Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

Time bar (total: 4.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

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

sample645.0ms (13.3%)

Results
465.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-div: 82.0ms (54.7% of total)
ival-sub: 51.0ms (34% of total)
const: 14.0ms (9.3% of total)
backward-pass: 3.0ms (2% of total)
Bogosity

preprocess28.0ms (0.6%)

Algorithm
egg-herbie
Rules
80×fnmsub-define
80×fmsub-define
80×fnmadd-define
70×fmm-def
56×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
12012
2449
3759
41599
52609
62809
72949
83119
93259
103299
063
1113
2123
0123
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ 1 3))
Outputs
(- x (/ 1 3))
(+.f64 x #s(literal -1/3 binary64))
Call 2
Inputs
(- x (/ 1 3))
(- (neg x) (/ 1 3))
(neg (- (neg x) (/ 1 3)))
Outputs
(- x (/ 1 3))
(+ x -1/3)
(- (neg x) (/ 1 3))
(- -1/3 x)
(neg (- (neg x) (/ 1 3)))
(+ x 1/3)

explain57.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
Results
33.0ms512×0valid
Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (57.5% of total)
ival-sub: 3.0ms (34.5% of total)
const: 1.0ms (11.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x #s(literal -1/3 binary64))
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1/3 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
145
045
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ x -1/3)
x
-1/3
Outputs
(+ x -1/3)
(+.f64 x #s(literal -1/3 binary64))
x
-1/3
#s(literal -1/3 binary64)

localize23.0ms (0.5%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal -1/3 binary64))
Results
18.0ms256×0valid
Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
...c/correct-round.rkt:119:19: 4.0ms (63.7% of total)
ival-add: 2.0ms (31.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (+ x -1/3)>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ x -1/3)
0.0ms
x
@0
(+ x -1/3)
0.0ms
x
@-inf
(+ x -1/3)

rewrite321.0ms (6.7%)

Algorithm
batch-egg-rewrite
Rules
3890×/-lowering-/.f32
3890×/-lowering-/.f64
3454×*-lowering-*.f32
3454×*-lowering-*.f64
2388×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1193
21253
310113
085253
Stop Event
iter limit
node limit
Counts
1 → 185
Calls
Call 1
Inputs
(+ x -1/3)
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(+.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(+.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)) (neg.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
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(*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) #s(literal 1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (+.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))

simplify32.0ms (0.7%)

Algorithm
egg-herbie
Rules
236×fma-lowering-fma.f32
236×fma-lowering-fma.f64
228×fnmadd-define
220×fmsub-define
208×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13530
28030
317930
451130
568730
691430
7105930
8113330
0113330
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

eval37.0ms (0.8%)

Compiler

Compiled 6454 to 534 computations (91.7% saved)

prune27.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1925197
Fresh000
Picked011
Done000
Total1926198
Accuracy
100.0%
Counts
198 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
65.6%
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
100.0%
(+.f64 x #s(literal -1/3 binary64))
75.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
48.3%
x
53.3%
#s(literal -1/3 binary64)
Compiler

Compiled 96 to 69 computations (28.1% saved)

