44111
55511
67011
79011
810411
910711
1010811
010811
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- 1 (/ y x))
1
(/ y x)
y
x
Outputs
(- 1 (/ y x))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
x
Results
14.0ms256×0valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (48.1% of total)
ival-sub: 1.0ms (24.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.4%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (- 1 (/ y x))>
#<alt (/ y x)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (* -1 (/ y x))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* y (- (/ 1 y) (/ 1 x)))>
#<alt (* -1 (/ y x))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 x) (/ 1 y))))>
#<alt (* -1 (/ y x))>
#<alt (/ (- x y) x)>
#<alt (/ (- x y) x)>
#<alt (/ (- x y) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (+ 1 (* -1 (/ y x)))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
Calls

12 calls:

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

rewrite341.0ms (26.6%)

Algorithm
batch-egg-rewrite
Rules
2854×accelerator-lowering-fma.f32
2854×accelerator-lowering-fma.f64
2606×*-lowering-*.f32
2606×*-lowering-*.f64
2130×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1298
22288
347698
082998
Stop Event
iter limit
node limit
Counts
2 → 169
Calls
Call 1
Inputs
(- 1 (/ y x))
(/ y x)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) #s(literal -1 binary64)) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y))) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y))))))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y))))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y)))))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) #s(literal 1 binary64))))) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (neg.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 x (/.f64 x y))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (+.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) (+.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y))) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) (*.f64 x (/.f64 x y)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y))) (*.f64 x (/.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (/.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x (/.f64 x y)) (*.f64 x (/.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y))))))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) x)
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (exp.f64 (log.f64 y)) x)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 y)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 (exp.f64 (log.f64 y)) (/.f64 #s(literal 1 binary64) x))

simplify34.0ms (2.6%)

Algorithm
egg-herbie
Rules
272×accelerator-lowering-fma.f32
272×accelerator-lowering-fma.f64
176×*-lowering-*.f32
176×*-lowering-*.f64
132×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016195
136177
285177
3186177
4276177
5467177
6550177
7621177
8862177
9883177
10883177
0883177
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(* -1 (/ y x))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* y (- (/ 1 y) (/ 1 x)))
(* -1 (/ y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(* -1 (/ y x))
(/ (- x y) x)
(/ (- x y) x)
(/ (- x y) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (/ y x))
(/.f64 y (-.f64 #s(literal 0 binary64) x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (- (/ 1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (/ y x))
(/.f64 y (-.f64 #s(literal 0 binary64) x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (* y (- (/ 1 x) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(* -1 (/ y x))
(/.f64 y (-.f64 #s(literal 0 binary64) x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ (- x y) x)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

eval40.0ms (3.1%)

Compiler

Compiled 4532 to 1928 computations (57.5% saved)

prune23.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2161217
Fresh000
Picked011
Done000
Total2162218
Accuracy
100.0%
Counts
218 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
55.4%
#s(literal 1 binary64)
Compiler

Compiled 10 to 8 computations (20% saved)

localize14.0ms (1.1%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
131
031
Stop Event
saturated
saturated
Calls
Call 1
Inputs
1
Outputs
1
#s(literal 1 binary64)
Results
6.0ms256×0valid
Compiler

Compiled 4 to 4 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite7.0ms (0.6%)

Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y x))
55.4%
#s(literal 1 binary64)
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes8.0ms (0.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (-.f64 x y) x)
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 y x))
Calls

3 calls:

5.0ms
x
2.0ms
y
1.0ms
(/.f64 (-.f64 x y) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
55.4%1x
55.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

Stop Event
done
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess25.0ms (2%)

Compiler

Compiled 44 to 30 computations (31.8% saved)

end0.0ms (0%)

Profiling

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