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

Time bar (total: 1.2s)

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-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample566.0ms (47.4%)

Results
380.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-div: 107.0ms (61.4% of total)
ival-add: 50.0ms (28.7% of total)
const: 14.0ms (8% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess20.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
1229
2469
3979
41719
52599
62919
73099
83239
93279
063
193
093
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)

explain49.0ms (4.1%)

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
26.0ms512×0valid
Compiler

Compiled 32 to 17 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (47.3% of total)
ival-add: 3.0ms (35.5% of total)
const: 1.0ms (11.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune1.0ms (0.1%)

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)

simplify4.0ms (0.3%)

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)

localize18.0ms (1.5%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1/3 binary64))
Results
13.0ms256×0valid
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 (66.1% of total)
ival-add: 2.0ms (33% 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 (+ 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))))>
Calls

3 calls:

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

rewrite333.0ms (27.9%)

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
21243
310043
084703
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 x #s(literal -1/3 binary64))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (*.f64 #s(literal 1 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 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 #s(literal 1/9 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 x (/.f64 x (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #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 #s(literal 1/9 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #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 #s(literal 1/9 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.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 (*.f64 x x) #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 (*.f64 x x) #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 (*.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 (*.f64 x x)) #s(literal -1/27 binary64))) (+.f64 (+.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 #s(literal 1/9 binary64) (*.f64 x x)))))) (fma.f64 (+.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 x x) #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 (*.f64 x x) #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 x (*.f64 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 x (*.f64 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 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
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(*.f64 (+.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 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 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 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 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 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 (*.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 #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 (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 (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 x (*.f64 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 x (*.f64 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 (/.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 x (*.f64 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 (*.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 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 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 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 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 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 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 0 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 (*.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 x (*.f64 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)))

simplify8.0ms (0.7%)

Algorithm
egg-herbie
Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
28×fma-define
24×fma-lowering-fma.f32
24×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
12330
24330
39330
49330
59630
69830
79830
09830
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
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))))
Outputs
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
(+ 1/3 x)
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 #s(literal 1/3 binary64) x)

eval26.0ms (2.2%)

Compiler

Compiled 6448 to 535 computations (91.7% saved)

prune27.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1952197
Fresh000
Picked011
Done000
Total1953198
Accuracy
100.0%
Counts
198 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x #s(literal 1/3 binary64))
46.8%
x
54.5%
#s(literal 1/3 binary64)
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
1/3
x
Outputs
1/3
#s(literal 1/3 binary64)
x

localize18.0ms (1.5%)

Results
14.0ms256×0valid
Compiler

Compiled 4 to 3 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
...c/correct-round.rkt:119:19: 3.0ms (72.1% of total)
const: 1.0ms (24% of total)
backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite9.0ms (0.8%)

Algorithm
batch-egg-rewrite
Iterations

Useful iterations: 0 (0.0ms)

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

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x #s(literal 1/3 binary64))
46.8%
x
54.5%
#s(literal 1/3 binary64)
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.9%)

Counts
4 → 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)))
Outputs
(+.f64 x #s(literal 1/3 binary64))
Calls

2 calls:

8.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
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 (0.1%)

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
97.6%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
54.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (2.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00013975277456022188
2.3363961498030656
10.0ms
-734250.6677821883
-0.00022089140164111118
Results
15.0ms272×0valid
Compiler

Compiled 112 to 93 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.5% of total)
ival-add: 2.0ms (45.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.6%)

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 -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 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 -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)

soundness28.0ms (2.4%)

Rules
36×*-lowering-*.f32
36×*-lowering-*.f64
28×fma-define
24×fma-lowering-fma.f32
24×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
12330
24330
39330
49330
59630
69830
79830
09830
063
193
093
Stop Event
done
iter limit
saturated
iter limit
saturated
Compiler

Compiled 38 to 26 computations (31.6% saved)

preprocess30.0ms (2.5%)

Compiler

Compiled 44 to 28 computations (36.4% saved)

end0.0ms (0%)

Profiling

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