simplify198.0ms (4.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))
cost-diff0
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
cost-diff0
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
cost-diff0
(+.f64 x #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
cost-diff0
(+.f64 x #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
Rules
2394×fnmadd-define
2082×fma-define
1572×fma-lowering-fma.f32
1572×fma-lowering-fma.f64
1546×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019103
15797
212397
322797
435597
550797
682497
7134597
8223497
9357397
10484697
11636997
12738597
0800597
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ 1 (+ x 1/3)) (/ 1 (+ (* x x) -1/9)))
(/ 1 (+ x 1/3))
1
(+ x 1/3)
x
1/3
(/ 1 (+ (* x x) -1/9))
(+ (* x x) -1/9)
(* x x)
-1/9
-1/3
x
(* (/ 1 (+ x 1/3)) (+ (* x x) -1/9))
(/ 1 (+ x 1/3))
1
(+ x 1/3)
x
1/3
(+ (* x x) -1/9)
(* x x)
-1/9
(/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))
(- (* x (* x x)) 1/27)
(* x (* x x))
x
(* x x)
1/27
(+ 1/9 (* x (+ x 1/3)))
1/9
(* x (+ x 1/3))
(+ x 1/3)
1/3
Outputs
(/ (/ 1 (+ x 1/3)) (/ 1 (+ (* x x) -1/9)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/ 1 (+ x 1/3))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(+ x 1/3)
(+.f64 x #s(literal 1/3 binary64))
x
1/3
#s(literal 1/3 binary64)
(/ 1 (+ (* x x) -1/9))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(+ (* x x) -1/9)
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* x x)
(*.f64 x x)
-1/9
#s(literal -1/9 binary64)
-1/3
#s(literal -1/3 binary64)
x
(* (/ 1 (+ x 1/3)) (+ (* x x) -1/9))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(/ 1 (+ x 1/3))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(+ x 1/3)
(+.f64 x #s(literal 1/3 binary64))
x
1/3
#s(literal 1/3 binary64)
(+ (* x x) -1/9)
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* x x)
(*.f64 x x)
-1/9
#s(literal -1/9 binary64)
(/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(- (* x (* x x)) 1/27)
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
1/27
#s(literal 1/27 binary64)
(+ 1/9 (* x (+ x 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
1/9
#s(literal 1/9 binary64)
(* x (+ x 1/3))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(+ x 1/3)
(+.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize129.0ms (2.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.7%
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
accuracy66.4%
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
accuracy100.0%
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
accuracy100.0%
(+.f64 x #s(literal 1/3 binary64))
accuracy75.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
accuracy100.0%
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
accuracy100.0%
(+.f64 x #s(literal 1/3 binary64))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
accuracy76.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
Results
96.0ms256×0valid
Compiler

Compiled 124 to 20 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
...c/correct-round.rkt:119:19: 20.0ms (48.2% of total)
ival-div: 8.0ms (19.3% of total)
ival-mult: 7.0ms (16.9% of total)
ival-add: 5.0ms (12.1% of total)
ival-sub: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.4%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ (/ 1 (+ x 1/3)) (/ 1 (+ (* x x) -1/9)))>
#<alt (/ 1 (+ x 1/3))>
#<alt (+ x 1/3)>
#<alt (/ 1 (+ (* x x) -1/9))>
#<alt (* (/ 1 (+ x 1/3)) (+ (* x x) -1/9))>
#<alt (+ (* x x) -1/9)>
#<alt (/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))>
#<alt (- (* x (* x x)) 1/27)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* x (+ x 1/3))>
#<alt (+ 1/9 (* x (+ x 1/3)))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -9>
#<alt (- (* -81 (pow x 2)) 9)>
#<alt (- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/9>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (- (pow x 2) 1/9)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt (- x 1/3)>
#<alt x>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt (* x (- 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))>
#<alt -1/27>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (- (pow x 3) 1/27)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
Calls

36 calls:

TimeVariablePointExpression
6.0ms
x
@0
(/ 1 (+ (* x x) -1/9))
4.0ms
x
@-inf
(* (/ 1 (+ x 1/3)) (+ (* x x) -1/9))
1.0ms
x
@inf
(/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))
1.0ms
x
@-inf
(/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))
1.0ms
x
@0
(/ (/ 1 (+ x 1/3)) (/ 1 (+ (* x x) -1/9)))

rewrite418.0ms (8.7%)

Algorithm
batch-egg-rewrite
Rules
4934×*-lowering-*.f32
4934×*-lowering-*.f64
3358×/-lowering-/.f32
3358×/-lowering-/.f64
2142×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01868
113446
2106646
0878246
Stop Event
iter limit
node limit
Counts
12 → 1270
Calls
Call 1
Inputs
(/ (/ 1 (+ x 1/3)) (/ 1 (+ (* x x) -1/9)))
(/ 1 (+ x 1/3))
(+ x 1/3)
(/ 1 (+ (* x x) -1/9))
(* (/ 1 (+ x 1/3)) (+ (* x x) -1/9))
(+ (* x x) -1/9)
(/ (- (* x (* x x)) 1/27) (+ 1/9 (* x (+ x 1/3))))
(- (* x (* x x)) 1/27)
(* x (* x x))
(* x x)
(* x (+ x 1/3))
(+ 1/9 (* x (+ x 1/3)))
Outputs
(+.f64 x #s(literal -1/3 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))))
(+.f64 (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(+.f64 (fma.f64 x (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/27 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal 1/27 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/27 binary64))))
(+.f64 (fma.f64 x (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))))))) (fma.f64 (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))))))
(+.f64 (fma.f64 x (/.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))))) (fma.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/27 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal 1/27 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/27 binary64))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))))))) (fma.f64 (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))))))
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(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(fma.f64 (+.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/81 binary64))))
(/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))) (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))) (neg.f64 (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))) (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/81 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))))) (neg.f64 (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))) (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/81 binary64))) (neg.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))))) (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (+.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))))
(*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (+.f64 #s(literal -1/729 binary64) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(*.f64 (+.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))

simplify194.0ms (4%)

Algorithm
egg-herbie
Rules
2246×*-lowering-*.f32
2246×*-lowering-*.f64
1574×sum3-define
1478×sum4-define
1180×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0122666
1347594
2880592
32638590
46532590
08139590
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-9
(- (* -81 (pow x 2)) 9)
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/9
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(- (pow x 2) 1/9)
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 x)
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 3 (* x (- (* 27 x) 9)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27 binary64)))))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x #s(literal -81 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal -1/3 binary64)) x)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
-9
#s(literal -9 binary64)
(- (* -81 (pow x 2)) 9)
(+.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(- (* (pow x 2) (- (* -729 (pow x 2)) 81)) 9)
(+.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -81 binary64) (*.f64 (*.f64 x x) #s(literal -729 binary64))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -6561 (pow x 2)) 729)) 81)) 9)
(+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -81 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -729 binary64) (*.f64 x (*.f64 x #s(literal -6561 binary64))))))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) x) x)
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/9 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) x) x)
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (* 1/9 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (/ 1/81 (pow x 4)) (+ (* 1/9 (/ 1 (pow x 2))) (* 1/729 (/ 1 (pow x 6)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/9
#s(literal -1/9 binary64)
(- (pow x 2) 1/9)
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(- (pow x 2) 1/9)
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1/9 (* x (+ 1/3 x)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(+ 1/9 (* x (+ 1/3 x)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))

eval354.0ms (7.3%)

Compiler

Compiled 54771 to 2774 computations (94.9% saved)

prune227.0ms (4.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New179621798
Fresh000
Picked325
Done011
Total179951804
Accuracy
100.0%
Counts
1804 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
54.2%
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
100.0%
(+.f64 x #s(literal -1/3 binary64))
48.3%
x
53.3%
#s(literal -1/3 binary64)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
cost-diff0
(+.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
cost-diff0
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
cost-diff0
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
28×fma-define
26×fma-lowering-fma.f32
26×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01245
12542
25542
37042
47642
07642
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))
-1/27
(+ 1/9 (* x (+ x 1/3)))
1/9
(* x (+ x 1/3))
x
(+ x 1/3)
1/3
(/ (/ 1 (+ x 1/3)) -9)
(/ 1 (+ x 1/3))
1
(+ x 1/3)
x
1/3
-9
Outputs
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
-1/27
#s(literal -1/27 binary64)
(+ 1/9 (* x (+ x 1/3)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
1/9
#s(literal 1/9 binary64)
(* x (+ x 1/3))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
x
(+ x 1/3)
(+.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (/ 1 (+ x 1/3)) -9)
(/.f64 #s(literal -1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))
(/ 1 (+ x 1/3))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(+ x 1/3)
(+.f64 x #s(literal 1/3 binary64))
x
1/3
#s(literal 1/3 binary64)
-9
#s(literal -9 binary64)

localize100.0ms (2.1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
accuracy100.0%
(+.f64 x #s(literal 1/3 binary64))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
accuracy100.0%
(+.f64 x #s(literal 1/3 binary64))
accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
accuracy99.7%
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
accuracy99.3%
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
Results
74.0ms256×0valid
Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
...c/correct-round.rkt:119:19: 33.0ms (75.1% of total)
ival-div: 5.0ms (11.4% of total)
ival-add: 3.0ms (6.8% of total)
ival-mult: 2.0ms (4.6% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ -1/27 (+ 1/9 (* x (+ x 1/3))))>
#<alt (+ 1/9 (* x (+ x 1/3)))>
#<alt (* x (+ x 1/3))>
#<alt (+ x 1/3)>
#<alt (/ (/ 1 (+ x 1/3)) -9)>
#<alt (/ 1 (+ x 1/3))>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -9 (pow x 2)))) 1/3)>
#<alt (- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)>
#<alt (/ -1/27 (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))>
#<alt (/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))>
#<alt (/ -1/27 (pow x 2))>
#<alt (/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (+ 1/9 (* x (+ 1/3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (* x (+ 1/3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))>
#<alt 1/3>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt (+ 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 1 (* 1/3 (/ 1 x))))>
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)>
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))>
#<alt 3>
#<alt (+ 3 (* -9 x))>
#<alt (+ 3 (* x (- (* 27 x) 9)))>
#<alt (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))
0.0ms
x
@-inf
(/ (/ 1 (+ x 1/3)) -9)
0.0ms
x
@inf
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))
0.0ms
x
@inf
(/ (/ 1 (+ x 1/3)) -9)
0.0ms
x
@-inf
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))

rewrite525.0ms (10.9%)

Algorithm
batch-egg-rewrite
Rules
3054×*-lowering-*.f32
3054×*-lowering-*.f64
2428×/-lowering-/.f32
2428×/-lowering-/.f64
1370×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
17531
250731
3562431
0853431
Stop Event
iter limit
node limit
Counts
6 → 365
Calls
Call 1
Inputs
(/ -1/27 (+ 1/9 (* x (+ x 1/3))))
(+ 1/9 (* x (+ x 1/3)))
(* x (+ x 1/3))
(+ x 1/3)
(/ (/ 1 (+ x 1/3)) -9)
(/ 1 (+ x 1/3))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) #s(literal 1/81 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))))) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))))) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))))))
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))) (*.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal 1/27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal 1/27 binary64))))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal 1/27 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal -1/27 binary64)))
(/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal -27 binary64))
(/.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))))
(/.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal -1/2187 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 #s(literal -1/243 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (-.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) #s(literal 1/81 binary64))))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) (-.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))) #s(literal 1/81 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))) (*.f64 (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) x)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (-.f64 #s(literal -1/3 binary64) x)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) #s(literal 1/27 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
(*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal -1/27 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))) #s(literal 1/27 binary64))
(*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))))))
(*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 x x))))))) (+.f64 #s(literal -1/2187 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))) (+.f64 #s(literal -1/243 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64))) (-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/27 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))

simplify378.0ms (7.8%)

Algorithm
egg-herbie
Rules
2122×*-lowering-*.f32
2122×*-lowering-*.f64
1816×+-lowering-+.f64
1816×+-lowering-+.f32
1528×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154534
1491477
21279433
33606432
08443432
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/ -1/27 (pow x 2))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(* x (+ 1/3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
-1/3
(- x 1/3)
(- (* x (+ 1 (* -3 x))) 1/3)
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(/ -1/9 x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ -1/9 x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
3
(+ 3 (* -9 x))
(+ 3 (* x (- (* 27 x) 9)))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(/ 1 x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -9 (pow x 2)))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) #s(literal -1/3 binary64))
(- (* x (+ 1 (* (pow x 2) (- (* 27 x) 9)))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27 binary64)))))) #s(literal -1/3 binary64))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) x) x) #s(literal -1/81 binary64)) x)) x) x)
(/ (- (+ (* 1/81 (/ 1 x)) (* 1/2187 (/ 1 (pow x 4)))) (+ 1/27 (/ 1/729 (pow x 3)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) x) x) #s(literal -1/81 binary64)) x)) (/.f64 #s(literal 1/2187 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))
(/ -1/27 (pow x 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 x x))
(/ (- (* 1/81 (/ 1 x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x)) 1/27) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) x) x) #s(literal -1/81 binary64)) x)) x) x)
(/ (- (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) (+ 1/81 (/ 1/2187 (pow x 3)))) x)) 1/27) (pow x 2))
(/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x x)))) x)) (*.f64 x x))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1/9 (* x (+ 1/3 x)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(+ 1/9 (* x (+ 1/3 x)))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 x))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -3 x))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9 binary64)))))) #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)) (/.f64 #s(literal 1/243 binary64) (*.f64 x (*.f64 x x)))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal -1/81 binary64)) x)) x)) x)
3
#s(literal 3 binary64)
(+ 3 (* -9 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 3 (* x (- (* 27 x) 9)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27 binary64)))))
(+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x #s(literal -81 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(/ (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/3 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x)) x)

eval65.0ms (1.4%)

Compiler

Compiled 11833 to 1541 computations (87% saved)

prune123.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New5311532
Fresh000
Picked112
Done033
Total5325537
Accuracy
100.0%
Counts
537 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
53.5%
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
100.0%
(+.f64 x #s(literal -1/3 binary64))
48.3%
x
53.3%
#s(literal -1/3 binary64)
Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff0
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
cost-diff0
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
*-lowering-*.f32
*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
1917
21117
01117
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ -1/27 (+ 1/9 (* x 1/3)))
-1/27
(+ 1/9 (* x 1/3))
1/9
(* x 1/3)
x
1/3
Outputs
(/ -1/27 (+ 1/9 (* x 1/3)))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
-1/27
#s(literal -1/27 binary64)
(+ 1/9 (* x 1/3))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
1/9
#s(literal 1/9 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
x
1/3
#s(literal 1/3 binary64)

localize45.0ms (0.9%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
accuracy99.7%
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
Results
34.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
...c/correct-round.rkt:119:19: 9.0ms (59.3% of total)
ival-div: 2.0ms (13.2% of total)
ival-mult: 2.0ms (13.2% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ -1/27 (+ 1/9 (* x 1/3)))>
#<alt (+ 1/9 (* x 1/3))>
#<alt (* x 1/3)>
Outputs
#<alt -1/3>
#<alt (- x 1/3)>
#<alt (- (* x (+ 1 (* -3 x))) 1/3)>
#<alt (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* 1/27 (/ 1 x)) 1/9) x)>
#<alt (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))>
#<alt 1/9>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (+ 1/9 (* 1/3 x))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* x (+ 1/3 (* 1/9 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 1/3)
0.0ms
x
@-inf
(* x 1/3)
0.0ms
x
@0
(/ -1/27 (+ 1/9 (* x 1/3)))
0.0ms
x
@0
(* x 1/3)
0.0ms
x
@0
(+ 1/9 (* x 1/3))

rewrite403.0ms (8.3%)

Algorithm
batch-egg-rewrite
Rules
4726×/-lowering-/.f32
4726×/-lowering-/.f64
4114×*-lowering-*.f32
4114×*-lowering-*.f64
1788×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
13313
222513
3204513
0916013
Stop Event
iter limit
node limit
Counts
3 → 313
Calls
Call 1
Inputs
(/ -1/27 (+ 1/9 (* x 1/3)))
(+ 1/9 (* x 1/3))
(* x 1/3)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal 1/81 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal 1/81 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))))
(+.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1/27 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) #s(literal -27 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) #s(literal -27 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal -27 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 1/27 binary64)) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal -27 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))))
(fma.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))))
(fma.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal 1/81 binary64) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) #s(literal 1/81 binary64)))
(fma.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (*.f64 x #s(literal -1/3 binary64))))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1/27 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1/27 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal -27 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 27 binary64))
(/.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(/.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/2187 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 1/81 binary64))))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))) (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2187 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 1/81 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))) (-.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 1/81 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))) (neg.f64 (*.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))) (-.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))) (neg.f64 (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) #s(literal 1/81 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))) (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) (-.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))) (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(pow.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1/27 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1/27 binary64)) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal -1/27 binary64))) #s(literal -1/2 binary64))
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(*.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))) #s(literal -1/81 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6561 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/729 binary64) (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))) #s(literal -1/81 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/6561 binary64) (*.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/27 binary64)))) #s(literal -1/81 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 #s(literal -1/81 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/9 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (exp.f64 (log.f64 x)))

simplify207.0ms (4.3%)

Algorithm
egg-herbie
Rules
1930×fnmadd-define
1544×+-lowering-+.f64
1544×+-lowering-+.f32
1512×fnmsub-define
1238×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066195
1202176
2486174
31173172
43585172
57903172
08149172
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
-1/3
(- x 1/3)
(- (* x (+ 1 (* -3 x))) 1/3)
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(/ -1/9 x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/ -1/9 x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* 1/3 x))
(+ 1/9 (* 1/3 x))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* 1/3 x)
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- (* x (+ 1 (* -3 x))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal -1/3 binary64))
(- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9 binary64)))))) #s(literal -1/3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* 1/27 (/ 1 x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)) x)
(/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (+.f64 #s(literal 1/81 binary64) (/.f64 #s(literal -1/243 binary64) x)) x)) x)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1/9 (* 1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ 1/9 (* 1/3 x))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* x (+ 1/3 (* 1/9 (/ 1 x))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))

eval44.0ms (0.9%)

Compiler

Compiled 10165 to 1064 computations (89.5% saved)

prune43.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3490349
Fresh000
Picked011
Done044
Total3495354
Accuracy
100.0%
Counts
354 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
53.5%
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
100.0%
(+.f64 x #s(literal -1/3 binary64))
48.3%
x
53.3%
#s(literal -1/3 binary64)
Compiler

Compiled 97 to 50 computations (48.5% saved)

regimes8.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
x
(+.f64 x #s(literal -1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -9 binary64))
(/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x x) #s(literal -1/9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1/9 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
Outputs
(+.f64 x #s(literal -1/3 binary64))
Calls

2 calls:

4.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1/3 binary64)
x
Outputs
x
#s(literal -1/3 binary64)
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch30.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.136016512901911e-5
2.8068932094227424e+21
13.0ms
-0.5715217852874802
-3.6654674769720737e-6
Results
14.0ms320×0valid
Compiler

Compiled 130 to 108 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (56.7% of total)
ival-sub: 2.0ms (37.8% of total)
const: 1.0ms (18.9% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11315
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x #s(literal -1/3 binary64))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)
Outputs
(+.f64 x #s(literal -1/3 binary64))
(if (<=.f64 x #s(literal -5944751508129055/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x))
#s(literal -1/3 binary64)

soundness62.0ms (1.3%)

Rules
236×fma-lowering-fma.f32
236×fma-lowering-fma.f64
228×fnmadd-define
220×fmsub-define
208×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
13530
28030
317930
451130
568730
691430
7105930
8113330
0113330
063
1113
2123
0123
Stop Event
done
iter limit
saturated
iter limit
saturated
Compiler

Compiled 38 to 26 computations (31.6% saved)

preprocess54.0ms (1.1%)

Compiler

Compiled 44 to 28 computations (36.4% saved)

end0.0ms (0%)

Profiling

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